6.5 Exponential and Logarithmic Equations

Solve for x using the same base method.
(-3)^x = (-3)¹³

• 13
• -3
• x + 13
• x -13

Sovle for x:

5^{(-3x - 1)} = 25

• x = -1

• x = -4

• x = -3

• x = 1

Tags

CCSS.7.EE.B.4A

Solve for x using the same base method.

3^(x-20) = 27

• 17

• 27

• -7

• 23

Solve: 2^x = 4^x+1

• -2
• 2
• -3
• 3

Solve for a:

5^{(a + 2)} = 1/125

• -1

• -6/7

• -5

• 4

Tags

CCSS.7.EE.B.4A

Write the equation in exponential form.

log₂(x - 4) = 6

• x - 4 = 6²

• 6₂ = x - 4

• 2^(x-4) = 6

• 2⁶ = x - 4

Tags

CCSS.HSF.BF.B.5

Solve: log ₄ 5 − log ₄ (x + 3) = -2

• x = 77

• x = -31/5

• x = -43/16

• x = 55

log (7x + 2) − log 3 = 1

• x = 11/7

• x = -5/21

• x = 0

• x = 4

What is the next step to solve the equation?

log₃(4x + 8) - 7 = -3

• Add 7 to both sides.

• 3^-3 = 4x + 8

• 4x + 8 = 10

• 4x + 1 = -3

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1