How do you evaluate #log_(1/3) 27 #? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer P dilip_k Mar 20, 2016 #-3# Explanation: let #log_(1/3)27=x# #=>(1/3)^x=27=3^3# #=>(3)^-x=27=3^3# #:. x=-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 7788 views around the world You can reuse this answer Creative Commons License