This lesson explains the often-confusing product property of logarithms that allows you to take a single logarithm and split it up as the sum of logs. It also allows you to combine logarithms that are added with the same base into a single logarithm. This technique can be very useful, but often it is confusing to students. This is a must-see if you are learning about logarithms. Additionally, if you have ever been interested in the proof of why the product property of logs works, the explanation of this proof is excellent in this lesson.