Answer
$x=-3$
$x=-2$
Work Step by Step
$\ln(x+5)=\ln(x-1)-\ln(x+1)$
$\ln(x+5)=\ln\frac{x-1}{x+1}$
Using the One-to-One Property:
$x+5=\frac{x-1}{x+1}$
$(x+5)(x+1)=x-1$
$x^2+6x+5=x-1$
$x^2+5x+6=0~~$ (Make: $5x=2x+3x$)
$x^2+2x+3x+6=0$
$x(x+2)+3(x+2)=0$
$(x+3)(x+2)=0$
$x+3=0$
$x=-3$
$x+2=0$
$x=-2$
