1. ## logs

Solve for x

log2(3x-2)-log2(x-5)=4

3x-2/x-5=4^2
I am doing something wrong because I cannot come up with the correct answer that is given.

2. There is something wrong, but the result is the same.
$\displaystyle \frac{3x-2}{x-5}=2^4$ (not $\displaystyle 4^2$ though the result is 16).
From here you can solve for x.

3. Originally Posted by getnaphd
Solve for x

log2(3x-2)-log2(x-5)=4

3x-2/x-5=4^2
I am doing something wrong because I cannot come up with the correct answer that is given.
from there its

(3x-2)/(x-5)=2^4

3x-2=16(x-5)

distribute

3x-2=16x-80