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2003 AMC 12A Question 24

AMC12 · 2003 AMC 12A

Question 24

If $a \ge b \gt 1,$ what is the largest possible value of $\log_a(\frac{a}{b}) + \log_b(\frac{b}{a})?$
  1. $-2$
  2. $0$
  3. $2$
  4. $3$
  5. $4$