M4U4 Assessment

Write in logarithmic form:
4⁵ = 1024

• log ₄ 1024 = 5
• log ₅ 1024 = 4
• log ₄ 5 = 1024
• log ₅ 4 = 1024

Tags

CCSS.HSF.BF.B.5

Write in logarithmic form:
2^-1 = 0.5

• log ₂ 0.5 = -1
• log _-1 0.5 = 2
• log ₂ -1 = 0.5
• log _-1 2 = 0.5

Tags

CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

Write in exponential form:
log ₃ 6561 = 8

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

Tags

CCSS.HSF.BF.B.5

Write in exponential form:
log ₃₆ 1 = 0

• 36⁰ = 1
• 36¹ = 0
• 1³⁶ = 0
• 1⁰ = 36

Tags

CCSS.HSF.BF.B.5

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

Tags

CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₆(¹/₂₁₆)

• 3
• ¹/₃
• -¹/₃
• -3

Tags

CCSS.HSF.BF.B.5

Evaluate: log₉3

• ½
• -½
• 2
• -2

Tags

CCSS.HSF.BF.B.5

Expand the following:  $\log_7\left(4x\right)$  

•  $\log_7\left(4\right)+\log_7\left(x\right)$  

•  $\log_7\left(4\right)-\log_7\left(x\right)$  

•  $\log_7\left(x^4\right)$  

•  $4\log_7\left(x\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8