Solve an Exponential Equation with Different Bases

The video tutorial explains how to solve equations by ensuring the bases are the same. It covers rewriting numbers to have a common base, grouping terms, and distributing correctly. Finally, it demonstrates solving the equation to find the value of X.

Why is it important to have the same base when solving for X?

• It is not important.

• It changes the value of X.

• It makes the numbers larger.

• It simplifies the equation.

What is the first step in rewriting numbers to have a common base?

• Divide the numbers.

• Add the exponents.

• Find the largest number they have in common.

• Multiply the numbers.

How can 8 be rewritten to have a common base with 64?

• 8 to the power of 3

• 8 to the power of -1

• 8 to the power of 0

• 8 to the power of 2

What should you do after grouping terms in an equation?

• Add them together.

• Multiply by both terms inside the parentheses.

• Ignore them.

• Subtract them.

What is the final value of X in the given example?

• -1

• 0

• 1

• 2