Another important class of functions besides
polynomials is exponential and
logarithmic functions. Exponential and logarithmic functions are
inverses of each other. An exponential
function is a function of the form
*f* (*x*) = *a*
^{x}
, where
*a* > 0, *a*≠1
, and
*x*
is any real number. The inverse of this function is a logarithmic function,
*f* (*x*) = log_{a}
*x*
. In the following sections, we'll review some characteristics
of exponents and logarithms, and see how they apply to functions with
exponents and logarithms. We'll also discuss the number
*e* 2.718281828…
and its special relevance to these types of functions. In
the last section we'll take a look at some applications of these functions.