#mind explaining to me how 2 goes to the other sideand 4 dissapearsand how x+4 gets unrooted

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tropic solarBOT
vagrant wadi
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helpppppp

lethal osprey
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@vagrant wadi

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hey

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so

vagrant wadi
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yo

lethal osprey
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you should know the property of exponents that if there are two expressions in which the bases are equal and the expressions are said to be equal

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then their powers must be equal

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like 729 = 3^x

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here you need to bring 729 as an exponent of 3 to be able to find the value for x

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729 = 9^3 = 3^6

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therefore x is 6

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similarly in your question

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4^(x+4) can be written as 2^2(x+4)

vagrant wadi
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ah ok

lethal osprey
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and then you can equate the powers due to the equality sign in the expression

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did you understand?

vagrant wadi
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wait so i still dont get hot x+4 gets unrooted

lethal osprey
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unrooted?

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what do you mean exactly

vagrant wadi
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the expression x+4 goes from being the root of 4 to being multiplied by 2

lethal osprey
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yeah

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just like the expression i gave you to understand as an example

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729 = 3^x

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can you solve for x like the way i explained?

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then further we can try to do your question

vagrant wadi
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you just have to make 729 squared just like the expression 3^x

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i explained that poorly

lethal osprey
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correct

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729 can be written as 3^(6)

vagrant wadi
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mhm

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which since is equal to each other x must be 6

lethal osprey
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you can cross check my multiplying 3, 6 times

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correct!

vagrant wadi
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im still really confused

lethal osprey
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similar is the solving mechanism for your question

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in your question you can basically solve it via two methods

vagrant wadi
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can you explain to me step by step?

lethal osprey
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first will be the method i explained to you

vagrant wadi
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k

lethal osprey
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and second will be taking log base 2 or 4 both sides

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since you are solving questions for exponents i guess you do not understand what logarithm is

vagrant wadi
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ig

lethal osprey
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okay 1 sec

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4^(x+4) = 2^(x)^2
(2^2)^(x+4) = 2^(x)^2 (since 2^2 = 4)
2^{2(x+4)} = 2^(x)^2
as the bases in a exponential equation like here are equal the powers have to be equal
there fore we write,

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2(x+4) = x^2

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from here you just solve the quadratic equation to get its roots i.e value for x

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did you understand now?

vagrant wadi
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O SHUT YES I GET IT

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mb i this i was confusing this question with another one

lethal osprey
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alright no worries!

vagrant wadi
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cuz im doing another one as we speek

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and can u help with another?

lethal osprey
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yeah you gotta focus in math

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sure

vagrant wadi
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cuz this one is pissing me off even more

lethal osprey
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hit it

vagrant wadi
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i got up to this

lethal osprey
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similarly

vagrant wadi
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thats all

lethal osprey
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wait wait

vagrant wadi
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im not even sure thats correct :/

lethal osprey
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the thought process for questions like these is majorly

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that you see soo many 7s right?

vagrant wadi
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yea ig

lethal osprey
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try to answer my questions so that i can explain you better

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yeah correct

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so try to make the bases equal that it 7

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now you need to try to make 16807 in the form of 7

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its a tedious work

vagrant wadi
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waiiit

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nah

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surley not

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holly fuuuuuuuuu]

lethal osprey
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tell me how many times you need to multiply 7 to get 16807

vagrant wadi
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wb the (7x)^2

lethal osprey
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you did that wrong

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its 7^(x^2)

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not 7x^(2)

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its 7 raised to x sqaured

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not 7x raised to 2

vagrant wadi
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wait what

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but the picture

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7^5=16708

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btw

lethal osprey
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the first picture is the question right?

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correct

vagrant wadi
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yea

lethal osprey
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its 7 raised to x squared

vagrant wadi
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is it not just 7^2x

lethal osprey
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it is

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look at the second picture you sent

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its not what you are saying right now

vagrant wadi
lethal osprey
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oh my bad

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lmao

vagrant wadi
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e

lethal osprey
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i saw it wrong

vagrant wadi
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lol alg

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just start off from where u made the mistake

lethal osprey
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its 7^x squared

vagrant wadi
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yea

lethal osprey
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now as you made 16807 in terms of 7

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just equate the powers for x like the previous questions

vagrant wadi
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hold up

vagrant wadi
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wait im so confused on what i did for the 2nd question

lethal osprey
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start again

vagrant wadi
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what in the hell

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alr

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gimme a sec

lethal osprey
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just chill out bruh

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dont get tensed up

vagrant wadi
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wait did i mess up?

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idk at this point :/

lethal osprey
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yeah you did in the first attemot which you sent me

vagrant wadi
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cuz i gotta gety my sleep

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im always tired

lethal osprey
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i feel you

vagrant wadi
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so whats the first step in

lethal osprey
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just concentrate on the LHS

vagrant wadi
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k

lethal osprey
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do what you can

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what you know about the exponential properties

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for the LHS

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and then send me

vagrant wadi
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7^x times 7^1+2x can turn into 7^x+1+2x

lethal osprey
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the answer is 4 right?

