Logarithms, Exponentials, and Equations

Notes and video examples covering the following topics:

• Function Composition
• Inverse Functions
• Exponential Functions and Their Graphs
• The Natural Exponential Function
• Logarithmic Functions
• Graphing Logarithmic Functions
• Change of Base Formula
• Properties of the Logarithm
• Solving Exponential Equations
• Solving Logarithmic Equations

 Applications (Word Problems)

• Compound Interest Problems
• Exponential Growth/Decay

Click a problem and watch it worked out on YouTube.

Function Composition:

    

Inverse Functions:

 

 

 

 

Exponential Functions and Their Graphs

   

The Natural Exponential Function

   

Logarithmic Functions

     

Graphing Logarithmic Functions

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Change of Base Formula

Properties of the Logarithm

        

Solving Exponential Equations

         

Solving Logarithmic Equations

         

Compound Interest Problems

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Exponential Growth and Decay