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Byju's Answer
Standard XII
Mathematics
Logarithms
Find the inte...
Question
Find the integral value of
x
satisfying the equation
|
log
√
3
x
−
2
|
−
|
log
3
x
−
2
|
=
2
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Solution
log
√
3
(
x
−
2
)
−
log
3
(
x
−
2
)
=
2
log
3
(
x
−
2
)
log
3
√
3
−
log
3
(
x
−
2
)
=
2
|
∵
log
3
√
3
=
1
2
log
3
3
=
1
2
2
log
3
(
x
−
2
)
−
log
3
(
x
−
2
)
=
log
3
(
3
2
)
|
∵
2
=
2
log
3
3
=
2
×
1
log
3
(
x
−
2
)
=
log
3
(
9
)
x
−
2
=
9
∴
x
=
11
Suggest Corrections
1
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