\(\log_{81}\left(\dfrac{1}{3}\right) = \underbrace{\log_{81}(1)}_{\log_a(1) = 0} - \log_{81}(3) = 0 - \log_{81}(3) = -\log_{3^\color{blue}{4}}(3) = -\dfrac{1}{\color{blue}{4}}\)
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log81(1:3)=log81(1:wurzel von 81 hoch 4)=-(1:4)
\(\log_{81}\left(\dfrac{1}{3}\right) = \underbrace{\log_{81}(1)}_{\log_a(1) = 0} - \log_{81}(3) = 0 - \log_{81}(3) = -\log_{3^\color{blue}{4}}(3) = -\dfrac{1}{\color{blue}{4}}\)