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2002 AMC 12A Question 14

AMC12 · 2002 AMC 12A

Question 14

For all positive integers $n,$ let $f(n) = \log_{2002} n^2.$ Let $$
N = f(11) + f(13) + f(14).
$$ Which of the following relations is true?
  1. $N \gt 1$
  2. $N = 1$
  3. $1 \lt N \lt 2$
  4. $N = 2$
  5. $N \gt 2$