10-3 Solving Exponentials with Same Base

Given the following log equation, what would be the equivalent exponential equation?

log₂(8) = 3

• 8² = 3

• 3² = 8

• 2³ = 8

• 8³ = 2

Given the following exponential equation, which would be the correct setup after getting the same bases?

8^2x+3 = 4^5x-1

• 6x + 9 = 10x - 1

• 6x + 3 = 10x - 1

• 6x + 9 = 10x - 2

• 6x + 3 = 10x - 2

^{Evaluate the following log expression}

^log₂(1/32)

• 5

• -5

• 1/5

• Not Possible

If 3^x = 9^y, which of the following statements is TRUE?

• 27 = xy

• 3x = 9y

• x = 2y

• 2x = y

If 2^x+8 = 2^3x-4, which of the following statements is TRUE?

• x = 6

• x = 2

• x = -6

• x = 3

Solve the following equation by getting the same bases.

27^4x+6 = 9^3x-2

• x = -10/3

• x = -4/3

• x = -11/3

• x = -13/6

Evaluate the following log expression

log₃(-9)

• 2

• -2

• -1/2

• Not Possible

Solve the following equation by getting the same bases:

16^3x-4 = 1/2

• x = 1/4

• x = 5/4

• x = -7/12

• x = 17/12

Solve the following equation by getting the same bases:

8^4x-3 = √8

• x = 7/5

• x = 6/7

• x = 7/8

• x = 5/8

^{Evaluate the following log expression}

^log₃(27)

• -3

• 3

• 2

• 1/3