5
JLMultiple Select

Evaluating Logarithmic Expressions

Question 5 • FL-1501300-Personal Fitness

Select all that are equal to 3.

Answer
A
log28
B
log416
C
log327
D
log101,000

Explanation

A logarithm asks what exponent is needed to produce its argument. Since 2³ = 8, log₂ 8 = 3; since 3³ = 27, log₃ 27 = 3; and since 10³ = 1,000, log₁₀ 1,000 = 3. But 4² = 16, so log₄ 16 = 2, not 3.

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