Condensing logarithmic expressions

The video tutorial explains how to condense multiple logarithms into a single expression. It begins by discussing the necessity of having a single logarithm before applying certain rules. The instructor demonstrates the process by first bringing terms together, then using properties of logarithms to combine them into a single expression. The final step involves simplifying the expression using the distributive property, resulting in a condensed logarithm. The tutorial concludes with a summary of the steps taken to achieve the final expression.

What rule is mentioned that only works when there are two times a logarithm?

Describe the importance of having a single logarithm in the context of the text.