4^{x^2-11x+30}=16

Lösung

4^{x^{2} - 11 x + 30} = 16

x = 7, x = 4

Schritte zur Lösung

4^{x^{2} - 11 x + 30} = 16

Wende Exponentenregel an

x^{2} - 11 x + 30 = 2

Löse

x^{2} - 11 x + 30 = 2 : x = 7, x = 4

x = 7, x = 4

2 e^{t} = 75

4^{x} - 6 (2^{x}) + 8 = 0

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

ln (2 + e^{- x}) = 2

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