4.2 - Converting & Evaluating Logarithms

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

The following:
log ₂ 16 = 4 can be written as...

• 2¹⁶=4
• 4²=16
• 4+4+4+4=16
• 2⁴=16

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CCSS.HSF.BF.B.5

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12
• log ₁₂ 144 = 2
• log ₁₂ 2 = 144
• log ₂ 12 = 144

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CCSS.HSF.BF.B.5

True or False: log₈64=2

• True
• False

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CCSS.HSF.BF.B.5

Change to Exponential Form:
log₂₈₉ 17 = 1/2

• 289^1/2 = 17
• 17^1/2 = 289
• 289¹⁷ = 1/2
• 1/2¹⁷ = 289

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CCSS.HSF.BF.B.5

Rewrite in exponential form. log₇(1/49)=-2

• -2⁷=1/49
• 7²=1/49
• 7^-2=1/49
• 7^1/49=-2

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CCSS.HSF.BF.B.5

Rewrite in logarithmic form. 7⁰=1

• log₀7=1
• log₇0=1
• log₇1=0
• log₁7=0

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CCSS.HSF.BF.B.5

Evaluate.
log₆(¹/36)

• 2
• ¹/2
• -¹/2
• -2

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CCSS.HSF.BF.B.5

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

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CCSS.HSF.BF.B.5

Evaluate: 

  $\log_93\ =$  

• 1/2

• 2

• 1/3

• 3

Tags

CCSS.HSF.BF.B.5