Change of Base Formula

The change of base formula is very important because most calculators do not have a log to any base button.

YouTube Playlist: Logarithms and their Graphs

This formula allows us to calculate any logarithm given only two bases on our calculator.

Apply the change of base formula as follows.

We could choose any base. However, it is wise to choose base e or 10 because there is a button for them on most calculators.

Evaluate using a calculator and round off to the nearest thousandth.

YouTube Video:

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