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Math Help - E subset N

  1. #1
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    E subset N

    Let E \subsetN a infinite subset. Show that exist a \inR such that {floor(a^k); k \inN} \capE, contains infinites integers.

    I try this:
    floor(a^k) =n \inE \Longleftrightarrowk log a \in(log n, log n+1) and ?????nothing
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  2. #2
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    Nested intervals????
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