How do you evaluate #log_64 4#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer A. S. Adikesavan Jul 19, 2016 #1/3# Explanation: Use# log_b a=log a/log b#. Here, #log_64 4=log 4/log 64=log 4/(log 4^3)=log 4/(3 log 4)=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 7922 views around the world You can reuse this answer Creative Commons License