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Soros Olympiad in Mathematics
III Soros Olympiad 1996 - 97 (Russia)
11.1
x2^(1/x)+1/x 2^x=4 (III Soros Olympiad 1996-97 R3 11.1)
x2^(1/x)+1/x 2^x=4 (III Soros Olympiad 1996-97 R3 11.1)
Source:
May 31, 2024
algebra
Problem Statement
Solve the equation:
x
⋅
2
1
x
+
1
x
⋅
2
x
=
4
x \cdot 2^{\dfrac{1}{x}}+\dfrac{1}{x} \cdot 2^x=4
x
⋅
2
x
1
+
x
1
⋅
2
x
=
4
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