Solve for x:

Question

(1/25)^x+2=125^-x

Answer 1

I will assume you mean
(1/25)^(x+2) = 125^-x
or else we got ourselves one doosey of a problem

(5^-2)^(x+2) = (5^3)^-x
5^(-2x-4) = 5^(-3x)
then
-2x-4 = -3x
x = 4