Solving Exponential Equations with Exponent Properties

What is the base of the first exponential equation discussed in the video?

• 26

• 9

• 1

• 5

What is the value of any number raised to the 0th power?

• The number itself

• Undefined

• 1

• 0

What equation do we get when we set the exponent of 26 to the 0th power?

• x = -5

• 9x + 5 = 1

• 9x + 5 = 0

• 9x = 5

What is the value of x in the equation 26^(9x + 5) = 1?

• -5/9

• 5/9

• 5

• -5

What is the base of the second exponential equation discussed in the video?

• 64

• 5

• 2

• 3

What is the exponent of 2 in the second equation before simplification?

• 3x - 7

• 6x - 42

• x - 7

• 3x + 5

What power of 2 equals 64?

• 2^6

• 2^3

• 2^5

• 2^4

What equation do we get when we set the exponents of the same base equal in the second example?

• x + 5 = 6x - 42

• 3x = 6x - 42

• 3x + 5 = 6x - 42

• 3x + 5 = x - 7

What is the value of x in the equation 2^(3x + 5) = 2^(6x - 42)?

• 42/6

• 42/3

• 47/3

• 47/6

What is the final step to solve for x in the equation 3x + 5 = 6x - 42?

• Add 42 to both sides

• Subtract 3x from both sides

• Divide both sides by 3

• Subtract 5 from both sides