Question 467863
ln(x+9)-ln(x+5)=ln(x+7)-ln(x-4) 

==> {{{ln((x+9)/(x+5)) = ln((x+7)/(x-4))}}}

==>{{{ (x+9)/(x+5) = (x+7)/(x-4)}}}

==> {{{x^2 + 5x - 36 = x^2 + 12x + 35}}}

==> -71 = 6x

==> x = -71/6

But this x-value will NOT satisfy the original equation because of the terms x+9, x+5, x+7, and x-4 will all give negative values after substitution of x = -71/6, and so there is no solution to the equation.