olymmath

HMMT 2007 E6

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The positive integer nn is such that the numbers 2n2^{n} and 5n5^{n} start with the same digit when written in decimal notation; determine this common leading digit.

Dataset text NuminaMath olympiads. Quoted with source.

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Locator hmmt/2007/e6 · Tag EDDPKYW5QN · Edit this page on GitHub · Keys: j next, k previous