Solving an equation using the one to one property of exponents 5^(x+1) = 125^x

The video tutorial explains how to solve an exponential equation by converting 125 to base 5, using the equality property to equate exponents, and simplifying the equation to find the solution. The process involves rewriting the equation with the same base, applying exponent rules, and solving for the variable.

What is the initial equation presented by the teacher?

• 5^(X + 1) = 25^X

• 5^X = 125^(X + 1)

• 5^(X + 1) = 125^X

• 5^(X + 1) = 125^(X + 1)

What property is used to solve the equation by equating the bases?

• Associative Property

• One-to-One Property

• Distributive Property

• Commutative Property

How is 125 rewritten as a power of 5?

• 5^4

• 5^3

• 5^5

• 5^2

What is the next step after rewriting 125 as 5^3?

• Multiply the exponents

• Divide the exponents

• Add the exponents

• Subtract the exponents

What is the final value of X in the equation?

• 1

• 1/2

• 2

• 3