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log5(2) ∈ I. Hint: Consider using the Fundamental Theorem of Arithmetic.

  • Did you try something? and first of all don't give your questions as a command you state what you did and what you can't do. – Elaqqad Mar 04 '15 at 01:33

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Assume $\log_{5}2 = \dfrac{m}{n} \Rightarrow 2^n = 5^m$. One number is odd and the other is even, how can they be equal?

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