Algebra 2 Unit 4 Evaluating and Rewriting Logs

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

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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

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

Rewrite 3⁴ = 81 in logarithmic form.

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

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CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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CCSS.HSF.BF.B.5

log₄1 = 

• 0
• 1
• 4
• DNE

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CCSS.HSF.BF.B.5

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

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CCSS.HSF.BF.B.5

Rewrite the following in exponential form. 

• A
• B
• C
• D

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CCSS.HSF.BF.B.5

log₃81 = 

• 2
• 3
• 4
• 5

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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

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CCSS.HSF.BF.B.5