Question 658889
{{{  log( (x+y)/3 ) = (1/2)*( log(x) + log(y) ) }}}
{{{  log( (x+y)/3 ) = (1/2)*( log(x*y) ) }}}
{{{  log( (x+y)/3 ) =  log(sqrt(x*y))  }}}
{{{ ( x + y ) / 3 = sqrt( x*y ) }}}
Square both sides
{{{ ( x + y )^2 / 9 = x*y }}}
{{{  x^2 + 2x*y + y^2  = 9x*y }}}
{{{ x^2 + y^2 = 7x*y }}}
Divide both sides by {{{ y^2 }}}
{{{  (x/y)^2 + 1  = 7*(x/y) }}}
Solve for {{{ x/y }}} Have to run.
Hope I got it.