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Question
Mathematics
The equation log3(3x-8)=2-x has the solution
Q. The equation
l
o
g
3
(
3
x
−
8
)
=
2
−
x
has the solution
1833
229
Linear Inequalities
Report Error
A
x
=
1
9%
B
x
=
2
66%
C
x
=
3
19%
D
x
=
4
6%
Solution:
l
o
g
3
(
3
x
−
8
)
=
2
−
x
⇒
3
x
−
8
=
3
2
−
x
,
where
3
x
−
8
>
0
⇒
3
x
−
8
=
3
x
9
⇒
(
3
x
)
2
−
8
(
3
x
)
−
9
=
0
⇒
(
3
x
+
1
)
(
3
x
−
9
)
=
0
⇒
3
x
=
9
[
∵
3
x
=
−
1
]
∴
x
=
2