# Logarithms 7 - Power Property of Logs

Taught by YourMathGal
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Lesson Summary:

In this lesson on logarithms, we learn about the power property of logs and how to use it to simplify expressions. The power property of logs states that the log of a base b of a to the n is equal to n times the log of a base b. By using this property, we can rewrite expressions and solve problems involving logarithms more easily. The lesson provides examples and practice problems to help solidify the concept.

Lesson Description:

Develops Power Property of Logs and works problems and examples using the power property. .

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

• What is the power property of logarithms?
• How can you use the power property of logs to rewrite log base 3 of x^5?
• How can you use the power property of logs to rewrite log base 4 of the cube root of m?
• How can you use the power property of logs to rewrite log base 6 of 12^-1?
• How can you use the power property of logs to write 3*(log base 5 of 2) as a single log?
• How can you use the power property of logs to write 2*(log base 4 of m) as a single log?
• How do you derive the power property of logarithms?
• Why does the power property of logarithms work?
• How can you simplify the log base 2 of 4^3 using the power property of logs?
• What are the properties of logarithms?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson explains and derives the product property of logarithms and then uses the property to simplify or rewrite several expressions. This video will not only help you understand the property and why it works, but you will also learn how to use the property with actual problems.