TeX Quellcode:
\begin{array}{rclcll}\log_{27}\left(\sqrt[3]{9\left(\sqrt[5]{\dfrac{1}{9}}\right)^2}\right) &=& \log_{27}\left(\dfrac{1}{\sqrt[5]{\dfrac{1}{9}}}\right)\\\log_{27}\left(\sqrt[3]{9\left(\dfrac{1}{\sqrt[5]{9}}\right)^2}\right) &=& \log_{27}\left(\sqrt[5]{9}\right)\\\log_{27}\left(\sqrt[3]{9\dfrac{1}{\left(\sqrt[5]{9}\right)^2}}\right) &=& \log_{27}\left(9^{\frac{1}{5}}\right) \\\log_{27}\left(\sqrt[3]{\dfrac{9}{9^{\frac{2}{5}}}}\right) &=& \dfrac{1}{5}\log_{27}9 \\\log_{27}\left(\sqrt[3]{9^{\frac{3}{5}}}\right) &=& \dfrac{1}{5}\log_{27}9\\\log_{27}\left(9^{\frac{3}{5}\cdot\frac{1}{3}}\right) &=& \dfrac{1}{5}\log_{27}9\\\log_{27}\left(9^{\frac{1}{5}}\right) &=& \dfrac{1}{5}\log_{27}9\\\dfrac{1}{5}\log_{27}9 &=& \dfrac{1}{5}\log_{27}9\end{array}