Question #69c90 Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer David L. Apr 5, 2017 #log(a+b)-log(a)# Explanation: Use the logarithm rule #log(a/b)=loga-logb# Using this #log# rule, you are able to expand the compacted logarithm #log((a+b)/a)=log(a+b)-log(a)# 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 1395 views around the world You can reuse this answer Creative Commons License