**Exponential and Logarithmic Functions**

## Exponential Equations

1 hr 13 min 17 Examples

- Properties of Exponents with 10 Examples
- Rules for Solving Exponential Equations with 7 Examples

## Graphing Exponential Functions

1 hr 5 min 13 Examples

- How to Graph Exponential Functions using a Table of Values
- How to Graph Exponential Functions using Transformations
- 13 Examples of Graphing Exponential Function and finding Domain and Range

## Logarithmic Functions

1 hr 22 min 20 Examples

- Properties of Logarithms
- 7 Examples of Expanding the Logarithm and Simplifying using Properties
- 6 Examples of Condensing the Logarithm and Simplifying (write as a single log)
- 6 Examples of Evaluating and Simplifying the Log without a calculator
- Change-of-Base Formula with 2 Examples

## Solving Logarithmic Equations

53 min 12 Examples

- Steps for Solving Logarithmic Equations and Review of Exponential and Logarithmic Properties
- 12 Examples of Solving the logarithmic Equation

## Graphing Logarithmic Functions

45 min 12 Examples

- Overview of Rules/Steps for Graphing Log Functions
- 12 Examples of Graphing Logarithmic Function and finding domain and range

## Compound Interest Formula

41 min 6 Examples

- Overview of Compound Interest and Formulas
- Example #1: Interest rate compounded semiannually
- Example #2: Amount after 10 years with interest rate compounded semiannually
- Example #3: Interest rate compounded (a) annually, (b) monthly, (c) daily, and (d) continuously
- Example #4: Find the principal amount with interest compounded semiannually
- Example #5: Interest rate compounded quarterly
- Example #6: Discovering the irrational number
*e*

## Exponential Growth

48 min 5 Examples

- Overview of Growth and Decay Formula and Steps for Solving
- Example #1:Bacteria is growing exponentially
- Example #2: A company’s sales are declining exponentially
- Example #3: A city’s population is growing exponentially
- Example #4: Radioactive element decays exponentially proportional to its mass
- Example #5: Half-life of a radioactive substance