Question

The inverse of an exponential function is the logarithmic function. True or False?

Answer 1

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:
$f(x)=e^{x}$
$f^{-1} (x)=ln\ x$

$f(x)=ln\ x$
$f^{-1} x=e^{x}$