\sqrt[x]{x}=sqrt(0.5)

Lösung

x x = 0.5

x = - \frac{2 W _{0} ( - \frac{l n ( 0.5 )}{2} )}{ln ( 0.5 )}

Dezimale

x = 0.76666 \dots

Schritte zur Lösung

x x = 0.5

Wende Exponentenregel an

\frac{1}{x} ln (x) = \frac{1}{2} ln (0.5)

Löse

\frac{1}{x} ln (x) = \frac{1}{2} ln (0.5) : x = - \frac{2 W _{0} ( - \frac{l n ( 0.5 )}{2} )}{ln ( 0.5 )}

x = - \frac{2 W _{0} ( - \frac{l n ( 0.5 )}{2} )}{ln ( 0.5 )}

9^{x} - 4 (3^{x}) + 3 = 0

e^{x} + 12 e^{- x} - 7 = 0

1 6^{2 x} = 8^{x - 1}

100 = \frac{300}{1 + e ^{4 - t}}

8^{x} = 4^{x + 1}