How do you evaluate #g(x)=lnx# for #x=e^3#? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer Tony B Jan 8, 2017 #=>g(x)=ln(x)=3# Explanation: #ln(x)->ln(e^3)" "=" "3ln(e)# But #ln(e)=1# #ln(x)->ln(e^3)" "=" "3ln(e)" "=" "3xx1=3# 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 2218 views around the world You can reuse this answer Creative Commons License