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Solve in integer numbers 
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#1
Dec1610, 01:09 PM

P: 10

How to solve that eqation?
3^x=4y+5 


#2
Dec1610, 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?



#3
Dec1610, 03:07 PM

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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".



#4
Dec1910, 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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