Condensing logarithmic expressions

The video tutorial explains how to simplify a complex logarithmic expression using various logarithmic rules. It begins with an introduction to the problem, followed by applying the product and power rules. The instructor then demonstrates how to rewrite the expression using logarithmic properties, leading to the final simplification into a single logarithm. The tutorial concludes with the final expression and a brief summary of the process.

What is the significance of rewriting 1/3 as a rational exponent?

How is the final answer expressed in terms of logarithms?