Question

if 2 log (x+y)/4=log x+log y.find the valu of x/y+ y+x​

Answer 1

Step-by-step explanation:

Given that,

log(

6

x+y

)=

2

1

(logx+logy)

⇒2log(

6

x+y

)=(logx+logy)

⇒log(

6

x+y

)

2

=(logx+logy)

⇒log(

6

x+y

)

2

=logxy

⇒(

6

x+y

)

2

=xy

⇒(x+y)

2

=36xy

⇒x

2

+y

2

+2xy=36xy

⇒x

2

+y

2

=34xy

⇒

xy

x

2

+y

2

=34

⇒

xy

x

2

+

xy

y

2

=34

⇒

y

x

+

x

y

=32