(2e)^{(x^2-2)}=4

Lösung

(2 e)^{(x^{2} - 2)} = 4

x = \frac{2 ln ( 2 )}{ln ( 2 e )} + 2, x = - \frac{2 ln ( 2 )}{ln ( 2 e )} + 2

Dezimale

x = 1.67891 \dots, x = - 1.67891 \dots

Schritte zur Lösung

(2 e)^{(x^{2} - 2)} = 4

Wende Exponentenregel an

(x^{2} - 2) ln (2 e) = ln (4)

Löse

(x^{2} - 2) ln (2 e) = ln (4) : x = \frac{2 ln ( 2 )}{ln ( 2 e )} + 2, x = - \frac{2 ln ( 2 )}{ln ( 2 e )} + 2

x = \frac{2 ln ( 2 )}{ln ( 2 e )} + 2, x = - \frac{2 ln ( 2 )}{ln ( 2 e )} + 2

- 4 \cdot 3^{6 w} = - 1750

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

\frac{( 2 ^{x} - 2 ^{- x} )}{3} = 4

e^{6 x} = e^{2 x + 1}

1 0^{2 - 3 x} = 1 0^{5 x - 6}