# Logarithms 6 - Quotient Property of Logs

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Taught by YourMathGal
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Meets NCTM Standards:
Lesson Description:

Develops the Quotient property of logs, and provides examples and problems. .

More free YouTube videos by Julie Harland are organized at http://yourmathgal.com

Questions answered by this video:
• What is the quotient property of logarithms?
• How do you write log base 3 of x/7 as a difference of logs?
• How do you write log base 2 of 10/11 as a difference of logs?
• How do you write log base x of 2/7 as a difference of logs?
• How do you write log base 2 of 5 - log base 2 of (x + 1) as a single log?
• How do you write log base 5 of x^2 - log base 5 of (x^2 - 1) as a single log?
• How do you write log base 2 of 8/x as a difference of logs and simplify?
• How do you write log base m of m^5/2 as a difference of logs and simplify?
• How do you simplify log base 2 of (32/8) using the quotient rule of logs?
• How do you derive the quotient property of logarithms?
• Why does the quotient property of logarithms work?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains and derives the quotient property of logarithms and then does several example problems showing how to go from a single logarithm quotient to a difference of logarithms and also from a difference back to a single logarithm. The results are simplified where possible. All steps in this process are explained. Watching this video will not only show you how and why this property works, but it also gives you practical examples of problems using the rule.