If `(x^y)^z` = `x^y`` ^ ^z` where each of x, y and z is greater than 1, then find y in terms of z.

If x , y , z are three positive integers such that x is greater than y a n d y is geater than z then which of the following is definitely true? (a).x % of y is greater than y % of z (b).y % of x is greater than z % of y (c)z % of x is greater than y % of z (d)All of these

Q.if x(y)/(x+y)=a,x(z)/(x+z)=b and y(z)/(y+z)=c, where a ,b and c are other than zero then x equals

Prove that, 1/(x+y-z)+1/(z+x-y)+1/(y+z-x) > 9/(x+y+z) where x, y and z are unequal positive quantities such that the sum total of any two is greater that the third.

If x,z and y are in A.P.where x,y and z are distinct numbers then evaluate (x)/(x-z)+(z)/(y-z)

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 ):}| =

If x(x+y+z) =4, y(x+y+z)=16 and z (x+y+z)=29 and x, y & z are positive numbers. Find x, y & z=?