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Number theory divisibility question

  1. Aug 12, 2012 #1
    Let a, b and c be positive integers such that a^(b+c) = b^c x c Prove that b is a divisor of c, and that c is of the form d^b for some positive integer d.

    I'm not sure how to solve this question at all, I need some help.
     
  2. jcsd
  3. Aug 12, 2012 #2

    chiro

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    Science Advisor

    Hey Idiotinabox.

    Have you come across logarithmic congruence relations? Is there a way to use with the added constraint of c MOD b = 0?
     
  4. Aug 12, 2012 #3
    No, I have not come across them before. Could you elaborate?
     
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