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Problem
Problem
Prove that
log
n
(
n
+
1
)
>
log
(
n
+
1
)
(
n
+
2
)
\log_n(n+1) > \log_{(n+1)}(n+2)
lo
g
n
(
n
+
1
)
>
lo
g
(
n
+
1
)
(
n
+
2
)
for any natural number
n
>
1
n > 1
n
>
1
.
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