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1
IMO LongList 1967, Sweden 1
IMO LongList 1967, Sweden 1
Source: IMO LongList 1967, Sweden 1
December 16, 2004
algebra
equation
roots
IMO Shortlist
IMO Longlist
Exponential equation
Problem Statement
Determine all positive roots of the equation
x
x
=
1
2
.
x^x = \frac{1}{\sqrt{2}}.
x
x
=
2
ā
1
ā
.
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