e^{x^2+6}=e^{5x}

Lösung

e^{x^{2} + 6} = e^{5 x}

x = 3, x = 2

Schritte zur Lösung

e^{x^{2} + 6} = e^{5 x}

Wende Exponentenregel an

x^{2} + 6 = 5 x

Löse

x^{2} + 6 = 5 x : x = 3, x = 2

x = 3, x = 2

1 5^{x - 11} = 1 1^{x}

roo t s e^{x + c}

2 5^{x} + 5^{1 + 2 x} = 40

so l v e f or x, 3^{x + 1} = 3^{x} + 18

3^{2 x - 1} = 3