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Byju's Answer
Standard XII
Mathematics
Conditions on the Parameters of Logarithm Function
If log 1 / 53...
Question
If
log
1
/
5
(
3
x
−
4
)
is defined, then
A
x
∈
(
−
4
,
∞
)
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B
x
∈
(
4
3
,
∞
)
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C
x
∈
(
3
4
,
∞
)
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D
x
∈
(
−
4
3
,
∞
)
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Solution
The correct option is
B
x
∈
(
4
3
,
∞
)
log
1
/
5
(
3
x
−
4
)
Base
1
5
>
0
and
1
5
≠
1
3
x
−
4
>
0
⇒
x
>
4
3
⇒
x
∈
(
4
3
,
∞
)
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0
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