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 2758 views around the world You can reuse this answer Creative Commons License