49^x*7^{x^2}=2401^2

Lösung

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

x = 2, x = - 4

Schritte zur Lösung

4 9^{x} \cdot 7^{x^{2}} = 240 1^{2}

Wende Exponentenregel an

2 x + x^{2} = 8

Löse

2 x + x^{2} = 8 : x = 2, x = - 4

x = 2, x = - 4

2500 = 5000 e^{100 x}

3^{2 x} = 2

3^{3 x - 7} = \frac{1}{81}

3 6^{2 x + 5} = 6^{3 x + 1}

so l v e f or x, e^{x y} - y^{2} = e - 4