If `(log x)/(y-z)=(logy)/(z-x) =(logz)/(x-y)`, then prove that: `x^x y^y z^z=1`

If (log x)/(y-z)=(log y)/(z-x)=(log z)/(x-y), then prove that: x^(x)y^(y)z^(z)=1

If (logx)/(y-z) = (logy)/(z-x) = (logz)/(x-y) , then prove that (i) x^(x) . y^(y) . z^(z) = 1 .

If (log x)/(y-z) = (log y)/(z-x) = (log z)/(x-y) , then prove that xyz = 1 .

If (log x)/(y-z)=(log y)/(z-x)=(log z)/(x-y) then prove that x^(y)+z^(z)+xx^(y+z)+y^(x+x)+z^(x+y)>=3

If (log_(e)x)/(y-z)=(log_(e)y)/(z-x)=(log_(e)z)/(x-y), prove that xyz=1

If (logx)/(y-z)=(logy)/(z-x)=(logz)/(x-y) show that x^(x)y^(y)z^(z)=1

If ("log"x)/(y - z) = ("log" y)/(z - x) = ("log" z)/(x - y) , then prove that xyz = 1.

If logx/(y-z)=logy/(z-x)=logz/(x-y) prove that xyz=1

If (log a)/(y-z)=(log b)/(z-x)=(log c)/(x-y) the value of a^(y+z)*b^(z+x)*c^(x+y) is

If (logx)/(b-c)=(logy)/(c-a)=(logz)/(a-b) , then which of the following is/are true? z y z=1 (b) x^a y^b z^c=1 x^(b+c)y^(c+b)=1 (d) x y z=x^a y^b z^c