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 1957 views around the world You can reuse this answer Creative Commons License