1/2 =e^{-k*5.27}

Lösung

\frac{1}{2} = e^{- k \cdot 5.27}

k = \frac{ln ( 2 )}{5.27}

Dezimale

k = 0.13152 \dots

Schritte zur Lösung

\frac{1}{2} = e^{- k \cdot 5.27}

Wende Exponentenregel an

ln (\frac{1}{2}) = - k \cdot 5.27

Löse

ln (\frac{1}{2}) = - k \cdot 5.27 : k = \frac{ln ( 2 )}{5.27}

k = \frac{ln ( 2 )}{5.27}

5^{2 x} = 7^{x + 1}

3^{2 x - 8} = 9^{x - 4}

600 = 4 \cdot 3^{t}

e^{2 x} = 1.4

87 = 1 9^{x}