What is the value of #log_5 625#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Kevin B. Mar 14, 2015 The answer is #4#. #log_5(625)# can be interpreted as, "#5# to what power is equal to #625#?" Since #5^4 = 625, log_5(625) = 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 13938 views around the world You can reuse this answer Creative Commons License