How do you evaluate g(x)=lnx for x=e^-2? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer sjc Mar 23, 2018 g(x)=-2 Explanation: g(x)=lne^(-2)---(1) using teh law of logs log_ab^n=nlog_ab (1)rarr-2lne--(2) using the law log_a a=1 we have lne=1 :.(2)rarr=-2 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 2962 views around the world You can reuse this answer Creative Commons License