Exponential Equations and Solutions

The video tutorial covers solving exponential equations using a common base. It explains the steps involved, including rewriting equations, using properties of exponents, and applying the one-to-one property. The tutorial provides several example problems, demonstrating both common and different base scenarios, and offers solutions to enhance understanding.

What is the first step in solving an exponential equation using a common base?

• Use the one-to-one property

• Rewrite the equation using a common base

• Simplify both sides of the equation

• Solve for the variable

If B^X = B^Y, what can be concluded about X and Y?

• X and Y are unrelated

• X is greater than Y

• X is less than Y

• X equals Y

In the example where 2x - 9 = 7, what is the value of x?

• x = 7

• x = 10

• x = 8

• x = 9

How can 81 be rewritten to have a base of 9?

• 9^3

• 9^4

• 9^2

• 9^1

What is the solution for the equation 4y - 26 = 2?

• y = 8

• y = 9

• y = 7

• y = 6

When rewriting 1/64 as a base of 4, what is the exponent?

• -4

• -3

• -2

• -1

What is the value of M in the equation M - 9 = 5M + 15?

• M = -4

• M = -6

• M = -3

• M = -5

How can 128 be rewritten to have a base of 2?

• 2^5

• 2^6

• 2^7

• 2^8

What is the solution for the equation 3a + 6 = -1?

• a = -7/3

• a = -4/3

• a = -6/3

• a = -5/3

What is the solution for y in the equation 3y^2 = -6y - 5y^2?

• y = 0 and y = -3/4

• y = 0 and y = -3/5

• y = 0 and y = -3/2

• y = 0 and y = -3/3