How do you write the equation #(1/3)^-2=9# in logarithmic form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer t0hierry · Jacobi J. Jun 29, 2018 #-2 log(1/3) = log 9# Explanation: Take the log of both sides. Left Hand Side: #log(1/3)^-2 = -2 log (1/3) = 2 log 3# Right Hand Side: #log(9) = log(3^2) = 2 log 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 2386 views around the world You can reuse this answer Creative Commons License