how to solve for x here

[sweet tree]

how to solve for x here

[inner crescent]

write $$x^2 - 45 = (x-9)(x+9)$$

[sour yew]

PD_Sathya

[inner crescent]

now, use $$log(ab) = log(a) + log(b)$$

[sour yew]

PD_Sathya

[proud shadow]

This is whats confusing me square root of 45 is not 9 tho

[inner crescent]

Apologies, I'm very sleep deprived.

[proud shadow]

No worries

[inner crescent]

replace 9 with sqrt(45)

[proud shadow]

👍

[inner crescent]

or I think $$log(\frac{x^2 -45}{4x}) = 0$$

[sour yew]

PD_Sathya

[proud shadow]

Mm but i am trying to find x

[eternal geyser]

Bro

Can't you like cancel logs by taking the power and equate you'll get a quadratic

And solve it

[inner crescent]

log (1) = 0, in any base so try to solve for x^2 - 45/4x = 1.

[proud shadow]

Its some imaginary number

[eternal geyser]

Wait I'll try

[inner crescent]

oh complex numbers are allowed?

[proud shadow]

Ya

This is like 10th grade algebra

[eternal geyser]

I got it

Use factorisation

[proud shadow]

Ohh thanks

[inner crescent]

no imaginary roots either.

[eternal geyser]

Np

[proud shadow]

Nope

Alr how do i close this

[eternal geyser]

Idk lol

[proud shadow]

Bruh

[eternal geyser]

I just arrived