How to use the same base to solve an equation with exponents

The video tutorial explains how to solve equations involving exponents with different bases. It begins by discussing the importance of having the same base for exponents and demonstrates how to rewrite bases to achieve this. The tutorial then applies the power of power rule to simplify the equation and uses the distributive property to solve for the variable. The process is explained step-by-step, ensuring a clear understanding of each concept.

Why is it important to have the same base when solving exponential equations?

• To change the base to a higher number

• To make the equation more complex

• To ensure the exponents can be equated

• To simplify the equation

How can the number 25 be rewritten as a power of 5?

• 5^4

• 5^1

• 5^2

• 5^3

What is the power of 5 that equals 125?

• 5^1

• 5^4

• 5^2

• 5^3

What rule is applied when an exponent is raised to another exponent?

• Subtraction Rule

• Addition Rule

• Power of a Power Rule

• Division Rule

What is the final value of X in the equation after solving?

• X = 16

• X = 14

• X = 12

• X = 18