How do you solve #log_5(4) #? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Trevor Ryan. Nov 11, 2015 #log_5 4 =0,861# Explanation: By definition, #y=log_ax iff a^y=x# #therefore log_5 4==y iff 5^y=4# This is so iff #ylog5=log4# #iff y=log4/log5=0,861# 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 5945 views around the world You can reuse this answer Creative Commons License