(-9)/(-24)=e^{-0.3t}

Lösung

\frac{- 9}{- 24} = e^{- 0.3 t}

t = - \frac{ln ( \frac{3}{8} )}{0.3}

Dezimale

t = 3.26943 \dots

Schritte zur Lösung

\frac{- 9}{- 24} = e^{- 0.3 t}

Wende Exponentenregel an

ln (\frac{- 9}{- 24}) = - 0.3 t

Löse

ln (\frac{- 9}{- 24}) = - 0.3 t : t = - \frac{ln ( \frac{3}{8} )}{0.3}

t = - \frac{ln ( \frac{3}{8} )}{0.3}

4^{2 x} = 8^{2 x - 1}

2^{2 x} + 2 (2^{x}) - 15 = 0

4^{- 9 y} = 7

9^{x + 2} + 18 \cdot 3^{x - 1} = 11

e^{x} = 7 e^{- 2 x}