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UPSC CDS Math Logarithm Questions
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© examsnet.com
Question : 3
Total: 16
If
log
10
1995
=
3.3000
, then what is the value of
(
0.001995
)
1
8
?
[2019 CDS-II]
1
10
0.3475
1
10
0.3375
1
10
0.3275
1
10
0.3735
Validate
Solution:
We have,
log
10
1995
=
3.3000
⇒
1995
=
10
3.3000
[
∵
log
a
x
=
y
⇒
x
=
a
y
]
⇒
1995
×
10
−
6
=
10
3.3000
×
10
−
6
⇒
0.001995
=
10
3.3000
−
6
⇒
0.001995
=
10
−
2.7
⇒
(
0.001995
)
1
∕
8
=
(
10
−
2.7
)
1
∕
8
⇒
(
0.001995
)
1
∕
8
=
1
10
2.7
∕
8
⇒
(
0.001995
)
1
∕
8
=
1
10
0.3375
© examsnet.com
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