TeX Quellcode:

\begin{array}{lrclcll}& 0 &=& \left(x^2-2\right)\cdot\log_{11}(x^2+2x+2) & \vert & \text{Satz vom Nullprodukt} \\\\\text{Faktor 1:} & x^2-2 &=& 0 &\vert& +2 \\& x^2 &=& 2 &\vert& \pm\sqrt{} \\\\& x_1 &=& \sqrt{2} \;\in\;\mathbb{D} \\& x_2 &=& -\sqrt{2} \;\in\;\mathbb{D} \\\\\text{Faktor 2:} & \log_{11}\left(x^2+2x+2\right) &=& 0 &\vert& 11^{*}\\& x^2+2x+2 &=& 1 &\vert& -1 \\& x^2+2x+1 &=& 0 \\& (x+1)^2 &=& 0 &\vert& \pm\sqrt{} \\& x+1 &=& 0 &\vert& -1 \\& x_3 &=& -1 \;\in\;\mathbb{D}\end{array}