Solving Exponential equations

The video tutorial explains the one-to-one properties of exponents, which state that if two expressions with the same base are equal, their exponents must also be equal. The instructor provides examples using different bases to illustrate this concept. Finally, the video demonstrates how to apply these properties to solve equations by equating the exponents and isolating variables.

What do the one-to-one properties state regarding bases raised to powers?

If 2^2 = 2^X, what is the value of X?

How would you set up an equation if you have 10^2 = 10^X?

Explain how to apply the one-to-one properties to solve equations with the same base.

What happens to the powers when the bases are the same in an equation?