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UPSC CDS Math Logarithm Questions
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© examsnet.com
Question : 7
Total: 16
If
log
10
2
= 0.3010 and
log
10
3
= 0.4771, then the value of
log
100
(0-72) is equal to
[2018 CDS-II]
0.9286
1.9286
1.8572
1.8572
Validate
Solution:
log
100
(
0.72
)
=
log
100
(
72
100
)
=
log
100
72
−
log
100
100
=
log
100
(
2
3
×
3
2
)
−
1
=
log
10
2
3
+
log
100
3
2
−
1
=
3
log
10
2
+
2
log
100
3
−
1
=
3
log
10
2
log
10
100
+
2
log
10
3
log
10
100
−
1
=
3
(
log
10
2
log
10
10
2
)
+
2
(
log
10
3
log
10
10
2
)
−
1
=
3
(
log
10
2
2
log
10
10
)
+
2
(
log
10
3
2
log
10
10
)
−
1
=
3
2
×
0.3010
+
0.4771
−
1
=
−
1
+
0.9286
=
1.9286
© examsnet.com
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