3^{x/4}=2

Lösung

3^{\frac{x}{4}} = 2

x = \frac{4 ln ( 2 )}{ln ( 3 )}

Dezimale

x = 2.52371 \dots

Schritte zur Lösung

3^{\frac{x}{4}} = 2

Wende Exponentenregel an

\frac{x}{4} ln (3) = ln (2)

Löse

\frac{x}{4} ln (3) = ln (2) : x = \frac{4 ln ( 2 )}{ln ( 3 )}

x = \frac{4 ln ( 2 )}{ln ( 3 )}