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Czech and Slovak Olympiad III A
1954 Czech and Slovak Olympiad III A
3
Logarithm of $pi$
Logarithm of $pi$
Source: Czech and Slovak Olympiad 1954, National Round, Problem 3
February 18, 2022
logarithm
inequalities
logarithms
Problem Statement
Show that
log
2
π
+
log
4
π
<
5
2
.
\log_2\pi+\log_4\pi<\frac52.
lo
g
2
π
+
lo
g
4
π
<
2
5
.
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