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Problems
Contests
National and Regional Contests
Ukraine Contests
Official Ukraine Selection Cycle
Ukraine National Mathematical Olympiad
1997 Ukraine National Mathematical Olympiad
1
which number is greater
which number is greater
Source: Ukraine 1997
July 18, 2009
logarithms
inequalities proposed
inequalities
Problem Statement
Which number is greater:
4
4
4
4
4
4^{4^{4^{4^4}}}
4
4
4
4
4
or
5
5
5
5
5^{5^{5^5}}
5
5
5
5
?
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