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Byju's Answer
Standard XII
Mathematics
Real Valued Functions
The number of...
Question
The number of solution(s) of the equation
sgn
(
ln
x
)
=
3
is
(Here, sgn denotes the signum function)
A
3
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B
4
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C
0
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D
2
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Solution
The correct option is
C
0
sgn
(
ln
x
)
=
⎧
⎪
⎨
⎪
⎩
−
1
,
ln
x
<
0
0
,
ln
x
=
0
1
,
ln
x
>
1
⎫
⎪
⎬
⎪
⎭
⇒
sgn
(
ln
x
)
=
⎧
⎪
⎨
⎪
⎩
−
1
,
0
<
x
<
1
0
,
x
=
1
1
,
1
<
x
<
∞
⎫
⎪
⎬
⎪
⎭
∴
sgn
(
ln
x
)
=
3
has no solution
Suggest Corrections
2
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