How do you write #(1/3)^-5 = 243# in log form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer geerky42 Mar 29, 2018 #log_{1/3}243 = -5# Explanation: #"base"^{"exponent"} = "answer"\ \ leftrightarrow\ \ log_{"base"}"answer"="exponent"# 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 3025 views around the world You can reuse this answer Creative Commons License