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Exponential and Logarithmic Functions

Exponential and Logarithmic Functions

Table of Contents

Terms and Formulae

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) = loga 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.

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