MathDB
Maximizing Logs

Source:

February 20, 2008
logarithmstrigonometry

Problem Statement

If a≥b>1 a\ge b>1, what is the largest possible value of \log_a(a/b)\plus{}\log_b(b/a)? (A)\ \minus{}2 \qquad (B)\ 0 \qquad (C)\ 2 \qquad (D)\ 3 \qquad (E)\ 4
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