Evaluate the expression: log₂ 3 · log₃ 4 · log₄ 5 · log₅ 8.

Model Answer & Options

Source: Extra Practice

2

3

4

5

Explanation

Using the change of base formula log_a b = (log b / log a), the expression becomes: (log 3 / log 2) * (log 4 / log 3) * (log 5 / log 4) * (log 8 / log 5). Most terms cancel out, leaving (log 8 / log 2). This simplifies to log₂ 8. Since 8 = 2³, log₂ 2³ = 3. Thus, option B is correct.

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