Logarithms Review

It helps to think about logarithms as exponents. Rewriting can help you figure it out.

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Rewriting Logarithms

Multiple Choice

Write in exponential form.
log₂32 = 5

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

Multiple Choice

Rewrite 3⁴ = 81 in logarithmic form.

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

Multiple Choice

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Multiple Choice

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4
• log_-4(¹/₁₆) = 2
• log _-4 2 = ¹/₁₆
• log₂(-4) = ¹/₁₆

​"Rewrite" as an exponential to help you evaluate

Multiple Choice

log₅25 = ?

• 2
• 5
• 125

Multiple Choice

Evaluate the following logarithm:

log₁₅1

• 1

• 0

• -1

• ¹/₂

Multiple Choice

log ₂₅ 5 =

• 1/2

• 2

• 1/5

• 5

Multiple Choice

log _a a =

• 10

• 0

• 1

• -1

Multiple Choice

log ₂ 16

• 3

• 2

• 4

• 5