TeX Quellcode:

\begin{array}{rclcl}0 &=& \log_3(5z^2)-\log_3(10z)-3 & \vert & +3 \\ 3 &=& \log_3(5z^2)-\log_3(10z) & \vert & \text{2. Logarithmengesetz} \\\\ 3 &=& \log_3\left(\dfrac{5z^2}{10z}\right) \\\\ 3 &=& \log_3\left(\dfrac{z}{2}\right) & \vert &\ 3^* \\ 27 &=& \dfrac{z}{2} & \vert &\ \cdot 2 \\ x &=& 54 \in \mathbb{D}\end{array}