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AMC 12 2002a Problem 14

  • Paper

For all positive integers nn, let f(n)=log⁡2002n2f(n)=\log_{2002} n^2. Let N=f(11)+f(13)+f(14)N=f(11)+f(13)+f(14). Which of the following relations is true?

(A) N<1(B) N=1(C) 1<N<2(D) N=2(E) N>2\text{(A) }N<1 \text{(B) }N=1 \text{(C) }1<N<2 \text{(D) }N=2 \text{(E) }N>2

Dataset text AMC 12 2000 to 2025. Quoted with source.

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D

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