Unit 4B Logarithms Review

Write in exponential form:

log ₂ 32 = 5

• 2⁵ = 32

• 5² = 32

• 5³² = 2

• 2³² = 5

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Write in exponential form:
log ₃ 6561 = 8

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

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CCSS.HSF.BF.B.5

Write in logarithmic form:
9² = 81

• log ₉ 81 = 2
• log ₂ 81 = 9
• log ₉ 2 = 81
• log ₂ 9 = 81

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CCSS.HSF.BF.B.5

Evaluate log₅25

• 2
• 5
• 125

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CCSS.HSF.BF.B.5

Evaluate: log₉3

• ½
• -½
• 2
• -2

Tags

CCSS.HSF.BF.B.5

The natural logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite e^x = 9 using a logarithm

• ln x = 9

• ln 9 = x

• log_x e = 9

• log₉ x = e

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Describe domain of the function shown: y=log₂(x+1)

• (-∞,∞)

• (-1,∞)

• (-1,3)

• (∞, -1)

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CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5

Write the equation of the function f(x)=log₃x after the following transformations:

Translate 6 units left and 4 units up.

• g(x)=log₃(x+6)+4

• g(x)=log₃(x+4)-6

• g(x)=log₃(x-6)+4

• g(x)=3log(x+6)+4

Tags

CCSS.HSF.BF.B.3