Precalculus : Express Logarithms in Expanded Form

Study concepts, example questions & explanations for Precalculus

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Example Questions

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Example Question #81 : Exponential And Logarithmic Functions

Completely expand this logarithm: 

Possible Answers:

The answer is not present.

Correct answer:

Explanation:

We expand logarithms using the same rules that we use to condense them.

Here we will use the quotient property  

 

and the power property  

Use the quotient property:

Rewrite the radical:

Now use the power property:

 

 

Example Question #12 : Express Logarithms In Expanded Form

Expand the logarithm 

 

Possible Answers:

Correct answer:

Explanation:

In order to expand the logarithmic expression, we use the following properties

As such

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