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correct

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and then do the same for denominator

vagrant wadi
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yes

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7^2x

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dividing means subtracting

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sooo

lethal osprey
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but you need to subtract

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correct

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when you are done resolving the LHS

vagrant wadi
lethal osprey
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try to bring RHS in terms of LHS so that you can somehow find x

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man typing this much is hard fr

lethal osprey
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like try to recall how i said you should do

vagrant wadi
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can i not just do this?

lethal osprey
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do what

vagrant wadi
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wait shi nvmd

lethal osprey
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correct

vagrant wadi
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oh

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its correct?

lethal osprey
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yeah

vagrant wadi
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alr :)

lethal osprey
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u subtracted the power in the denominator from the numerator right

vagrant wadi
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yea

lethal osprey
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thats what you do in a fraction when you have the same bases

vagrant wadi
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ahhh ic now

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its all comming together

lethal osprey
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yeye

vagrant wadi
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but the one from before 2(x+4)=x^2

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i still dont know how to find x ๐Ÿ’€

lethal osprey
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did you learn quadratic equations?

vagrant wadi
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yes

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but im a dumbass at quadratics

lethal osprey
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then just solve the quadratic

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take all the terms on one side

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and just solve like a normal quadratic

vagrant wadi
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e

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ur making it sound so simple lol

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wait its two numbers that multiple to make the middle number right?

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and add to the right number

lethal osprey
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no

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its the opposite

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2 no.s which make the right number and add to the middle number

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or just use the quadratic formula if you are unable to create factors

vagrant wadi
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oh alr

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MY BRAINS GOING INTO OVERLOAD

lethal osprey
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bruh

vagrant wadi
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JK

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im just dumb ๐Ÿ™ƒ

lethal osprey
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same here

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we are the same

vagrant wadi
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i just wanna get smarter

lethal osprey
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fr

vagrant wadi
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btw while i finish off these questiions can u take a look at this for me?

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havent even read it

lethal osprey
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try it first

vagrant wadi
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ill work on it after these ones

vagrant wadi
lethal osprey
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are you done?

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what similarity do you find in the question?

vagrant wadi
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ok so apparently this also has to do with quadratics

lethal osprey
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correct

vagrant wadi
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you can turn the similar terms like 2^x into say a

lethal osprey
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yes

vagrant wadi
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it would be a^2-5a+4=0

lethal osprey
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like this method you can also solve biquadratics without any cubic terms or it gets messy

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do you know what they are?

vagrant wadi
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(x+1)(x-1)

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difference of two squares or perfect squares?

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is that what ur saying?

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ik that

lethal osprey
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nah good guess

vagrant wadi
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oh

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then idk what biquadratics are

lethal osprey
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a polynomial with a degree of 4

vagrant wadi
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this is correct tho right/a^2-5a+4=0

vagrant wadi
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no clue what on earth that is

lethal osprey
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like quadratic is a polynomila with a degree 2

vagrant wadi
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im a year 9 currently on headstart learning yr 10 stuff

lethal osprey
lethal osprey
vagrant wadi
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DAM

lethal osprey
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the things you are asking me ?

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are you from the US

vagrant wadi
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no im in australia

lethal osprey
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ay

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i used to live in perth

vagrant wadi
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BUT HOLLY SHIT IN YEAR 6 WE DIDNT KNOW WHAT QUADRATICS ARE

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AND UR HERE LEARNIN THIS STUFF

vagrant wadi
lethal osprey
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yeah im in yr 12

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as you say

vagrant wadi
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dang

lethal osprey
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so yeah basically you solve for a

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find its roots and then equate it with 2^x as you took a as 2^x

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now there is a really good place where you will be stuck and then ill explain you that really well which is a main theory for polynomials

vagrant wadi
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help

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so i now have 2x-4=0 and 2x-1=0

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so its x=2 for the first one

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but for 2x-1=0 idk what to do

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2x=1

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x=1/2

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but answers say thats incorrect

lethal osprey
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lmao

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no

vagrant wadi
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what did i dooo

lethal osprey
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tell me when (any constant)^x becomes 1

vagrant wadi
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0

lethal osprey
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exactly

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that is what is happening over here

vagrant wadi
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so im basically just guessing?

lethal osprey
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in the second part

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no

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you are understanding

vagrant wadi
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oooh 2x=(2)^x

lethal osprey
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yeah

vagrant wadi
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that what ur saying?

