How do you write #log_9(27)=3/2# in exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Monzur R. Dec 16, 2016 #9^(3/2)=27# Explanation: #log_(9)27=3/2# If we raise both sides of the equation to #9#, we can rewrite it in exponential form. (Proof of why this can be done.) #9^(3/2)=27# 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 4513 views around the world You can reuse this answer Creative Commons License