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Byju's Answer
Standard XII
Mathematics
Fundamental Laws of Logarithms
If log aa b=A...
Question
If
l
o
g
a
(
a
b
)
=
x
, then
l
o
g
b
(
a
b
)
is equal to
A
1
x
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B
x
1
+
x
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C
x
x
−
1
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D
x
1
−
x
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Solution
The correct option is
C
x
x
−
1
If
y
=
l
o
g
b
(
a
b
)
then
1
x
+
1
y
=
l
o
g
a
b
a
+
l
o
g
a
b
b
or
1
x
+
1
y
l
o
g
a
b
(
a
b
)
=
1
∴
1
y
=
1
−
1
x
=
x
−
1
x
∴
y
=
x
x
−
1
.
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