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Serbia National Math Olympiad
2015 Serbia National Math Olympiad
6
Serbian TST 2015
Serbian TST 2015
Source:
May 25, 2015
number theory
number theory proposed
exponential equations
congruence
Serbia
Problem Statement
In nonnegative set of integers solve the equation:
(
2
2015
+
1
)
x
+
2
2015
=
2
y
+
1
(2^{2015}+1)^x + 2^{2015}=2^y+1
(
2
2015
+
1
)
x
+
2
2015
=
2
y
+
1
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