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Vojtěch Jarník IMC
2018 VJIMC
1
Equation with powers over the real numbers
Equation with powers over the real numbers
Source: VJIMC 2018, Category II, Problem 1
April 14, 2018
equations
real numbers
powers
Problem Statement
Find all real solutions of the equation
1
7
x
+
2
x
=
1
1
x
+
2
3
x
.
17^x+2^x=11^x+2^{3x}.
1
7
x
+
2
x
=
1
1
x
+
2
3
x
.
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