How do you use the properties of logarithms to rewrite the expression #1/8log_3 81#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Andrea S. Nov 30, 2016 #1/8log_3 81 =1/2# Explanation: As #81=3^4#, #log_3(81)=4# and #1/8log_3(81)=1/8*4=1/2# 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 1489 views around the world You can reuse this answer Creative Commons License