What is the value of log_5 625log5625? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Kevin B. Mar 14, 2015 The answer is 44. log_5(625)log5(625) can be interpreted as, "55 to what power is equal to 625625?" Since 5^4 = 625, log_5(625) = 454=625,log5(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) 1/64log14164? How do I find the logarithm log_(2/3)(8/27)log23(827)? See all questions in Logarithm-- Inverse of an Exponential Function Impact of this question 15790 views around the world You can reuse this answer Creative Commons License