How do you evaluate #log_32 2#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Cesareo R. Aug 8, 2016 #1/5# Explanation: By the logarithm definition, #y = log_32 2 equiv 32^y = 2# but #32^y = (2^5)^y = 2^{5y} = 2 = 2^1# concluding #5y=1# then #y = 1/5# 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 3819 views around the world You can reuse this answer Creative Commons License