5^{2x-4}=3

Lösung

5^{2 x - 4} = 3

x = \frac{ln ( 1875 )}{2 ln ( 5 )}

Dezimale

x = 2.34130 \dots

Schritte zur Lösung

5^{2 x - 4} = 3

Wende Exponentenregel an

(2 x - 4) ln (5) = ln (3)

Löse

(2 x - 4) ln (5) = ln (3) : x = \frac{ln ( 1875 )}{2 ln ( 5 )}

x = \frac{ln ( 1875 )}{2 ln ( 5 )}