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Byju's Answer
Standard XIII
Mathematics
Fundamental Laws of Logarithms
If x=log 24 1...
Question
If
x
=
log
24
12
,
y
=
log
36
24
and
z
=
log
48
36
,
then
(
1
+
x
y
z
)
equals
k
times
y
z
.
The value of
k
is
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Solution
1
+
x
y
z
=
1
+
log
12
log
24
⋅
log
24
log
36
⋅
log
36
log
48
=
1
+
log
12
log
48
=
log
(
48
×
12
)
log
48
=
log
(
24
)
2
log
48
=
2
log
24
log
48
=
2
⋅
log
24
log
36
⋅
log
36
log
48
=
2
y
z
=
k
y
z
Hence,
k
=
2
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Q.
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