Answer
$x=3.729$ or $x=-0.729$
Work Step by Step
$\ln x+\ln(x-3)=1$
$\ln x(x-3)=1$
$\ln(x^2-3x)=1$
$x^2-3x=e$
$x^2-3x-e=0~~$ ($a=1,b=-3,c=-e$):
$x=\frac{-b±\sqrt {b^2-4ac}}{2a}=\frac{3±\sqrt {(-3)^2-4(1)(-e)}}{2(1)}=\frac{3±\sqrt {9+4e}}{2}$
$x=3.729$ or $x=-0.729$
