45 Guided Practice: Rewriting and Evaluating Logarithms

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

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CCSS.HSF.BF.B.5

Write in exponential form.
log₂32 = 5

• 2^-5 = 32
• 2³² = 5
• 2⁵ = 32
• 32⁵ = 2

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CCSS.HSF.BF.B.5

Evaluate log₄1

• 1
• 0
• 4
• undefined

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

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CCSS.HSF.BF.B.5

Solve for x:
log₄ x = 3

• 4
• 12
• 32
• 64

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CCSS.HSF.BF.B.5

Solve for x.
3^x = 27

• 2
• 4
• 3
• 5

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CCSS.HSF.LE.A.4

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

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CCSS.HSF.BF.B.5

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

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CCSS.HSF.BF.B.5

log 1000 =

• 1/10

• 10

• 1/3

• 3

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CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Evaluate the log:
log₃(1/9) = 

• 1/2
• 2
• -2
• 3

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4