3^{x^2-12}=9^{2x}

Lösung

3^{x^{2} - 12} = 9^{2 x}

x = 6, x = - 2

Schritte zur Lösung

3^{x^{2} - 12} = 9^{2 x}

Wende Exponentenregel an

x^{2} - 12 = 4 x

Löse

x^{2} - 12 = 4 x : x = 6, x = - 2

x = 6, x = - 2

3^{x} = - 9

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

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

e^{\frac{1}{x}} = 0

x^{x^{9}} = 3^{3}