Solving Exponential equations

The video tutorial explains how to solve equations using one-to-one properties. It begins by discussing the need to rewrite numbers with the same base to simplify the equation. The tutorial then covers the application of the distributive property of exponents and demonstrates solving the equation by equating exponents. The process involves manipulating variables to isolate and solve for the unknown variable, resulting in a solution of x = 7/12.

What is the base used to rewrite both 8 and 32 in the equation?

• Base 2

• Base 5

• Base 3

• Base 4

Which property is applied when an exponent is raised to another power?

• Identity Property

• Distributive Property

• Associative Property

• Commutative Property

What is the result of equating the exponents in the equation 2^(3x-3) = 2^(15x-10)?

• 3x + 3 = 15x + 10

• 3x - 3 = 15x - 10

• 3x + 3 = 15x - 10

• 3x - 3 = 15x + 10

What is the first step in solving the equation 3x - 3 = 15x - 10?

• Multiply both sides by 3

• Subtract 3x from both sides

• Divide both sides by 3

• Add 3x to both sides

What is the final value of x in the equation?

• 7/10

• 5/12

• 1/2

• 7/12