Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

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


    User Avatar
    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?
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook