Solving an exponential equation by taking the log of both sides

The video tutorial explains how to solve a mathematical problem involving exponents and logarithms. It begins by discussing the need to isolate the exponent and then demonstrates dividing both sides of the equation to achieve this. The tutorial then introduces the use of logarithms, specifically base 10, to further simplify the equation. The instructor provides clarifications on the assumptions made about base 10 and concludes with the final steps to solve the problem.

What is the first step to solve the problem involving the exponent?

Why is it necessary to isolate the exponent before applying logarithmic properties?

Explain the process of using logarithms to eliminate the base in the equation.

What does the one-to-one property of logarithms imply in this context?

How do you arrive at the final value of X in the equation?