e^{x^2+x}=e^2

Lösung

e^{x^{2} + x} = e^{2}

x = 1, x = - 2

Schritte zur Lösung

e^{x^{2} + x} = e^{2}

Wende Exponentenregel an

x^{2} + x = 2

Löse

x^{2} + x = 2 : x = 1, x = - 2

x = 1, x = - 2

20 = 5 \cdot 2^{- 2 k}

4^{x + 1} - 2^{x + 2} + 1 = 0

5^{x + 1} = 100 (3)^{x}

11 e^{- 4 x} = 21

2 \cdot 3^{x} + 5 = 17