How do you solve 5^x=45? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Shell Oct 17, 2016 x=2.365 Explanation: 5^x=45 log5^x=log45color(white)(aaa)Take the log of both sides xlog5=log45color(white)(aaa)Use the log rule logx^a=alogx (xlog5)/log5=log45/log5color(white)(aaa)Divide both sides by log5 x=2.365 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 5405 views around the world You can reuse this answer Creative Commons License