How do you evaluate #log_4 64#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer MeneerNask Jul 9, 2015 #64=4^3# so you may rewrite: Explanation: #log_4 64=log_4 4^3# The exponent rule: #=3*log_4 4# And since #log_x x=1# (always!): #=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 6311 views around the world You can reuse this answer Creative Commons License