e^{-2x}= 1/2

Lösung

e^{- 2 x} = \frac{1}{2}

x = \frac{ln ( 2 )}{2}

Dezimale

x = 0.34657 \dots

Schritte zur Lösung

e^{- 2 x} = \frac{1}{2}

Wende Exponentenregel an

- 2 x = ln (\frac{1}{2})

Löse

- 2 x = ln (\frac{1}{2}) : x = \frac{ln ( 2 )}{2}

x = \frac{ln ( 2 )}{2}

2^{x - 3} = 1

9^{x} + 3^{x + 1} - 4 = 0

5^{3 x - 1} = 2

3^{2 x + 1} + 4 (3^{x}) - 15 = 0

5^{x} = - 25