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Question
Mathematics
If the 6th term in the expansion of ((1/x8/3)+x2 log 10 x)8 is 5600, then x equals
Q. If the
6
t
h
term in the expansion of
(
x
8/3
1
+
x
2
l
o
g
10
x
)
8
is
5600
, then
x
equals
1654
214
Binomial Theorem
Report Error
A
1
B
l
o
g
e
10
C
10
D
x
does not exist
Solution:
It is given that
6
t
h
term in the expansion of
(
x
8/3
1
+
x
2
l
o
g
10
x
)
8
is
5600
;
therefore,
8
C
5
(
x
2
l
o
g
10
x
)
5
(
x
8/3
1
)
3
=
5600
or
56
x
10
(
l
o
g
10
x
)
5
x
8
1
=
5600
or
x
2
(
l
o
g
10
x
)
5
=
100
or
x
2
(
l
o
g
10
x
)
5
=
1
0
2
(
l
o
g
10
10
)
5
or
x
=
10