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dam

lethal osprey
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wait n

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no

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wtf

vagrant wadi
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e

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๐Ÿ˜‚

lethal osprey
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2x is not equal to 2^x

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its totally different

vagrant wadi
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then how would i know what to do

lethal osprey
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you typed it wrong

vagrant wadi
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then tell me :/

lethal osprey
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didnt they teach you a^0 = 1 where a is any number

vagrant wadi
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they did

lethal osprey
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then solve for 2^x = 1

vagrant wadi
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but its currently 2x

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not 2^X

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or am i trippin

lethal osprey
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by which number should i raise 2 so that i get 1

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u tripping

vagrant wadi
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hold up lemme see

vagrant wadi
lethal osprey
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you considered a = 2^x

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not 2x

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look at the question

vagrant wadi
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yup im trippin

lethal osprey
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alright i gotta study rn

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message me if you have any doubts

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sorry

vagrant wadi
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for the first one its just 2^x=4

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x=root4

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oops

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mb

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wait hold up

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wtf

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nvmd

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yes

vagrant wadi
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@lethal osprey for the 2nd one where 2^x-1=0

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theres 2 answers

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x=2 and x=0

lethal osprey
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correct

vagrant wadi
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wait is there?

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oh yea there is

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how do i get x=2 for the 2nd again? i forgot

lethal osprey
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finally

vagrant wadi
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how i did it

lethal osprey
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wdym

vagrant wadi
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so yk how x=0 right?

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is there an equatioin for it? where 2^x -1=0?

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or do you just like DO IT

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@lethal osprey

lethal osprey
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wdym

vagrant wadi
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for how is 2^x -1=0? turned into x=0

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whats the steps

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or is it just like

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2^x=1

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and then your just suppsoed to know that x=0

lethal osprey
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bruh

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i just told you

vagrant wadi
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ITS 11:50 IM SORRY

vagrant wadi
lethal osprey
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anything raised to the power 0 is 1

vagrant wadi
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IK

lethal osprey
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this is a property i asked you and you said you knew

vagrant wadi
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SO ARE YOU MEANT TO JUST IMPLY THAT?

lethal osprey
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then what dont you understand about hte equation

vagrant wadi
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OR IS CAN YOU EQUATE FOR IT?

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once ur at the point where 2^x=1

vagrant wadi
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or can you equate for it?

lethal osprey
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yeah

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what else are you supposed to do

vagrant wadi
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and how is x also 2

lethal osprey
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for what?

vagrant wadi
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you said in the equation 2^x-1=0 / x can be 0 and 2

lethal osprey
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no

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for the other equation the answer came 2

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2^x = 4

vagrant wadi
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wait what on fucks lord

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i just realised

lethal osprey
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there is only 1 answer for 1 equation

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wtf

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bruhh

vagrant wadi
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wtf

lethal osprey
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omg

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u gotta sleep man

vagrant wadi
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yea ill just ask my math teacher tmr

lethal osprey
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head to sleep fr

vagrant wadi
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yea ik

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i need my daily 7 hrs

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even tho im suppsoed to get 8+

lethal osprey
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when i was in 9th grade

vagrant wadi
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sleep deprived asf

lethal osprey
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i used to sleep like 13hrs

vagrant wadi
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DANGGGGGGGGGGGGGGGGGGG

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WWWWW

lethal osprey
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cuz it was lockdown lmao

vagrant wadi
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HOW

lethal osprey
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hehhehe

vagrant wadi
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lucky mf

lethal osprey
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fr

vagrant wadi
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TY FOR ALL YOUR HELP THO

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TYSM

lethal osprey
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i literally failed in my civics cuz i used to do math all the time

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welcome!

vagrant wadi
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DAM

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ID LITERALLY PAY FOR U TO TUTOR ME

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TYSM

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GN

lethal osprey
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lmao

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it would be so better if we could talk

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it would be easier and faster

vagrant wadi
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my whole family has covid soo lucky me if i get to stay home

lethal osprey
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wth

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now?

vagrant wadi
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last week of school for me until summer holidays

lethal osprey
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covid now?

vagrant wadi
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and i get go back to the land of ching chongs

lethal osprey
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china?

vagrant wadi
lethal osprey
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LMFAO

vagrant wadi
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and spread to my brother

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my mum might be fine lol

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they aint sick

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just have it

lethal osprey
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same here

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i had it too

vagrant wadi
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same

lethal osprey
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my entire family

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but nothing serious

vagrant wadi
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but mine was shit cuz i got covid while flu

lethal osprey
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double impounder

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lol

vagrant wadi
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the grim reaper probably visited me a few times back then

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LOL

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gn, can i dm u for any help if i need>

lethal osprey
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sure

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would be better if we hop on a call

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my fingers are tired

vagrant wadi
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yea

vagrant wadi
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lol

lethal osprey
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mine have 3

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as every one does

vagrant wadi
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idk i jsut never get tired of typing

lethal osprey
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lol

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i dont really get tired

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i get bored

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which makes me tired smh

vagrant wadi
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imma sleep now but TYSM FOR EVERYTHING TYYYYYYYYYYYYYYYYYYYYYY

lethal osprey
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oke

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bye

vagrant wadi
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bye noiw

lethal osprey
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bye

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close the channel before you go

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.close

vagrant wadi
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.close