Byju's Answer
Standard IX
Mathematics
Fundamental Laws of Logarithms
If log 4 5= a...
Question
If
l
o
g
4
5 = a and
l
o
g
5
6 = b, then
l
o
g
3
2
is equal to
A
1
2
a
+
1
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B
1
2
b
+
1
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C
2
a
b
+
1
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D
1
2
a
b
−
1
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Solution
The correct option is
B
1
2
a
b
−
1
a
b
=
l
o
g
4
5.
l
o
g
5
6
=
l
o
g
4
6
=
1
2
l
o
g
2
6
a
b
=
1
2
(
1
+
l
o
g
2
3
)
⇒
2
a
b
−
1
=
l
o
g
2
3
∴
l
o
g
3
2
=
1
2
a
b
−
1
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o
g
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o
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