### 4.3 Logarithm Functions and Graphs

1: Introduction to Logarithmic Functions

This video includes:

*Definition of logarithmic functions

*Why logarithmic functions are necessary

*Rewriting logarithmic functions into exponential form and vice versa

*Simple examples of evaluating logarithmic expressions

Review of writing exponential fractions as roots can be found here: R.8, video #10

2: Common and Natural Logarithms, and Simplifying Special Case Examples

This video includes:

*Definition of Common Logarithm, base 10

*Definition of Natural Logarithm, base e

*Simplifying simple examples of Common Logs and Natural Logs using the definition

*Evaluating logarithmic examples in which things cancel, this leads us into creating properties in the next video

3: The Basic Properties of Logarithmic Expressions; and Simplifying Logarithmic Expressions using a Graphing Calculator

This video includes:

*The basic properties of logarithmic expressions as worked through specific examples in video #2.

*Evaluating Common Logs and Natural Logs using a calculator

*Change of Base Formula

*Evaluating all logs on the calculator using the change of base formula

4: Introduction to Graphing Logarithmic Functions

This video includes:

*Showing how the graph of a Logarithmic Function is determined from the inverse of an Exponential Function

*Determining the domain, range, asymptotes, and intercepts of a logarithmic function

*Example of graphing Log of x, where the base is greater than 1

5: Graphing Logarithmic Functions using Transformations

This video includes:

*Example of graphing Log of x, where the base is between 0 and 1

*Reviewing transformations of graphs. Are more detail explanation of all transformations can be found in Section 2.8

*Example of graphing a Log function by shifting it

6: More Graph Examples of Logarithmic Functions

This video includes:

*Example of graphing a Log function by shrinking and shifting it

*Example of graphing a Natural Log function by shrinking and shifting it