Question

if log x/y+z = log y/z+x = log z/x+y then prove that (x/y)^z*(y/z)^x*(z/x)^y = 1.​

Answer 1

Answer:

Correct option is

B

x

x

.y

y

.z

z

=1

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

Step-by-step explanation:

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