If `x=500,y=100 and z=5050,` then the value of `(log_(x y z)x^z)(1+log_x y z)` is equal to

If x, y and z be greater than 1, then the value of |(1,log_(x)y,log_(x)z),(log_(y)x,1,log_(y)z),(log_(z)x,log_(z)y,1)| is

If x , y and z be greater than 1, then the value of |{:(1, log_(x)y, log_(x) z),(log_(y)x , 1 ,log_(y)z),(log_(z)x , log_z y , 1 ):}| =

What is the value of log_(y)x^(5)log_(x)y^(2)log_(z)z^(3) ?

If x,y,z are in HP, then log(x+z)+log (x-2y+z) is equal to

If x,y,z are in H.P then the value of expression log(x+z)+log(x-2y+z)=