3^{x^2-5}=81

Lösung

3^{x^{2} - 5} = 81

x = 3, x = - 3

Schritte zur Lösung

3^{x^{2} - 5} = 81

Wende Exponentenregel an

x^{2} - 5 = 4

Löse

x^{2} - 5 = 4 : x = 3, x = - 3

x = 3, x = - 3

10 0^{3 x - 3} = 1 0^{4 x - 9}

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

2^{5 x} = 7

4^{x} = 0.25

4^{2 x} = 3^{x + 1}