If x and y are real numbers, such that `2log(2y-3x)=logx+logy`, then find `x/y`.

If x andy are real numbers such that 2log(2y-3x)=log x+log y, then find (x)/(y)

If x and y are positive real numbers such that 2log(2y - 3x) = log x + log y," then find the value of " x/y .

If x and y are real numbers such that 16^(x^(2)+y)+16^(x+y^2)=1 , then find the values of x and y.

If x and y are real number such that x^(2)+2xy-y^(2)=6, find the minimum value of (x^(2)+y^(2))^(2)

If x and y are positive real numbers such that x^(2)y^(3)=32 then the least value of 2x+3y is

Let x and y be the positive real numbers such that log_x y=-(1)/(4) , then value of the expression log_x(xy^5)-log_y""((x^(2))/(sqrt(y))) is (p)/(q) then q is _____________. { where p , q in N and are coprime to each other }

Let x, y be real numbers such that x gt 2y gt 0 and 2log (x-2y) = log x + log y . Then the possible values (s) of (x)/(y)

If x and y are real numbers such that (x+sqrt(1+x^(2)))(y+sqrt(1+y^(2)))=1. Then find x+y

Let x,y and z be positive real numbers such that x^(log_(2)7)=8,y^(log_(3)5)=81 and z^(log_(5)216)=(5)^((1)/(3)) The value of (x(log_(2)7)^(2))+(y^(log_(3)5)^^2)+z^((log_(5)16)^(2)), is