If anyone could help me with this question it would be greatly appreciated.thanks

[supple berry]

what would this specific question be classified as ?-(so i can practice)

[upbeat hearth]

Is this GCSE single maths?

[supple berry]

i'm not quiet sure,sorry

but its a question to solve for c

x*

[timber dagger]

What topic @supple berry

[viscid pendant]

hidden quadratic

actually no

its just a difficult gcse power laws question

[vast pebble]

even i thot that isnt it like u do (4^x)(1^1)

4^1 mb

[viscid pendant]

yh

its not hidden quadratic tho

[vast pebble]

nah it is tho ag the sem time

at*

[viscid pendant]

wdym u dont have a quadratic

[vast pebble]

let 4^x be y

[viscid pendant]

4^x + 4(4^x)+4^2(4^x)

21(4^x) = 336

[vast pebble]

yea

[viscid pendant]

thats not a quadratic

[vast pebble]

no

[viscid pendant]

ok let 4^x be y

y + 4y + 16y = 336

[vast pebble]

yeah true true

so what do u do just solve for y then substitute 4^x back in

[viscid pendant]

yh

[viscid pendant]

well i mean u cld just divide by 21 here

[supple berry]

i'm super confused

can someone please do a step by step ?

[viscid pendant]

sure

[supple berry]

thankyou

[viscid pendant]

my handwritings shit lmk if u dont understand some bits

[supple berry]

i'll just read it and get back to you in a moment 🙂

how does 4 ^x+1 = 4 x 4x ? (in the first line)

this is a new concept to me sorry😅

[viscid pendant]

so you know 2^1 * 2^2 = 2^(2+1) right?

thats a power law

[supple berry]

ohh okay

[viscid pendant]

so essentially x^(a+b) = x^a * x^b

so thats the rule we're using here

so we have 4^(x+1), that can be split into 4^x * 4^1

[supple berry]

okay thankyou i understand that bit now 😄

[viscid pendant]

np

[supple berry]

working through the rest now👍

so onto line 4 (that 16 on it).Could you please explain how you would get there

[viscid pendant]

4 * 4^x = 4(4^x)

4^2 * 4^x = 16 * 4^x = 16(4^x)

[supple berry]

oh okay makes total sense!

but how do you get 21(4^x)?

[vocal adder]

hidden 1 (coefficient of 4^x)

so 1 + 4 + 16 = 21

[supple berry]

how is there a hidden 1?

little confused sorry😅

[vocal adder]

x^2 (coefficient is 1) likewise 3x^2 (coefficient is 3) so in this eqs 4(4^x) the coefficient is 4 so 4^x the coefficient is 1

[supple berry]

why is it not 4?

[supple berry]

i just wanna know where you guys are pulling this one from 😭

also after that, someone give me another question similar to this so i can practice 👍

[vale cedar]

when you factorise something like this your basically taking 4^x out of each term or dividing each term by 4^x so 4^x/4^x is 1 thats where it comes from

or the fact that everything has a hidden coefficient of 1

[supple berry]

i think i semi get it

Can you perhaps make a similar question for me to answer? for me to get a better sense of how to answer this sort of question on my own?

[supple berry]

👆

[vale cedar]

5^x + 5^(x+1) + 5^(x+2) = 155

[supple berry]

thanks!

also what type of question would this be classified under?

and do you have any video recommondations?

[vale cedar]

Index laws I think and idk any yt vids nothing will really look like this

[supple berry]

alr thx, im stuck on the part with the brackets..i put : 5x(1+5+10)=155 ?? is that right and if not why?

i then got 16 (5^x )= 155

which then i divided both sides by 16 got

9.6875

square root both sides by 5 so square root of that to get 15.5623745

💀

i feel like somethings gone wrong

maths is trippyyyyy

[idle sandal]

It would be 1(5^x) + 5(5^x) + 25(5^x) = 155
You said 10 but remember that 5^(x+2) means (5^x) × 5²

[austere quarry]

4^x+4•4^x+16•4^x=336
21•4^x=336
4^x=16
X=2

[still folio]

4^x=1*4^x

[wary kelp]

Is that question your stuck on a year 9 maths question?

[supple berry]

yeah

[wary kelp]

Ok that’s quite hard

[supple berry]

yeahhh,i'm not the best at math but i thought i would try and go over the things im not sure of. exibit A.-this question.😭 👆

im trying to look for videos but nothing quiet goes over this

[wary kelp]

This isn’t in my year 9 school curriculum tbh

What is the topic called

[supple berry]

index laws i belive

but a really hard one in the topic

[wary kelp]

Oh ok this is in the curriculum, just it’s like one of the hardest questions

From the topic

[supple berry]

yep! stil half confused on where the hidden 1 coefficient comes from tho😅

[supple berry]

NO ..WAIT WHY DO I GET THIS NOW -

It makes senseeeee

i can finally rest😌

[wary kelp]

This explanation makes me understand now

[supple berry]

same i was just slightly confused on where the 1 came from then i got it

it just clicked rn and i was like no wayyy,why didnt i think of this earlier

[wary kelp]

Have you done limiting reagents in chemistry

[supple berry]

i don't think so? Let me check.

[wary kelp]

Same

[supple berry]

yh i haven't lol

thanks to everyone who helped me with this question!! @viscid pendant @wary kelp @austere quarry @vale cedar @idle sandal @vocal adder @vast pebble