3^{x/(14)}=0.1

Lösung

3^{\frac{x}{14}} = 0.1

x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

Dezimale

x = - 29.34264 \dots

Schritte zur Lösung

3^{\frac{x}{14}} = 0.1

Wende Exponentenregel an

\frac{x}{14} ln (3) = ln (0.1)

Löse

\frac{x}{14} ln (3) = ln (0.1) : x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

x = \frac{14 ln ( 0.1 )}{ln ( 3 )}

1 6^{r - 2} = 6 4^{r + 2}

e^{2 x} + 2 e^{x} - 24 = 0

5^{3 x + 1} = - 5

3^{2 x} = 9^{5 x - 4}

4^{x + 1} - 9 (2)^{x} = - 2