If `x^(2) + y^(2) -3xy = 0 and x gt y` then find the value of `log_(xy)(x-y)`.

If x^(2) - y^(2) = 1, (x gt y) then find the value of log_(x-y) (x+y)

If 5x^(2) + 4xy + y^(2) + 2x + 1= 0 then find the value of x, y

If x^2 -3x + 1 =0 , and xy = 1 then find the value of x^3-y^3 +3xy

If 4x^(2) + y^(2) = 40 and xy = 6, (x gt , y gt 0) then the value of 2x + y is

If x:y=2:3, find the value of (3x+2y):(2x+5y)

If log_(12)18=x and log_(24)4=y then find the value of xy-(2x+5y)+4

If x=1, y=2 find the value of: xy+3y-9

(a) If x : y = 3 : 4 , then find the value of the ratio (2x + y) : ( 9x - 2y) . (b) If x : y = 5 : 4 , then find the value of the ratio (x^(2) + xy) : (x^(2) - xy) .

If f(2x + 3y, 2x-3y)=4xy , then find the value of f(x,y)