How do you find the exact value of #log_5(1/125)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer salamat Mar 15, 2017 #-3# Explanation: #log_5(1/125) = log_5(125^-1)# #= log_5 (5^3)^-1 = log_5 5^-3 = -3 log_5 5 = -3(1) = -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 10872 views around the world You can reuse this answer Creative Commons License