If 5^x = 1/125, find the value of x?

1 Answer
Sep 14, 2017

x =-3

Explanation:

There is a base f 5 on the left side, so write the denominator on the right as a base of 5 as well.

5^x = 1/125

5^x = 1/5^3

Move the base to the numerator.

5^x =5^-3

If the bases are equal, the indices are equal:

:. x= -3