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Swedish Mathematical Competition
2006 Swedish Mathematical Competition
6
6
Part of
2006 Swedish Mathematical Competition
Problems
(1)
Equation with Exponents
Source: 2006 Swedish Mathematical Competition #6
1/5/2018
Determine all positive integers
a
,
b
,
c
a,b,c
a
,
b
,
c
satisfying
a
(
b
c
)
=
(
b
a
)
c
a^{(b^c)}=(b^a)^c
a
(
b
c
)
=
(
b
a
)
c
algebra
Exponents
Sweden