Solve an exponential equation using one to one property and isolating the exponent

The video tutorial explains how to solve an equation using the one-to-one property by isolating the exponent. It demonstrates simplifying fractions, using negative powers to handle fractions, and rewriting different bases to a common base. The tutorial concludes by solving the equation for X through multiplication and division, emphasizing the importance of understanding exponent rules and base conversion.

What is the first step in using the one-to-one property for solving equations?

• Subtract the exponent from both sides

• Isolate the exponent

• Multiply both sides by the base

• Add the same number to both sides

How can you rewrite the bases 4 and 8 to have the same base?

• 4 as 3^2 and 8 as 3^3

• 4 as 3^3 and 8 as 3^2

• 4 as 2^3 and 8 as 2^2

• 4 as 2^2 and 8 as 2^3

What is the power rule when an exponent is raised to another power?

• Add the exponents

• Subtract the exponents

• Multiply the exponents

• Divide the exponents

What is the result of multiplying 2/3 by X in the equation?

• -2/3 X

• -3 X

• 2/3 X

• 3 X

What is the final value of X in the equation?

• -2/9

• 2/9

• -9/2

• 9/2