Question 136324
"Prove that if n is an Integer and log2 is Rational, then log2 n is an Integer?" 

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If n is an integer it is rational and has form c/d.
If log2 is rational it has the form a/b where a,b are integers and b is not zero
Therefore log2 n = [logn]/[log2] = [c/d]/[a/b] = cb/ad, which is rational.
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Cheers,
Stan H.