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South Africa Contests
South Africa National Olympiad
1996 South africa National Olympiad
2
3^x+4^x=5^x
3^x+4^x=5^x
Source: South African MO 1996 Q2
May 27, 2012
function
trigonometry
inequalities
algebra unsolved
algebra
Problem Statement
Find all real numbers for which
3
x
+
4
x
=
5
x
3^x+4^x=5^x
3
x
+
4
x
=
5
x
.
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