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 14534 views around the world You can reuse this answer Creative Commons License