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UPSC NDA Math Model Paper 8
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© examsnet.com
Question : 70
Total: 120
If
log
4
2
=
a
then
log
2
2
is
1/2a
2a
1/a
None of these
Validate
Solution:
Given:
log
4
2
=
a
To find:
log
2
2
Using property,
log
a
b
=
1
log
b
a
⇒
log
4
2
=
1
log
2
4
=
1
log
2
(
2
×
2
)
Using property,
log
a
M
+
log
a
N
=
log
a
(
M
N
)
⇒
a
=
1
(
log
2
2
+
log
2
2
)
⇒
a
=
1
2
log
2
2
⇒
2
log
2
2
=
1
a
∴
log
2
2
=
1
2
a
© examsnet.com
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