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UPSC CDS Math Logarithm Questions
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© examsnet.com
Question : 13
Total: 16
What is the solution of
log
10
[
1
−
{1-(1-
x
2
)
−
1
}
−
1
]
−
1
2
=
1
?
[2016 CDS-II]
x
=
100
x
=
10
x
=
1
x
=
0
Validate
Solution:
log
10
[
1
−
{
1
−
(
1
−
x
2
)
−
1
}
−
1
]
1
2
=
1
⇒
[
1
−
{
1
−
1
1
−
x
2
}
−
1
]
1
2
=
10
⇒
[
1
−
(
−
x
2
1
−
x
2
)
−
1
]
1
2
=
10
⇒
[
1
+
1
−
x
2
x
2
]
−
1
2
=
10
⇒
[
1
x
2
]
−
1
2
=
10
⇒
x
=
10
© examsnet.com
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