Intro to Logarithms

Write in exponential form.

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

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Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

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Change to Logarithmic Form:

12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

What is the base for this problem?

log1=0

• 1

• 0

• not enough information

• 10

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CCSS.HSF.BF.B.5

Write the following equation in logarithmic form:
3⁵ = 243

• log₃5 = 243
• log₂₄₃3 = 5
• log₅243 = 3
• log₃243 = 5 

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CCSS.HSF.BF.B.5

The common logarithm has what base?

• 10
• 0
• e
• -e

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CCSS.HSF.BF.B.5

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

Rewrite log₃t = 5 in exponential form.

• 5^t=3
• log₃5 = log₃t
• t⁵=3
• 3⁵=t

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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