If `a^(x)=b^(y)=c^(z)` and `y=sqrt(xz)`, find the value of `( logalogc )/((log b)^(2))`

If a^(x)=b,b^(y)=c and c^(z)=a then find the value of xyz

If a^(x)=b,b^(y)=c,c^(z)=a, then find the value of xyz.

If a^(x)=b^(y)=c^(2) and b^(2)=ac, prove that y=(2xz)/(x+z)

if a^(x)=b^(y)=c^(z) and b^(2)= acprove that y=(2xz)/(x+z)

If y^(2)=xz and a^(x)=b^(y)=c^(z), then prove that (log)_(a)b=(log)_(b)c

If a^x=b,b^y =c,c^z=a , find the value of xyz.

If x=(a-b)/(a+b), y=(b-c)/(b+c) and z=(c-a)/(c+a) , find the value of ((1+x)(1+y)(1+z))/((1-x)(1-y)(1-z))

If a^(x)=b^(y)=c^(z)backslash and quad b^(2)=ac, then y equals a.(xz)/(x+z) b.(xz)/(2(x-z)) c.(xz)/(2(z-x))d .(2xz)/((x+z))