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UPSC CDS Math Law of Indices Questions
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© examsnet.com
Question : 4
Total: 13
If x =
y
a
, y =
z
b
and z =
x
c
, then the value of abc is
[2018 CDS-II]
1
2
- 1
0
Validate
Solution:
x
=
y
q
⇒
logx
=
logy
a
⇒
logx
=
a
logy
⇒
a
=
logx
logy
Similarly,
b
=
logy
logz
and
c
=
logz
logx
∴
a
b
c
=
logx
logy
×
logy
logz
×
logz
logx
=
1
© examsnet.com
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