# Exponential growth and decay

Contents
Learn how to analyze and manipulate exponential functions and expressions in order to study their rate of change.

## Equivalent forms of exponential expressions

Learn how to manipulate exponential expressions in different ways. For example, rewrite 8^x as 2^(3x).

## Solving exponential equations using properties of exponents

Learn how to solve advanced exponential equations by manipulating the expressions in the equations using the properties of exponents. For example, solve 2^(x+1)=8^x by rewriting 8^x as 2^(3x) and then equating x+1=3x.

## Introduction to rate of exponential growth and decay

Learn about different ways of describing the rate of change of exponential functions.

## Interpreting the rate of change of exponential models

Learn how to analyze exponential modeling functions in order to find their rate of change.

## Constructing exponential models according to rate of change

Learn how to find the modeling function of an exponential real world context, according to the description of its rate of change.

## Advanced interpretation of exponential models

Learn how to interpret an exponential modeling function by first manipulating it according to your needs. For example, rewrite 5^(2x+1) as 5*25^x to find that the unit growth factor is 25.

## Distinguishing between linear and exponential growth

Learn how to analyze real-world quantitative relationships given as tables of values to determine whether they represent linear growth or exponential growth.