$$ \begin{array}{rl}{0,1=} & {\frac{2}{7232 e^{-1,5 t}+1} \quad \text { |* Nenner }} \\ {0,1\left(7232 e^{-1,5 t}+1\right)=2} \\ {7232 e^{-1,5 t}+1=20} \\ {7232 e^{-1,5 t}+1=19} \\ {e^{-1,5 t}=} &\frac{19}{7232} \\ {-1,5t \cdot ln(e) =} &\ln (\frac{19}{7232}) \\ -1,5t = &\ln (\frac{19}{7232}) \\ {t=} & {-\frac{\ln \left(\frac{19}{7232}\right)}{1,5}} \\ {} & {t=-\frac{2}{3} \ln \left(\frac{19}{7232}\right)} \\ {t=} & {3,96122}\end{array} $$
