5^{x+1}=8^{x-1}

Lösung

5^{x + 1} = 8^{x - 1}

x = \frac{ln ( 40 )}{3 ln ( 2 ) - ln ( 5 )}

Dezimale

x = 7.84861 \dots

Schritte zur Lösung

5^{x + 1} = 8^{x - 1}

Wende Exponentenregel an

(x + 1) ln (5) = (x - 1) ln (8)

Löse

(x + 1) ln (5) = (x - 1) ln (8) : x = \frac{ln ( 40 )}{3 ln ( 2 ) - ln ( 5 )}

x = \frac{ln ( 40 )}{3 ln ( 2 ) - ln ( 5 )}