Question 836278
{{{ln(x+3)-4=ln(x-5)}}}



{{{ln(x+3)=ln(x-5)+4}}}



{{{ln(x+3)-ln(x-5) = 4}}}



{{{ln((x+3)/(x-5)) = 4}}}



{{{(x+3)/(x-5) = e^4}}}



{{{x+3 = e^4(x-5)}}}



{{{x+3 = e^4*x+e^4*(-5)}}}



{{{x+3 = e^4*x-5e^4}}}



{{{x = e^4*x-5e^4-3}}}



{{{x-e^4*x = -5e^4-3}}}



{{{x(1-e^4) = -5e^4-3}}}



{{{x = (-5e^4-3)/(1-e^4)}}}



{{{x = -(5e^4+3)/(1-e^4)}}}



{{{x = -(5e^4+3)/(-1(-1+e^4))}}}



{{{x = (5e^4+3)/(e^4-1)}}} <font color="red"><---- Exact Answer</font>



{{{x = 5.1492588829}}} <font color="blue"><---- Approximate Answer</font> (use a calculator to input the expression and evaluate)