Example answer: . If you aren’t using the Math Editor at the top of the page, make
sure you include all the parentheses!
Utilize the properties of logarithmic functions to simplify expressions.
First, watch this video to learn about the various properties of logarithmic functions. You’ll want to memorize the following:
Example answer: . If you aren’t using the Math Editor at the top of the page, make
sure you include all the parentheses!
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.
These properties allow us to break up extremely complicated functions into a sum/difference of functions. This is actually used as an advanced technique in Calculus to deal with taking the derivative of particularly challenging functions! The last question was part of a Calculus question that I saw students struggle using their properties to simplify, so it became part of our course.