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, 2010

Algebra Difficulty 2.0 Junior Find the answer Canada

What is the largest positive integer $n$ that satisfies $n^{200} < 3^{500}$ ?

(A) $13$ (B) $14$ (C) $15$ (D) $16$ (E) $17$

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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.