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, 2007

Algebra Difficulty 3.0 AMC 10/12 Find the answer Canada

What is the largest integer $n$ for which $3(n^{2007}) < 3^{4015}$ ?

(A) $2$ (B) $3$ (C) $6$ (D) $8$ (E) $9$

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Source: CEMC, University of Waterloo, licensed CC-BY-NC-4.0. Statement reproduced verbatim; metadata (topic, difficulty) added by this project. Solutions are the publisher's, linked not copied.