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

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

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 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 }

If log((x+y)/3)=1/2(logx+logy) ,then prove that x/y+y/x=7

If log((x+y)/2)=1/2(logx+logy) ,then prove that x=y

If x^2+y^2=7xy then show that 2log(x+y)=logx+logy+2log3.