(2/3)^x=8

Lösung

(\frac{2}{3})^{x} = 8

x = \frac{3 ln ( 2 )}{ln ( \frac{2}{3} )}

Dezimale

x = - 5.12853 \dots

Schritte zur Lösung

(\frac{2}{3})^{x} = 8

Wende Exponentenregel an

x ln (\frac{2}{3}) = ln (8)

Löse

x ln (\frac{2}{3}) = ln (8) : x = \frac{3 ln ( 2 )}{ln ( \frac{2}{3} )}

x = \frac{3 ln ( 2 )}{ln ( \frac{2}{3} )}

2^{2 x - 1} + 8 = 5 (2^{x})

e^{2 x} - 6 e^{x} - 7 = 0

2 5^{3 x + 1} = 81

2 = 1 0^{2 a}

6^{x} = e^{x + 1}