# Logarithms 9 - Properties of Logs

Taught by YourMathGal
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Lesson Summary:

In this lesson on logarithms, you will learn about the product, quotient, and power properties of logs. Through various examples, you will see how to simplify expressions using these properties and how to apply them to solve problems. By the end, you will have a solid understanding of these fundamental properties of logarithms.

Lesson Description:

Practice using the product, quotient, and power properties of logs. .

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

• How can you use the properties of logs to simplify expressions?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 12?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of (square root of 5)/9?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of .4?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 15b^4?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 2.5?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of cube root of 2.5?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of 25?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of (b^2)/8?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of cube root of 25?
• If log base b of 2 = m, log base b of 3 = n, and log base b of 5 = x, what is log base b of .08?
• #### Staff Review

• Currently 4.0/5 Stars.
This lesson goes through a bunch more practice problems to illustrate how the properties of logarithms can be used to simplify and rewrite expressions. All steps and work involved in simplifying these expressions are explained and shown. This will especially help solidify the product and quotient rules for you. Substitution is used in these problems and some of the methods used to simplify are a little tricky.