Question

2 log x-y =log x+ log y then find the value x/ y + y/x

Answer 1

Answer:

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

or, log (x-y)² = log xy

or, (x-y)² = xy

or, x² -2xy +y² =xy

or, (x/y) -2 + (y/x) =1 [dividing both sides with xy]

or, (x/y) + (y/x) =3

Answer 2

Answer:

3

Step-by-step explanation:

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

log (x-y)^2 = log xy

(x-y)^2= xy

x^2+y^2-2xy=xy

x^2+y^2=3xy

x/y+y/x =3