6^{1/2 x}=10

Lösung

6^{\frac{1}{2} x} = 10

x = \frac{2 ln ( 10 )}{ln ( 6 )}

Dezimale

x = 2.57019 \dots

Schritte zur Lösung

6^{\frac{1}{2} x} = 10

Wende Exponentenregel an

\frac{1}{2} x ln (6) = ln (10)

Löse

\frac{1}{2} x ln (6) = ln (10) : x = \frac{2 ln ( 10 )}{ln ( 6 )}

x = \frac{2 ln ( 10 )}{ln ( 6 )}