TeX Quellcode:

\begin{array}{ccl} \log\left(1+x^3\right) \cdot \left[ \log\left(\sqrt{x}\right)+1 \right] &=& \log\left(1+x^3\right) \cdot \left[\log\left(x^{\frac{1}{2}} \right)+1 \right] \cr\cr &=& \log\left(1+x^3\right) \cdot \left[ \dfrac{1}{2} \log\left(x\right)+1 \right] \cr\cr &=& \dfrac{1}{2}\log\left(1+x^3\right) \cdot \log\left(x\right)+ \log\left(1+x^3\right) \end{array}