Exponentials Same Base

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

• 6x + 9 = 10x - 1

• 6x + 3 = 10x - 1

• 6x + 9 = 10x - 2

• 6x + 3 = 10x - 2

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

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

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

log₂(8) = 3

• 8² = 3

• 3² = 8

• 2³ = 8

• 8³ = 2

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

• 27 = xy

• 3x = 9y

• x = 2y

• 2x = y

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561

• 8³ = 6561

• 3⁶⁵⁶¹ = 8

• 8⁶⁵⁶¹ = 3