1/6 =(1/2)^x

Lösung

\frac{1}{6} = (\frac{1}{2})^{x}

x = \frac{ln ( 6 )}{ln ( 2 )}

Dezimale

x = 2.58496 \dots

Schritte zur Lösung

\frac{1}{6} = (\frac{1}{2})^{x}

Wende Exponentenregel an

ln (\frac{1}{6}) = x ln (\frac{1}{2})

Löse

ln (\frac{1}{6}) = x ln (\frac{1}{2}) : x = \frac{ln ( 6 )}{ln ( 2 )}

x = \frac{ln ( 6 )}{ln ( 2 )}

3^{4 x - 4} = 81

8^{0.4 x} = 5

4 9^{x + 1} = (\frac{1}{7})^{x}

e^{x + 1} - 2^{3 - x} = 0

91500 = 100000 - 272000 (\frac{1}{2})^{x}