3^{x^2}=9^x

Lösung

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

x = 2, x = 0

Schritte zur Lösung

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

Wende Exponentenregel an

x^{2} = 2 x

Löse

x^{2} = 2 x : x = 2, x = 0

x = 2, x = 0

2 x e^{x} + e^{x} x^{2} = 0

3^{2 x} = 81

e^{x} - e^{- x} = 0

832 = 2^{m}

4^{x} - 9 \cdot 2^{x} + 8 = 0