How do you evaluate #log_6 36#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer sjc Apr 21, 2018 #log_6 36=2# Explanation: we use the definition of logs #log_ab=c=>a^c=b# #log_636=c# #=>6^c=36# #:.c=2# #log_6 36=2# 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 5398 views around the world You can reuse this answer Creative Commons License