2^{x^2+3x-10}=256

Lösung

2^{x^{2} + 3 x - 10} = 256

x = 3, x = - 6

Schritte zur Lösung

2^{x^{2} + 3 x - 10} = 256

Wende Exponentenregel an

x^{2} + 3 x - 10 = 8

Löse

x^{2} + 3 x - 10 = 8 : x = 3, x = - 6

x = 3, x = - 6

4^{3 x} = 2^{2 x - 8}

3^{x - 1} = 81

6 4^{x} = 0.5

7^{2 x + 1} - 2 \cdot 7^{x + 1} + 7 = 0

5^{2 x} - 30 (5^{x}) + 125 = 0