Solving an exponential equation with the base of four

The video tutorial explains how to solve exponential equations by using properties of logarithms. It begins with the importance of understanding logarithmic properties and demonstrates solving equations by matching bases. If bases cannot be matched, the tutorial shows how to apply logarithms to both sides of the equation to find the solution. The video emphasizes the ease of solving when bases are the same and provides a method for handling different bases using logarithms.

What is the first step to take when dealing with exponential equations?

How can you manipulate the equation 1 / 256 to find its base?

What is the significance of the one-to-one property in solving exponential equations?

Explain the process of using logarithms to solve an equation when the bases are not the same.

Describe how to rewrite an equation to have the same base for easier solving.