Question

If log(x+y/3)=1/2(logx+logy) then find the value of x/y+y/x

Answer 1

Answer:

7

Explanation:

log(x+y)-log 3=(1/2) log xy

2 log (x+y)-2 log 3=log xy

(x+y)^2/xy=9

(x^2+y^2+2xy)/xy=9