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Byju's Answer
Standard XII
Mathematics
Global Maxima
If 2x+y=6y ...
Question
If
2
x
+
y
=
6
y
and
3
x
−
1
=
2
y
+
1
, then the value of
log
3
−
log
2
x
−
y
will be
A
1
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B
log
2
3
−
log
3
2
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C
log
3
2
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D
none of these
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Solution
The correct option is
C
log
3
2
2
x
+
y
=
6
y
⇒
(
x
+
y
)
log
2
=
y
log
6
⇒
(
x
+
y
)
log
2
=
y
(
log
2
+
log
3
)
⇒
x
log
2
=
y
log
3
...(1)
3
x
−
1
=
2
y
+
1
⇒
(
x
−
1
)
log
3
=
(
y
+
1
)
log
2
⇒
x
log
3
−
y
log
2
=
log
3
+
log
2
...(2)
From (1) & (2)
x
=
log
3
log
3
−
log
2
y
=
log
2
log
3
−
log
2
⇒
x
−
y
=
log
3
−
log
2
log
3
−
log
2
⇒
log
3
−
log
2
x
−
y
=
log
3
2
Suggest Corrections
0
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