(1.07)^x=2

Lösung

(1.07)^{x} = 2

x = \frac{ln ( 2 )}{ln ( 1.07 )}

Dezimale

x = 10.24476 \dots

Schritte zur Lösung

(1.07)^{x} = 2

Wende Exponentenregel an

x ln (1.07) = ln (2)

Löse

x ln (1.07) = ln (2) : x = \frac{ln ( 2 )}{ln ( 1.07 )}

x = \frac{ln ( 2 )}{ln ( 1.07 )}

5 + e^{q} = - \frac{q}{2} + 2

5600000 = (1.2)^{t} \cdot 800000

3 = 3^{x}

3 (9^{x}) - 26 (3^{x}) - 9 = 0

3^{2 x - 3} = 27 \frac{x + 1}{3}