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Byju's Answer
Standard XI
Mathematics
Fundamental Laws of Logarithms
If N=n! n∈N, ...
Question
If
N
=
n
!
(
n
∈
N
,
n
>
2
)
then
(
(
log
2
N
)
−
1
+
(
log
3
N
)
−
1
+
.
.
.
.
.
+
(
log
n
N
)
−
1
]
is
Open in App
Solution
(
log
2
N
)
−
1
+
(
log
3
N
)
−
1
+
.
.
.
.
.
+
(
log
n
N
)
−
1
=
log
N
2
+
log
N
3
+
.
.
.
.
.
.
.
+
log
N
n
=
log
N
(
2
.
3
.
4
.
.
.
.
.
.
n
)
=
log
N
(
n
!
)
=
log
N
N
=
1
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