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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