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

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Answer 1 · 2017-09-14T20:35:17

#x =-3#

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#