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2015 SDMO (High School)
4
Power to the three-variable Diophantine
Power to the three-variable Diophantine
Source: 2015 SDMO High School Problem 4
August 24, 2016
Problem Statement
Find all triples
(
x
,
y
,
z
)
\left(x,y,z\right)
(
x
,
y
,
z
)
of nonnegative integers such that
5
x
7
y
+
4
=
3
z
.
5^x7^y+4=3^z.
5
x
7
y
+
4
=
3
z
.
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