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Byju's Answer
Standard XII
Mathematics
Standard Logarithm
If a2+4b2 = 1...
Question
If
a
2
+
4
b
2
=
12
a
b
, then log(a + 2b) is
A
1
2
[
l
o
g
a
+
l
o
g
b
ā
l
o
g
2
]
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B
l
o
g
a
2
+
l
o
g
b
2
+
l
o
g
2
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C
1
2
[
l
o
g
a
+
l
o
g
b
+
4
l
o
g
2
]
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D
1
2
[
l
o
g
a
ā
l
o
g
b
+
4
l
o
g
2
]
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Solution
The correct option is
C
1
2
[
l
o
g
a
+
l
o
g
b
+
4
l
o
g
2
]
a
2
+
4
b
2
=
12
a
b
ā
a
2
+
4
b
2
+
4
a
b
=
16
a
b
ā
(
a
+
2
b
)
2
=
16
a
b
ā
2
l
o
g
(
a
+
2
b
)
=
l
o
g
16
+
l
o
g
a
+
l
o
g
b
ā“
l
o
g
(
a
+
2
b
)
=
1
2
[
l
o
g
a
+
l
o
g
b
+
4
l
o
g
2
]
Suggest Corrections
0
Similar questions
Q.
If
a
2
+
4
b
2
=
12
a
b
, then value of
log
(
a
+
2
b
)
is equal to
Q.
If
a
2
ā
12
a
b
+
4
b
2
=
0
, Find the value of :
ā
log
(
a
+
2
b
)
+
1
2
(
log
a
+
log
b
)
+
2
log
2
.
Q.
If
a
2
ā
12
a
b
+
4
b
2
=
0
,
prove that
log
(
a
+
2
b
)
=
1
2
(
log
a
+
log
b
)
+
2
log
2
Q.
If a-2b = 15 and find a
2
+ 4b
2
.
Q.
Simplify
a
2
ā
4
b
2
a
2
ā
9
b
2
Ć
a
ā
3
b
a
+
2
b
, then the answer is
a
ā
2
b
a
+
3
b
If true then enter
1
and if false then enter
0
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