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Soros Olympiad in Mathematics
V Soros Olympiad 1998 - 99 (Russia)
11.6
x^x=\frac{1}{\sqrt2}(V Soros Olympiad 1998-99 Round 3 11.6)
x^x=\frac{1}{\sqrt2}(V Soros Olympiad 1998-99 Round 3 11.6)
Source:
May 26, 2024
algebra
Problem Statement
Solve the equation (for positive
x
x
x
)
x
x
=
1
2
x^x=\frac{1}{\sqrt2}
x
x
=
2
1
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