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3.5 Vocabulary for Solving Logarithmic Equations

 

Base

If a  is any real number and n  is a positive integer, then the n th  power of a is

 

                                                                

 

The number a is called the base and n is the exponent.  

 

Equivalent equations

Two (or more) equations having exactly the same solution(s).

 

Exponent

If a  is any real number and n  is a positive integer, then the n th  power of a is

 

                                                                

 

The number a is called the base and n is the exponent

 

Exponential form

An expression showing a logarithm as an exponent.

                                                                

                             

 

 

Logarithm

The power you raise a positive base, to (  ) in order to get the desired number.

 

 

 

Given  

 

 

 

 

 

 

 

For example

 

                                    

                                    

                                    

 

Logarithmic equation

An equation in which a logarithm of the variable occurs.  

 

 

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