Question

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

Answer 1

x = -1

Step-by-step explanation:

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

${( \frac{1}{32}) }^{(1 - x)} = {2}^{ - 5(1 - x)} = {2}^{(5x - 5)}$

or

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

Since both sides have the same base, we can write

10x = 5x - 5

or

5x = -5

x = -1