if log x + y by x is equal to 1 by 2 of log x + Y then find the value of x by Y + y by x
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0
Answer:
ANSWER
Let
y−z
logx
=
z−x
logy
=
y−z
logz
=k
Now,
xlogx+ylogy+zlogz=k[x(y−z)+y(z−x)+z(y−z)]
⇒logx
x
+logy
y
+logz
z
=0
⇒logx
x
y
y
z
z
=0
⇒x
x
y
y
z
z
=1
Thus the correct answer is option B
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