10^{x/2}=83

Lösung

1 0^{\frac{x}{2}} = 83

x = \frac{2 ln ( 83 )}{ln ( 10 )}

Dezimale

x = 3.83815 \dots

Schritte zur Lösung

1 0^{\frac{x}{2}} = 83

Wende Exponentenregel an

\frac{x}{2} ln (10) = ln (83)

Löse

\frac{x}{2} ln (10) = ln (83) : x = \frac{2 ln ( 83 )}{ln ( 10 )}

x = \frac{2 ln ( 83 )}{ln ( 10 )}