How do I find the inverse of e^x?

1 Answer
Sep 5, 2014

The answer is y=ln x.

We find the answer the same way we find any inverse; we swap x and y then solve.

y=e^x
x=e^y swap
ln x=ln (e^y) take logarithm of both sides
ln x=y

ln and e functions cancel each other because they are inverses.