For one-to-one functions, the inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function.
For example:
[tex]f(x)=e^{x}[/tex]
[tex] f^{-1} (x)=ln\ x[/tex]
[tex]f(x)=ln\ x[/tex]
[tex] f^{-1} x=e^{x}[/tex]
