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Standard XI
Maths
Question
Find the roots of the equation
2
x
+
2
.3
3
x
x
−
1
=
9
.
Open in App
Solution
Verified by Toppr
Given,
2
x
+
2
.3
3
x
x
−
1
=
9
Now taking both sides logarithm we get,
(
x
+
2
)
log
2
+
3
x
x
−
1
log
3
=
2
log
3
or,
(
x
+
2
)
log
2
+
x
+
2
x
−
1
log
3
=
0
or,
x
+
2
=
0
and
log
2
+
1
x
−
1
log
3
=
0
or,
x
=
−
2
and
x
=
1
−
log
3
log
2
.
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