Question 917043
{{{log(2,x) + log (2,y) = log ( 2,36)}}}  ..........eq.1
{{{log( 2,x) - log ( 2,y) = log  (2,9) }}} .............eq.2
____________________________________________ add both


{{{log(2,x) + log (2,y) +log( 2,x) - log ( 2,y) = log ( 2,36)+log  (2,9)}}}  ..........eq.1


{{{2log(2,x) = log ( 2,36)+log (2,9)}}} 

{{{log(2,x^2) = log ( 2,36*9) }}} 

{{{log(2,x^2) = log ( 2,324) }}}  if log same, then

{{{x^2 = 324 }}}

{{{x = sqrt(324 )}}}

{{{x = 18}}} or {{{x=-18}}}

find {{{y}}}

if {{{x=18}}}

{{{log(2,18) + log (2,y) = log ( 2,36) }}} ..........eq.1

 {{{log (2,y) = log(2,36)-log(2,18)}}}

{{{log (2,y) = log ( 2,36/18)}}}

{{{log (2,y) = log ( 2,2)}}}  if log same, then

{{{y=2}}}

if{{{ x=-18}}}

{{{log(2,-18) + log (2,y) = log ( 2,36)}}}  ..........eq.1

 {{{log (2,y) = log ( 2,36)-log(2,-18)}}}

{{{log (2,y) = log ( 2,-36/18)}}}

{{{log (2,y) = log ( 2,-2)}}}  if log same, then

{{{y=-2}}}