How do you evaluate #log_(1/5) (1/125)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Alan N. Aug 23, 2016 3 Explanation: #log_(1/5) (1/125) = log_(1/5) (1/5^3) = log_(1/5) (1/5)^3# #= 3log_(1/5) (1/5)# #=3# Answer link Related questions What is a logarithm? What are common mistakes students make with logarithms? How can a logarithmic equation be solved by graphing? How can I calculate a logarithm without a calculator? How can logarithms be used to solve exponential equations? How do logarithmic functions work? What is the logarithm of a negative number? What is the logarithm of zero? How do I find the logarithm #log_(1/4) 1/64#? How do I find the logarithm #log_(2/3)(8/27)#? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 2700 views around the world You can reuse this answer Creative Commons License