2=(1.07)^x

Lösung

2 = (1.07)^{x}

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

Dezimale

x = 10.24476 \dots

Schritte zur Lösung

2 = (1.07)^{x}

Wende Exponentenregel an

ln (2) = x ln (1.07)

Löse

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

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

6^{2 x + 1} = 216

12 5^{3 x + 7} = 2 5^{5 x - 11}

3^{2 x} = \frac{1}{9}

2 \cdot 3^{x} + 5 \cdot 3^{x} - 3^{x} = 6

64 e^{8 x} x^{2} + 32 e^{8 x} x + 2 e^{8 x} = 0