Solving an equation when they have the same base as an exponent

The video tutorial explains solving an equation by understanding the properties of equality. It emphasizes that when bases are equal, their exponents must also be equal. The instructor demonstrates rewriting an equation and solving for the variable X, providing a step-by-step guide to ensure understanding of the process.

What is the key principle when the bases of two expressions are equal?

• The bases must be different.

• The expressions must be identical.

• The exponents must be equal.

• The coefficients must be equal.

In the equation 5/2 to the X = 2 squared, what is the value of X?

• 1

• 2

• 3

• 4

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

• Add 9 to both sides.

• Divide both sides by 5.

• Subtract 2X from both sides.

• Multiply both sides by 2.

After subtracting 2X from both sides, what should be done next?

• Add 3 to both sides.

• Multiply both sides by 3.

• Subtract 9 from both sides.

• Add 9 to both sides.

Why is it important to perform the same operation on both sides of an equation?

• To change the solution.

• To make the equation more complex.

• To keep the equation balanced.

• To eliminate variables.