How do you find the exact value of #log_3 81^-0.2#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Gerardina C. Dec 29, 2016 #-0.8# Explanation: Since #loga^b=bloga#, the given expression becomes: #-0.2log_3 81# #-0.2log_3 3^4# #-0.2*4# #-0.8# 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 1749 views around the world You can reuse this answer Creative Commons License