How do you evaluate #log_(1/3) (1/81)#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer CW Sep 12, 2016 #4# Explanation: recall that #log_2(8)=3, => 2^3=8# Let #log_(1/3)(1/81)=a# #(1/3)^a=1/81# #(1/(3^a)) =1/81# #3^a=81# #a=4# 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 5282 views around the world You can reuse this answer Creative Commons License