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2013 AIME I Problems/Problem 8

Revision as of 19:53, 15 March 2013 by 3628800J (talk | contribs) (Created page with "== Problem 8 == The domain of the function f(x) = arcsin(log<math>_{m}</math>(''nx'')) is a closed interval of length <math>\frac{1}{2013}</math> , where ''m'' and ''n'' are posi...")
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Problem 8

The domain of the function f(x) = arcsin(log$_{m}$(nx)) is a closed interval of length $\frac{1}{2013}$ , where m and n are positive integers and m > 1. Find the remainder when the smallest possible sum m + n is divided by 1000.


Solution

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