Question 1001259
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Solve the following equations:

{{{ ln(x+4)=ln(x-8)-ln(x+1) }}}
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{{{ ln(x+4)}}} = {{{ln(x-8)}}} - {{{ln(x+1)}}} -----> 


{{{x + 4}}} = {{{(x-8)/(x+1)}}}       ----->


(x+4)*(x+1) = x-8,


{{{x^2 + 5x + 4}}} = {{{x-8}}},


{{{x^2 + 4x  + 12}}} = {{{0}}}.


Discriminant  d = 4^2 - 4*1*12 = 16 - 48 = -44  is negative     ----->   no real solutions.


<U>Answer</U>. &nbsp;There is no real solutions.