Answer:
x = 4
Step-by-step explanation:
Dividing by 8^x, we have ...
(2x/8)^x = 1
(x/4)^x = 1
x(log(x) -log(4)) = 0 . . . . . taking logarithms
The values of x that make the factors of this product 0 are ...
x = 0 . . . . . extraneous, as 0^0 is indeterminate
log(x) = log(4) ⇒ x = 4
