(1/2)^x=0.9

Lösung

(\frac{1}{2})^{x} = 0.9

x = - \frac{ln ( 0.9 )}{ln ( 2 )}

Dezimale

x = 0.15200 \dots

Schritte zur Lösung

(\frac{1}{2})^{x} = 0.9

Wende Exponentenregel an

x ln (\frac{1}{2}) = ln (0.9)

Löse

x ln (\frac{1}{2}) = ln (0.9) : x = - \frac{ln ( 0.9 )}{ln ( 2 )}

x = - \frac{ln ( 0.9 )}{ln ( 2 )}

2^{2 x + 1} = 4^{x} + 64

e^{x} - 3 = 0

40 e^{0.6 x} - 3 = 237

5^{x - 2} = 8

21 6^{m} = 36