TeX Quellcode:

\begin{array}{rclcl} \ln(x-2)+\ln(x+3) &=& \ln(x^2+x-6) &\vert& \text{1. Logarithmengesetz} \cr \ln\left((x-2)(x+3)\right) &=& \ln(x^2+x-6) \cr \ln\left(x^2+x-6\right) &=& \ln\left(x^2+x-6\right) &\vert& e^{*} \cr e^{\ln\left(x^2+x-6\right)} &=& e^{\ln\left(x^2+x-6\right)} \cr x^2+x-6 &=& x^2+x-6 &\vert& -x^2-x+6 \cr 0 &=& 0 \cr\cr \mathbb{L} &=& ]2;\infty[ \end{array}