Properties
Examples
Example 1 Use the properties of logs to simplify the expression:
Since this expression involves adding two exponents, Product of a Power Property will be used.
Example 2 Use the properties of logs to simplify the expression:
![ProductToPowerEx2-1 ProductToPowerEx2-1](https://claregladwinresd.glk12.org/pluginfile.php/952/mod_book/chapter/325/Exponential_and_Logarithmic_Functions/Images/ProductToPowerEx2-1.png)
Step 1. Use the properties of logs to eliminate the coefficient.
Since this expression involves multiplying a number by an exponent, Power to a Power Property will be used.
![ProductToPowerEx2-2 ProductToPowerEx2-2](https://claregladwinresd.glk12.org/pluginfile.php/952/mod_book/chapter/325/Exponential_and_Logarithmic_Functions/Images/ProductToPowerEx2-2.png)
Step 2. Simplify to one log.
Since this expression involves subtracting two exponents, Quotient of a Power Property will be used.
![ProductToPowerEx2-3 ProductToPowerEx2-3](https://claregladwinresd.glk12.org/pluginfile.php/952/mod_book/chapter/325/Exponential_and_Logarithmic_Functions/Images/ProductToPowerEx2-3.png)