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Soros Olympiad in Mathematics
IV Soros Olympiad 1997 - 98 (Russia)
11.5
log_{2n-2} (n^2 + 2) is rational (IV Soros Olympiad 1997-98 R2 11.5)
log_{2n-2} (n^2 + 2) is rational (IV Soros Olympiad 1997-98 R2 11.5)
Source:
June 1, 2024
number theory
logarithms
Problem Statement
Find all integers
n
n
n
for which
log
2
n
−
2
(
n
2
+
2
)
\log_{2n-2} (n^2 + 2)
lo
g
2
n
−
2
(
n
2
+
2
)
is a rational number.
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