Question

if x & y are real numbers such that 2 log (2y-3x)=log x+log y,then find x/y​

Answer 1

Answer:

by both side comparison you get a equation

(2y-3x)^2=xy

now solve this equation you get a another equation such that 9t^2-12t+4=0

here t=x/y

solve equation you get t=2/3