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2011 Kosovo National Mathematical Olympiad
3
KMO #3 (Grade 10) [inequality with logarithms]
KMO #3 (Grade 10) [inequality with logarithms]
Source:
March 13, 2011
inequalities
logarithms
inequalities proposed
Problem Statement
Prove that the following inequality holds:
(
log
24
48
)
2
+
(
log
12
54
)
2
>
4
\left( \log_{24}48 \right)^2+ \left( \log_{12}54 \right)^2>4
(
lo
g
24
48
)
2
+
(
lo
g
12
54
)
2
>
4
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