Exponentials and 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 logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

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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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Solve for x
log₈(x) = 2

• x = 256
• x = 64
• x = 16
• x = 32

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CCSS.HSF.BF.B.5

Solve for x:

• 1
• 2
• .5
• 4

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CCSS.HSF.BF.B.5

log₂(1/8) = y

• y = -3
• y = (1/3)
• y = 3
• y = 0

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CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₃27

• 3

• 2

• -3

• ¹/₃

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

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CCSS.HSF.BF.B.5