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Table of Contents | Workbook: Lessons & Exercises

Math
Exponential and Logarithmic Functions


Definition of the logarithmic function:

provided .

b is called the base of the logarithm. Two common values for b are 10 (common logs) and e (natural logs).

The properties of logarithms (assume )












  1.  

These properties are vital in handling expression and equations involving logarithms or exponential numbers.

For instance if the variable in the equation occurs in the exponent () we need a property of equations not yet mentioned. In this case we will take the logarithm of both sides.

 

Solve:

Take log of both sides. Use a convenient base.

 

Using property 3 we get the following.

   
   
   

 

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