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Solve in integer numbers

  1. Dec 16, 2010 #1
    How to solve that eqation?
    3^x=4y+5
     
  2. jcsd
  3. Dec 16, 2010 #2
    Express one variable in terms of the other (see which makes most sense). What are the conditions for having integer solutions?
     
  4. Dec 16, 2010 #3

    HallsofIvy

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    That is the same as saying that [itex]3^x= 1[/itex] (mod 4). Check out "Fermat's Little Theorem".
     
  5. Dec 19, 2010 #4
    Ok, but how can I show that this eqation can be saying like that you wrote? If I place for 3^x=1(mod 4) to top equation and from Fermat's little theorem I have x=3 than I have equation with one variable? That you thought about?
     
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