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 6420 views around the world You can reuse this answer Creative Commons License