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Byju's Answer
Standard XII
Mathematics
Continuity of a Function
Determine dom...
Question
Determine dom ain
log
4
log
5
log
3
(
18
x
−
x
2
−
77
)
.
The domain of x can be expressed as
(
a
,
b
)
, where
b
>
a
, then
b
−
a
=
?
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Solution
log
5
log
3
(
18
x
−
x
2
−
77
)
>
0
⇒
log
3
(
18
x
−
x
2
−
77
)
>
5
∘
=
1
⇒
18
x
−
x
2
−
77
>
3
1
⇒
x
2
−
18
x
+
80
<
0
⇒
(
x
−
8
)
(
x
−
10
)
<
0
∴
x
ϵ
(
8
,
10
)
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