Utilize the properties of logarithmic functions to simplify expressions.

Link to section in online textbook.

First, watch this video to learn about the various properties of logarithmic functions. You’ll want to memorize the following:

Use the properties of logarithmic functions to simplify the expression below to of a single number or variable.



Example answer: . If you aren’t using the Math Editor at the top of the page, make sure you include all the parentheses!

Use the properties of logarithmic functions to simplify the expression below to of a single number or variable.



Example answer: . If you aren’t using the Math Editor at the top of the page, make sure you include all the parentheses!

In the last objective, we saw that we could solve logarithmic equations by converting to exponential form. If that doesn’t work, we may want to try using properties of logarithmic functions to simplify, then convert (if needed). Try this with the problem below.

Use the properties of logarithmic functions to solve the logarithmic equation below.

Main takeaway: Before looking, you should work through the previous problems. Have you finished working through the examples?