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Byju's Answer
Standard XII
Mathematics
Fundamental Laws of Logarithms
If 3 log 3 |-...
Question
If
3
log
3
|
−
x
|
=
log
3
x
2
,
then the possible value(s) of
x
is/are
A
−
1
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B
0
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C
1
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D
2
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Solution
The correct option is
C
1
We have,
3
log
3
|
−
x
|
=
log
3
x
2
|
−
x
|
>
0
&
x
2
>
0
⇒
x
∈
R
−
{
0
}
.
.
.
.
(
1
)
⇒
log
3
|
−
x
|
3
=
log
3
x
2
⇒
|
−
x
|
3
=
x
2
⇒
|
x
|
3
=
x
2
⇒
|
x
|
2
(
|
x
|
−
1
)
=
0
⇒
x
=
0
,
x
=
±
1....
(
2
)
From
(
1
)
and
(
2
)
x
=
±
1
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0
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