To solve this equation, we need to first simplify it.

Given:
(1/125)^x = √25

Simplify:
(1/125)^x = 5

Now, we need to find the value of x.

To find the value of x, we need to express both sides of the equation with the same base.

(1/125)^x = (5^(-3))^x
(1/125)^x = 5^(-3x)

Now, we can equate the exponents:

x = -3x

Solving for x:
x = -3x
4x = 0
x = 0

Therefore, the value of x that satisfies the given equation is x = 0.