TeX Quellcode:

\begin{array}{rclcll}\ln\left(\sqrt{-s+13}\right)+\ln\left(\sqrt[3]{-s+13}\right)-1 &=& 0 &\vert& +1 \\ \\\ln\left(\sqrt{-s+13}\right)+\ln\left(\sqrt[3]{-s+13}\right) &=& 1 \\ \\\ln\left((-s+13)^{\frac{1}{2}}\right)+\ln\left((-s+13)^{\frac{1}{3}}\right) &=& 1 \\ \\\ln\left((-s+13)^{\frac{1}{2}}\cdot (-s+13)^{\frac{1}{3}}\right) &=& 1 \\ \\\ln\left((-s+13)^{\frac{5}{6}}\right) &=& 1 &\vert& e^{*} \\(-s+13)^{\frac{5}{6}} &=& e &\vert& ()^6 \\(-s+13)^5 &=& e^6 &\vert& ()^{\frac{1}{5}} \\-s+13 &=& e^{\frac{6}{5}} &\vert& -13\\-s &=& e^{\frac{6}{5}}-13 &\vert & \cdot (-1) \\s &=& -e^{\frac{6}{5}}+13 \approx 9{,}68 \;\in\;\mathbb{D}\end{array}