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National and Regional Contests
PEN Problems
PEN H Problems
59
59
Part of
PEN H Problems
Problems
(1)
H 59
Source:
5/25/2007
Solve the equation
2
8
x
=
1
9
y
+
8
7
z
28^x =19^y +87^z
2
8
x
=
1
9
y
+
8
7
z
, where
x
,
y
,
z
x, y, z
x
,
y
,
z
are integers.
modular arithmetic
Diophantine Equations