5^{x-2}=11.18

Lösung

5^{x - 2} = 11.18

x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2

Dezimale

x = 3.49998 \dots

Schritte zur Lösung

5^{x - 2} = 11.18

Wende Exponentenregel an

(x - 2) ln (5) = ln (11.18)

Löse

(x - 2) ln (5) = ln (11.18) : x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2

x = \frac{ln ( 11.18 )}{ln ( 5 )} + 2