TeX Quellcode:

\begin{array}{rclcl}x \cdot \log_{10}(4x) &=& 6x\cdot\log_{10}(\sqrt{10}) \\x \cdot \log_{10}(4x) &=& 6x\cdot \log_{10}\left(10^{\frac{1}{2}}\right) \\x \cdot \log_{10}(4x) &=& 6x\cdot\dfrac{1}{2}&\vert& :x \\\log_{10}(4x) &=& 3 &\vert& 10^* \\4x &=& 10^3 &\vert& :4 \\x &=& 250 \in \mathbb{D} \\\\\mathbb{L} &=& \left\{250\right\}\end{array}