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Solve in integer numbers

by oszust001
Tags: integer, numbers, solve
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oszust001
#1
Dec16-10, 01:09 PM
P: 10
How to solve that eqation?
3^x=4y+5
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SEngstrom
#2
Dec16-10, 01:24 PM
P: 52
Express one variable in terms of the other (see which makes most sense). What are the conditions for having integer solutions?
HallsofIvy
#3
Dec16-10, 03:07 PM
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Thanks
PF Gold
P: 39,563
That is the same as saying that [itex]3^x= 1[/itex] (mod 4). Check out "Fermat's Little Theorem".

oszust001
#4
Dec19-10, 05:55 AM
P: 10
Solve in integer numbers

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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