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2021 April MIMC 10 Problems/Problem 7

Revision as of 22:01, 20 April 2021 by Cellsecret (talk | contribs) (Created page with "Find the least integer <math>k</math> such that <math>838_k=238_k+1536</math> where <math>a_k</math> denotes <math>a</math> in base-<math>k</math>. <math>\textbf{(A)} ~12 \qq...")
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Find the least integer $k$ such that $838_k=238_k+1536$ where $a_k$ denotes $a$ in base-$k$.

$\textbf{(A)} ~12 \qquad\textbf{(B)} ~13 \qquad\textbf{(C)} ~14 \qquad\textbf{(D)} ~15 \qquad\textbf{(E)} ~16$

Solution

To be Released on April 26th.

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