2^{n^2}=2^{n+6}

Lösung

2^{n^{2}} = 2^{n + 6}

n = 3, n = - 2

Schritte zur Lösung

2^{n^{2}} = 2^{n + 6}

Wende Exponentenregel an

n^{2} = n + 6

Löse

n^{2} = n + 6 : n = 3, n = - 2

n = 3, n = - 2

e^{6 x} - 6 e^{3 x} + 6 = 0

3^{s} = 27

m^{2} e^{m x} + m e^{m x} - 6 e^{m x} = 0

7^{4 x + 3} = 21

(100)^{x} = 1