e^{(x^2-16)}=20

Lösung

e^{(x^{2} - 16)} = 20

x = ln (20) + 16, x = - ln (20) + 16

Dezimale

x = 4.35840 \dots, x = - 4.35840 \dots

Schritte zur Lösung

e^{(x^{2} - 16)} = 20

Wende Exponentenregel an

x^{2} - 16 = ln (20)

Löse

x^{2} - 16 = ln (20) : x = ln (20) + 16, x = - ln (20) + 16

x = ln (20) + 16, x = - ln (20) + 16

e^{x} = 100

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

6^{2 x} - 6^{x} - 30 = 0

2. 5^{x - 3} = 6.25

(e^{5})^{3 x} = e^{5} e^{3 x}