38.5^x=6.5^{(x-2)}

Lösung

38. 5^{x} = 6. 5^{(x - 2)}

x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

Dezimale

x = - 2.10450 \dots

Schritte zur Lösung

38. 5^{x} = 6. 5^{(x - 2)}

Wende Exponentenregel an

x ln (38.5) = (x - 2) ln (6.5)

Löse

x ln (38.5) = (x - 2) ln (6.5) : x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

x = - \frac{2 ln ( 6.5 )}{ln ( 38.5 ) - ln ( 6.5 )}

(- 2)^{3^{2}} - (- 2)^{2^{x}} = 0

3^{2 (x - 1)} = 2^{x - 3}

51 e^{x} = 510

9^{x + 3} = 24 3^{3 - x}

4 e^{x} = 18