Question

what is the inverse of f(x)=lnx ?

Answer 1

well, how else can you write ln?

Answer 2

what does ln stand for?

Answer 3

\[
y=\ln x\\
e^y = e^{\ln x} = x
\]So, our inverse function \(f^{-1}(y) = e^y\)

Answer 4

We could alternatively say \(f^{-1}(x)=e^{x}\).