How to use the product rule of logarithms to solve an equation, log6 (x) +log6 (x-9)=2

The video tutorial explains how to solve logarithmic equations, focusing on combining logarithms with the same base and converting them into exponential form. It demonstrates the process of solving an equation with two logarithms, using properties of logarithms to combine them, and then applying the zero product property to find solutions. The tutorial emphasizes common misconceptions and provides step-by-step guidance to ensure understanding.

What is the equation presented in the text involving logarithms?

Explain the misconception students have regarding the cancellation of logarithms.

How can you combine two logarithms with the same base according to the properties discussed?

What steps are taken to rewrite the logarithmic equation in exponential form?

What are the two solutions for X derived from the equation?