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Lê Quốc Trần Anh Coordinator

08/06/2018 at 02:41
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Find the minimum value of \(36^m-5^n\) with \(m,n\in Z\)+




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    Dao Trong Luan Coordinator 08/06/2018 at 04:41

    We have: \(36,5,m,n\in Z^+\)

    \(\Rightarrow36^m,5^n\in Z^+\)

    \(\Rightarrow36^m\ge36^1=36;5^n\ge5^1=5\)

    \(\Rightarrow36^m-5^n\ge36-5=31\)

    \(\Rightarrow\left(36^m-5^n\right)_{Min}=31\Leftrightarrow m=n=1\)

    Lê Quốc Trần Anh selected this answer.
  • ...
    Lê Quốc Trần Anh Coordinator 08/06/2018 at 07:11

    Sorry Dao Trong Luan for the wrong title. Can you do it again?

    \(\left|36^m-5^n\right|\).

    If it's the last title, we have m = 1 and n big [unsolved]


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