**Chapter 8Exponential and Logarithmic Functions**

8.1 Exponential Functions

8.2 Solving Exponential Equations

8.3 Logarithmic Functions

8.4 Properties of Logarithms

8.5 Common Logarithms

8.6 Natural Logarithms and Base *e*

8.7 Solving Exponential and Logarithmic Equations

**8.1 Exponential Functions**

You may have heard the term “exponential growth.” This expression is typically used in everyday language to describe something that grows very rapidly. Mathematically, though, an exponential function can describe rapid growth or decrease (often called decay).

An *exponential function* has the form *f* (*x*) = *b*^{x} where *b* > 0 and *b* ≠ 1. Notice that the base is the constant b, while the variable is an exponent.

**Example:** Graph the function *f* (*x*) = 2^{x}.

**Solution:** Substitute ...