Question 806444
{{{ ln(x) + ln( x+7 ) = 0 }}}
{{{ ln(x) = -ln( x+7 ) }}}
{{{ ln(x) = ln( 1/(x+7) ) }}}
{{{ x = 1/(x+7) }}}
{{{ x*( x+7 ) = 1 }}}
{{{ x^2 + 7x = 1 }}}
{{{ x^2 + 7x + (7/2)^2 = 1 + (7/2)^2 }}}
{{{ x^2 + 7x + 49/4 = 4/4 + 49/4 }}}
{{{ x^2 + 7x + 49/4 = 53/4 }}}
{{{ ( x + 7/2 )^2 = 53/4 }}}
{{{ x + 7/2 = sqrt(53)/2 }}}
{{{ x = ( -7 + sqrt(53))/2 }}} answer
and
{{{ x = ( -7 - sqrt(53))/2 }}} is not allowed because a
positive base raised to a power cannot result in 
a negative number.
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check answer:
{{{ ln(x) + ln( x+7 ) = 0 }}}
{{{ x = ( -7 + sqrt(53))/2 }}}  
{{{ x = ( -7 + 7.28 )/2 }}}
{{{ x = .28/2 }}}
{{{ x = .14 }}}
{{{ ln(.14) + ln( .14+7 ) = 0 }}} 
{{{ -1.966 + 1.966 = 0 }}}
Looks OK