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Byju's Answer
Standard XII
Mathematics
Global Maxima
The value of ...
Question
The value of
x
for the inequation
(
l
o
g
(
1
/
2
)
x
≥
l
o
g
(
1
/
3
)
x
)
is
A
(
0
,
1
]
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B
(
0
,
1
)
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C
[
0
,
1
)
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D
None
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Solution
The correct option is
A
(
0
,
1
]
log
1
2
x
≥
log
1
3
x
−
log
2
x
≥
−
log
3
x
⇒
log
2
x
≤
log
3
x
⇒
x
∈
(
0
,
1
]
H
e
n
c
e
,
o
p
t
i
o
n
A
i
s
c
o
r
r
e
c
t
a
n
s
w
e
r
.
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0
Similar questions
Q.
If
f
(
x
)
=
lim
n
→
∞
(
2
x
+
4
x
3
+
…
+
2
n
x
2
n
−
1
)
, where
x
∈
(
0
,
1
√
2
)
,
then
∫
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d
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Q.
f
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=
⎧
⎪ ⎪
⎨
⎪ ⎪
⎩
sin
3
(
√
3
)
⋅
log
(
1
+
3
x
)
(
tan
−
1
√
x
)
2
(
e
5
√
x
−
1
)
x
,
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≠
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a
,
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=
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continuous in
[
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,
1
]
, if
′
a
′
equals to
Q.
The set of values of
x
for which
log
2
(
−
log
1
/
2
(
1
+
1
x
4
)
−
1
)
is defined is
Q.
The function
f
(
x
)
is defined in
[
0
,
1
]
, then the domain of definition of the function
f
[
log
(
1
−
x
2
)
]
Q.
Find 'x' for which
l
o
g
1
/
2
x
>
l
o
g
1
/
3
x
.
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