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Canadian Mathematical Olympiad Qualification Repechage
2013 Canadian Mathematical Olympiad Qualification Repechage
1
Find all real solutions
Find all real solutions
Source: Canadian Repêchage 2013: Problem 1
May 20, 2014
algebra proposed
algebra
Problem Statement
Determine all real solutions to the following equation:
2
(
2
x
)
−
3
⋅
2
(
2
x
−
1
+
1
)
+
8
=
0.
2^{(2^x)}-3\cdot2^{(2^{x-1}+1)}+8=0.
2
(
2
x
)
−
3
⋅
2
(
2
x
−
1
+
1
)
+
8
=
0.
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