TeX Quellcode:
\begin{array}{crclcl} & 0 &=& x\ln(x)+x\ln\left(x^2\right)+x\ln(27) \cr & 0 &=& x\left(\ln(x)+\ln\left(x^2\right)+\ln(27)\right) &\vert& \text{1. Logarithmengesetz} \cr & 0 &=& x\cdot\ln(27x^3) &\vert& \text{Satz vom Nullprodukt} \cr \cr \text{Faktor 1:} & 0 &=& x_1 \; \not \in \; \mathbb{D} \cr\cr \text{Faktor 2:} & 0 &=& \ln(27 x^3) &\vert& e^{*} \cr & 1 &=& 27x^3 &\vert& : 27 \cr & \dfrac{1}{27} &=& x^3 &\vert& \sqrt[3]{} \cr\cr & \dfrac{1}{3} &=& x_2\;\in\;\mathbb{D} \end{array}