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Indian Mathematical Olympiad 1987 - Problem 1

Source:

August 13, 2009
logarithmsnumber theoryrelatively primealgebra proposedalgebra

Problem Statement

Given m m and n n as relatively prime positive integers greater than one, show that log⁡10mlog⁡10n \frac{\log_{10} m}{\log_{10} n} is not a rational number.
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