maths help

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[woven dirge]

are u allowed to take

log

[potent grotto]

Wdym

Like use it?

[woven dirge]

i mean can u use

logarithm

[potent grotto]

Yes I’m pretty sure that’s the topic

[woven dirge]

okay cool

$10^{x}*9^{x} = 1000\$
now take log with base 10 on both sides
$\log((90)^{x}) = log 1000$

[potent grotto]

Wait I don’t get it

Oh ok

[tame gyro]

Gary

[potent grotto]

U got 90 from doing 9x10?

[woven dirge]

yeh

correct

[potent grotto]

So it would be 90x = 1000 with log on each side

So log90(1000)

?

[woven dirge]

no

[potent grotto]

Oh

[woven dirge]

$xlog(90) = log(1000)$

[tame gyro]

Gary

[potent grotto]

Oh ok

[woven dirge]

$x = \frac{log(1000)}{log(90)}$

[tame gyro]

Gary

[woven dirge]

thats

$x = \frac{3}{log(9)+log(10)}$

[tame gyro]

Gary

[potent grotto]

This is for question A right

How do u get

[woven dirge]

yeh

[potent grotto]

3

[woven dirge]

log_10 of 1000

u take 10 to the power of 3

to get 1000

so thats the log of 1000

3

[potent grotto]

Wait so log10(1000) is 3

[woven dirge]

yep

[potent grotto]

Oh ok

[woven dirge]

u can take base to power of 3

to get the 1000

10^3

uk

[potent grotto]

So Yk how it’s 10^3

[woven dirge]

lmao

what

[potent grotto]

Why does it remain as just 3

Nd not like 10^3

[woven dirge]

well log gives just

the power

[potent grotto]

So 3

[woven dirge]

to which u can take base

to get the value

u given inside it

which was 1000

[potent grotto]

Oh ok

[woven dirge]

yep

just the power

[potent grotto]

Can u explain the bottom bit

Like the denominator

How log 90 goes to log 9 and log 10

[woven dirge]

like

log (9*10)

when to thing in multiply

u can do

log (9) + log (10) = log (9*10)

it gets break into

[potent grotto]

Ok

[woven dirge]

addition

[potent grotto]

Is that the final answer or is there more

To A

[woven dirge]

log 10

will be 1

$x = \frac{3}{log(9)+1}$

[tame gyro]

Gary

[woven dirge]

log 9 not really can be put as a whole number

so i think this is good enough

now

u do the

second one urself

[potent grotto]

Wait

Say

We didn’t use log

Can u explain it

For the first one

Without the use of log

[woven dirge]

well i can't think of a good way to do otherwise

log is the way

if the thing is in power

[potent grotto]

I’m not too sure why that’s ur answer

Cause I got a few answers

I got x= 3 / log810 ^10

[woven dirge]

whats in the denominator

[potent grotto]

Nd then I got x = log90 (1000)

I got a few answers so idk what I’m doing wrong

[woven dirge]

.

[potent grotto]

Wdym

[woven dirge]

in this

whats the denominator

[potent grotto]

Oh log810^ 10

[woven dirge]

810?

[potent grotto]

Yh

[woven dirge]

$log810^ {10}$

[tame gyro]

Gary

[woven dirge]

this?

[potent grotto]

Yh

[woven dirge]

thats roughly

2.9

so

3/2.9 thats 1

[potent grotto]

So will that be fine?

?

[woven dirge]

sorry was afk

im back

[potent grotto]

Ok

[woven dirge]

$10 log (810)$

[tame gyro]

Gary

[woven dirge]

log 810 is 2.9

multiply by 10

29

3/29

approximately

1/10

that not seems

correct

[potent grotto]

Oh ok

[potent grotto]

Wat about this one

I got this as well for one of my answers

[woven dirge]

what is it

even representing

log of base 90?

[potent grotto]

Yh

Idk wat I done there

[woven dirge]

lmfao

well u start solving it urself keep ur steps in here

[potent grotto]

Is there a yt video u could suggest me to watch to get a better understanding on how to do it

[woven dirge]

i will guide u along

now start

[woven dirge]

im here

[potent grotto]

Cause I’m very bad at this topic

[woven dirge]

lmao

dw

u start solvin

im here

i will help

now start

[potent grotto]

Ok

[woven dirge]

$10^{x}*9^{x} = 1000$

[tame gyro]

Gary

[potent grotto]

So B)

[woven dirge]

nahh

first

okay nvm

[potent grotto]

Oh

[woven dirge]

do b

nvm

do b

[potent grotto]

Ok

[woven dirge]

$10^{x}*9^{2x} = 1000$

[tame gyro]

Gary

[woven dirge]

here

[potent grotto]

So we would then do (10x 9^2)x

[woven dirge]

nah lmao

[potent grotto]

= 10^x * 9^2x

Oh

[woven dirge]

take

log

and do it step wise

im getting confused

otherwise

[potent grotto]

Ok let me have a think

[woven dirge]

do the way i did

take log both sides

[potent grotto]

So log (10^x . 9^2x) = log (1000)

[woven dirge]

yeh

[potent grotto]

Then log (10^x) + log(9^2x) = log (1000)

[woven dirge]

YES

bruh cookin

keep goin

[potent grotto]

Then … I’m stuck

I didn’t cook

[woven dirge]

u take power

out..

u can do that in log

[potent grotto]

So x . Log(10)

[woven dirge]

that was the whole point of logarithm u know u wanna get that x from the power

yep

[potent grotto]

• 2x . Log(9) = log(100)

1000*

Then now just get x on the left right?

[woven dirge]

yeh

$x + 2x * Log(9) = log(1000)$

[tame gyro]

Gary

[potent grotto]

So it would be x = log(1000) / log(10) + 2 . log(9)

[woven dirge]

u are at this position

[woven dirge]

no no u don't wanna send that x with 2

$x = \frac{log(1000)}{(1+ 2 * Log(9))}$

[potent grotto]

I meant to put .

Not x

[woven dirge]

ah

okay good

[potent grotto]

That’s it right?

[tame gyro]

Gary

[woven dirge]

x = 3/(1+2*log9)

thats 1

[potent grotto]

Wait where does the log 10 go?

[woven dirge]

like we did above

log of 1000

3

[woven dirge]

log of 10 is 1

same way

[potent grotto]

Oh ok

[woven dirge]

u take base to the power of 1

[potent grotto]

Ok thx

Imma have one more run with A

Just to see if I get it

That fine?

[woven dirge]

yeh

do it

[potent grotto]

Ok thx

So

We got to put log on both sides

[woven dirge]

yeh

to take that x from the power cuz if its on there we can't

do calculations

[potent grotto]

So log (10^x) + log(9^x) = log 1000

[woven dirge]

yh

[potent grotto]

Then simplify nd apply power

[woven dirge]

yh

x out

whole thing below

3

and done

[potent grotto]

So it would be x.(log(10) + log(9)) = log(1000)

Then

X = 3/log (10) + log(9)

That correct?

But log(10) is 1

So 1 + log(9)

[woven dirge]

yeh

good

[potent grotto]

Let me show u wat I done earlier

This is wat I done

@woven dirge

[woven dirge]

lol

delete it

from existence

[potent grotto]

Oh

😂

If u don’t mind me asking

R u like qualified in maths or something

Or ur just uni student

[woven dirge]

high school

[potent grotto]

Oh alr

Same

But I missed lessons on this because I was sick for like 3 weeks

So I’m struggling on this rn 😂

[woven dirge]

lmfao

[potent grotto]

But thx for the help