Math 4 Unit 3 Review - Logarithmic Functions

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₃ 6561 = 8

• 3⁸ = 6561
• 8³ = 6561
• 3⁶⁵⁶¹ = 8
• 8⁶⁵⁶¹ = 3

Tags

CCSS.HSF.BF.B.5

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

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

Solve: 2^x = 4^x+1

• x = -2
• x = 2
• x = -3
• x = 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

Solve 3³ = 3^{4x + 2}

• x = ¼
• x = -¼
• x = ½
• x = -½

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve log(x) + log(x+3) = 1

• 5
• -2
• -5
• 2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

log₄(3x-1)=log₄(2x+3)

• 4

• 3

• 1

• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

log₂(x² - 6) = log₂(2x+2)

• 4, -2

• No Solution

• 4

• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

CCSS.HSA.REI.B.4