324/327 =e^{10k}

Lösung

\frac{324}{327} = e^{10 k}

k = \frac{ln ( \frac{108}{109} )}{10}

Dezimale

k = - 0.00092 \dots

Schritte zur Lösung

\frac{324}{327} = e^{10 k}

Wende Exponentenregel an

ln (\frac{324}{327}) = 10 k

Löse

ln (\frac{324}{327}) = 10 k : k = \frac{ln ( \frac{108}{109} )}{10}

k = \frac{ln ( \frac{108}{109} )}{10}