Why does #e^(ln x) = x#? Precalculus Properties of Logarithmic Functions Natural Logs 1 Answer bp Jun 8, 2015 It is because log of x to the base e is ln x, that is # log_e x = ln x#. This means #e^lnx = x# Answer link Related questions What is the natural log of e? What is the natural log of 2? How do I do natural logs on a TI-83? How do I find the natural log of a fraction? What is the natural log of 1? What is the natural log of infinity? Can I find the natural log of a negative number? How do I find a natural log without a calculator? How do I find the natural log of a given number by using a calculator? How do I do natural logs on a TI-84? See all questions in Natural Logs Impact of this question 11453 views around the world You can reuse this answer Creative Commons License