How do you write # log x = y# in exponential form? Precalculus Properties of Logarithmic Functions Logarithm-- Inverse of an Exponential Function 1 Answer KillerBunny Oct 5, 2015 #x= e^y# Explanation: Simply consider the fact that, if #log(x)=y#, than also #e^{log(x)}=e^y# must hold. Now use the fact that the exponential function #e^x# is the inverse of the logarithmic function #log(x)#, which means that #e^{log(x)}=x#, and thus the solution. 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 13863 views around the world You can reuse this answer Creative Commons License