How to condense a log expression with parenthesis

The video tutorial explains how to condense multiple logarithms into a single logarithm by following the order of operations. It begins with rewriting numbers in front of logarithms as powers, then combines logarithms using addition and product rules. The tutorial further condenses the expression by moving numbers as powers and finalizes the expression using the quotient rule. The process is demonstrated step-by-step to ensure clarity.

What is the final expression after condensing the logarithms in the example?

Describe the product and quotient rules as they relate to logarithms.