Talk:Algebra II/Logs

Latest comment: 2 years ago by Guy vandegrift in topic Guy's Scratchwork

Guy's Scratchwork

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When writing alone on Wikiversity I like to temporarily store fragments of the article on the talk page.--Guy vandegrift (discusscontribs) 03:54, 30 November 2021 (UTC)Reply

Appendices

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Power to a power rule:  
This equation has two exponents,   and   We need to convert each equation into one that involves a logarithm. In order to do this we need to define two variables,   and  
 .

This last equation for   used the Power to a Power rule for exponents. Now we use our prescription for converting equations with powers into equations involving logarithms:

 

These two equations can be combined to yield the desired identity:

 

Removing all the clutter in this equation yields an important rule concerning the logarithm of   raised to the   power:

 |}

The other identities need to proven in the same fashion. Among them are:  .

 
Leave a message at User talk:Guy vandegrift if you are a student, professor or other scholar interested proving this or related identities. This is a Quizbank project.


Quotient of powers (exponents):  

Scratchwork

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{{NumBlk|:|<math>xx
 
</math>|n|LnSty=.1px dashed red}}


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