Using the equality of logarithms to solve an equation

The video tutorial explains how to apply properties of logarithms, specifically focusing on the power rule. It demonstrates how to rewrite a logarithmic expression by using the power rule and solve logarithmic equations by equating them when they have the same base. The tutorial concludes with solving for a variable by taking the cube root and addresses any questions.

What is the result of taking the cube root of both sides in the equation derived from logarithmic properties?

Describe the steps taken to arrive at the solution X = 3 in the context of logarithms.