## anonymous 5 years ago e^log x =x. How?

1. watchmath

You mean $$e^{\ln x}=x$$?

2. anonymous

exactly..

3. watchmath

Because we define $$\ln x$$ as the inverse of $$e^x$$ function.

4. watchmath

Not quite Two functions $$f(x),g(x)$$ are inverse to each other if $$f(g(x))=x$$ and $$g(f(x))=x$$