G10AP QZ.4 Logarithms and Logarithmic Functions

Rewrite 3⁴ = 81 in logarithmic form.

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

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Evaluate: log₆ (¹/₂₁₆) = x

• 3

• ¹/₃

• -¹/₃

• -3

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Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=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

log₄1 = 

• 0
• 1
• 4
• DNE

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Solve for x.
log₅ 1 = x

• 0
• -1
• 2
• 1

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Rewrite log_pt = m in exponential form.

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

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Write in exponential form.
log₂32 = 5

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

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Write log₂ 0.25 = -2 in exponential form

• -2²  = 0.25
• -2^0.25  = 2
• 2^-2  = 0.25
• No correct answer

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Evaluate: log₉3

• ½
• -½
• 2
• -2

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