How do you write the equation #81^(1/2)=9# into logarithmic form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer sankarankalyanam Aug 6, 2018 #color(indigo)(1/2 log 81 = log 9# Explanation: #81^(1/2) = 9# Taking Log on both sides, #log(81)^(1/2) = log 9# #color(indigo)(1/2 log 81 = log 9# #color(green)(1/2 log(9)^2 = log 9# 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 3335 views around the world You can reuse this answer Creative Commons License