TeX Quellcode:

\begin{array}{crclcl} & \mathbb{D} &=& \mathbb{R} \cr \cr \text{1. Zeile:} & 1{,}1^{x+1} &=& 1{,}2^x &\vert& \ln() \cr \text{2. Zeile:} & \ln\left(1{,}1^{x+1}\right) &=& \ln\left(1{,}2^x\right) \cr \text{3. Zeile:} & (x+1)\ln(1{,}1) &=& x\ln(1{,}2) \cr & x\ln(1{,}1)+\ln(1{,}1) &=& x\ln(1{,}2) &\vert&\ -\ln(1{,}1)-x\ln(1{,}2) \cr & x\ln(1{,}1)-x\ln(1{,}2) &=& -\ln(1{,}1) \cr & x\left(\ln(1{,}1)-\ln(1{,}2)\right) &=& -\ln(1{,}1) &\vert& : \left(\ln(1{,}1)-\ln(1{,}2)\right) \cr & x &=& -\dfrac{\ln(1{,}1)}{\ln(1{,}1)-\ln(1{,}2)} \cr \cr & \mathbb{L} &=& \left\{-\dfrac{\ln(1{,}1)}{\ln(1{,}1)-\ln(1{,}2)}\right\} \end{array}