3^{2x^2-3}=81

Lösung

3^{2 x^{2} - 3} = 81

x = \frac{7}{2}, x = - \frac{7}{2}

Dezimale

x = 1.87082 \dots, x = - 1.87082 \dots

Schritte zur Lösung

3^{2 x^{2} - 3} = 81

Wende Exponentenregel an

2 x^{2} - 3 = 4

Löse

2 x^{2} - 3 = 4 : x = \frac{7}{2}, x = - \frac{7}{2}

x = \frac{7}{2}, x = - \frac{7}{2}

3^{2 x + 1} = 3^{x + 5}

e^{x^{2}} = (e^{x})^{2}

4^{y} = 16

500 e^{0.0675 t} = 1000

(\frac{1}{5})^{x - 7} = 125