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Byju's Answer
Standard XI
Mathematics
Domain
The function ...
Question
The function
f
(
x
)
=
l
o
g
a
x
(
(
a
>
0
a
n
d
a
≠
1
)
)
A
Odd
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B
Even
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C
Neither
even nor odd
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D
Both even and odd
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Solution
The correct option is
C
Neither
even nor odd
∵
domain is
(
0
,
∞
)
and is not symmetric about the origin
Suggest Corrections
0
Similar questions
Q.
The function
f
(
x
)
=
l
o
g
a
x
(
(
a
>
0
a
n
d
a
≠
1
)
)
Q.
For
a
>
0
,
≠
1
, the roots of the equation
log
a
x
a
+
log
x
a
2
+
log
a
2
x
a
3
=
0
are given by
Q.
l
o
g
x
a
+
−
l
o
g
a
x
a
+
3
l
o
g
a
2
x
a
=
0
Q.
If a function satisfies
f
(
x
+
1
)
+
f
(
x
−
1
)
=
√
2
f
(
x
)
and
f
(
x
)
≠
0
, then period of
f
(
x
)
can be
Q.
There exists a function
f
(
x
)
satisfying
f
(
0
)
=
1
,
f
′
(
0
)
=
−
1
,
f
(
x
)
>
0
for all
x
and
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