x^{((0.72)/((x-1)))}=2

Lösung

x^{(\frac{0.72}{( x - 1 )})} = 2

x = - \frac{18 W _{- 1} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}, x = - \frac{18 W _{0} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}

Dezimale

x = 1.07846 \dots, x = 1

Schritte zur Lösung

x^{(\frac{0.72}{( x - 1 )})} = 2

Wende Exponentenregel an

\frac{0.72}{x - 1} ln (x) = ln (2)

Löse

\frac{0.72}{x - 1} ln (x) = ln (2) : x = - \frac{18 W _{- 1} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}, x = - \frac{18 W _{0} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}

x = - \frac{18 W _{- 1} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}, x = - \frac{18 W _{0} ( - \frac{25 l n ( 2 )}{18 e ^{\frac{25 l n ( 2 )}{18}}} )}{25 ln ( 2 )}

3^{x^{3}} = 24 3^{3}

- e^{- \frac{k}{4}} = 0.05 + 1

2 7^{x^{2}} - 2. 3^{2 x^{2}} = 567

2 5^{- x} = 125

9^{x} = 3^{2 x}