Question

Solve for x
4^5x=(1/32)^1-x

Answer 1

x = -1

Explanation:

`{4}^(5x) = {2}^(2(5x)) = {2}^(10x)`

`{( (1)/(32)) }^((1 - x)) = {2}^( - 5(1 - x)) = {2}^((5x - 5))`

or

`{2}^(10x) = {2}^((5x - 5))`

Since both sides have the same base, we can write

10x = 5x - 5

or

5x = -5

x = -1