Solving an equation using the equality of exponents

The video tutorial explains how to solve problems involving the equality of exponents by ensuring the bases are the same. It provides an example problem, demonstrates solving it using inverse operations, and concludes with a summary of the method.

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

• It allows the exponents to be directly compared.

• It simplifies the equation.

• It eliminates the need for variables.

• It makes the equation more complex.

In the example given, what is the value of X when 2^X equals 2 squared?

• 1

• 4

• 2

• 3

What is the first step in solving the equation 2X + 3 = 5X - 9?

• Add 9 to both sides.

• Subtract 3 from both sides.

• Move all X terms to one side.

• Divide by 3.

After moving all X terms to one side, what is the resulting equation?

• 3 = 3X - 9

• X = 4

• 5X = 9

• 12 = 3X

What is the final value of X after solving the equation using inverse operations?

• 2

• 3

• 4

• 5