7.3 Logarithms

Write in exponential form.
log₂32 = 5

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

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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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Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

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What do cows drink?

• Milk
• Apple Juice
• Soda
• Water

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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Write in exponential form:
log ₃₆ 1 = 0

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

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log ₃ 9 =

• 1/2

• 2

• 1/3

• 3

log ₂ 16

• 3

• 2

• 4

• 5

Write in logarithmic form.

5² = 25

• log₅2 = 25

• log₂25 = 5

• log₂₅5 = 2

• log₅25 = 2

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Write in logarithmic form:
 $2^{-4}=\frac{1}{16}$  

•  $\log_2\left(\frac{1}{16}\right)=-4$ 

•  $\log_{-4}\left(\frac{1}{16}\right)=2$  

•  $\log_{-4}2=\frac{1}{16}$  

•  $\log_2\left(-4\right)=\frac{1}{16}$  

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