3^{x^2+x}=sqrt(3)

Lösung

3^{x^{2} + x} = 3

x = \frac{- 1 + 3}{2}, x = - \frac{1 + 3}{2}

Dezimale

x = 0.36602 \dots, x = - 1.36602 \dots

Schritte zur Lösung

3^{x^{2} + x} = 3

Wende Exponentenregel an

x^{2} + x = \frac{1}{2}

Löse

x^{2} + x = \frac{1}{2} : x = \frac{- 1 + 3}{2}, x = - \frac{1 + 3}{2}

x = \frac{- 1 + 3}{2}, x = - \frac{1 + 3}{2}

e^{2 t - 1} - 3 = 0

e^{- 0.3 t} = 27

e^{y} = 75

e^{- x} = 3

3^{x - 3} = 5