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UPSC NDA 2 2017 Mathematics Solved Paper
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© examsnet.com
Question : 1
Total: 120
If
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
then x is equal to
[NDA II 2017]
2
,
−
3
2 only
1
3
Validate
Solution:
x
+
log
10
(
1
+
2
x
)
=
x
log
10
5
+
log
10
6
⇒
x
(
1
−
log
10
5
)
=
log
10
6
−
log
10
(
1
+
2
x
)
⇒
x
(
log
10
10
−
log
10
5
)
=
log
10
(
6
1
+
2
x
)
⇒
x
log
10
2
=
log
10
(
6
1
+
2
x
)
⇒
x
=
1
© examsnet.com
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