Question

does x= 1/8 for
(1/8)^(2x-5) = 4^(x+8)

Answer 1

plug x = 1/8 into the equation and see
;

(1/8)^ (-19/4) = 19483
4 ^(8 1/8) = 77935


no

Answer 2

No i need to find what x= though.

Answer 3

How do you do it right

Answer 4

take logs of both sides
(2x - 5) log 1/8 = (x+8) log 4
(2x-5)
------ = log 4 / log 1/8 = -2/3
(x+8)

2x - 5 = -(2/3)x - 16 /3
6x - `5 = -2x - `6
8x = -1
x = -1/8

Answer 5

you just had sign wrong

this results checks out