Answer
$x_1=3$ and $x_2=-2$
Work Step by Step
$\ln(x^2-x)=\ln6$
$x^2-x=6~~$ (One-to-One Property)
$x^2-x-6=0~~$ ($a=1,~~b=-1,~~c=-6)$
$x=\frac{-(-1)±\sqrt {(-1)^2-4(1)(-6)}}{2(1)}=\frac{1±\sqrt {25}}{2}=\frac{1±5}{2}$
$x_1=\frac{6}{2}=3$ and $x_2=\frac{-4}{2}=-2$
