Using one to one property to solve an exponential equation

The video tutorial explains the one-to-one property of exponents, which states that if two exponents have the same base, their powers are equal. An example problem is presented, demonstrating how to solve an equation using this property. The tutorial emphasizes the importance of understanding the process rather than guessing the solution.

What does the one-to-one property state about exponents with the same base?

• Their bases must be different.

• Their powers must be equal.

• Their coefficients must be equal.

• Their exponents must be zero.

In the example given, what equation is formed using the one-to-one property?

• X + 3 = 2X - 7

• X - 3 = 2X + 7

• 2X - 3 = X + 7

• 2X + 3 = X - 7

What is the first step in solving the equation 2X - 3 = X + 7?

• Multiply both sides by 2.

• Divide both sides by X.

• Subtract X from both sides.

• Add 3 to both sides.

After isolating the variable, what is the value of X in the equation X - 3 = 7?

• X = 3

• X = 4

• X = 7

• X = 10

What is emphasized as the most important aspect of solving the equation?

• Using the process to identify the solution.

• Ignoring the process.

• Memorizing the equation.

• Guessing the correct number.