(0.5)^{(x/(4.5))}=0.1

Lösung

(0.5)^{(\frac{x}{4.5})} = 0.1

x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

Dezimale

x = 14.94867 \dots

Schritte zur Lösung

(0.5)^{(\frac{x}{4.5})} = 0.1

Wende Exponentenregel an

\frac{x}{4.5} ln (0.5) = ln (0.1)

Löse

\frac{x}{4.5} ln (0.5) = ln (0.1) : x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

e^{9 x} = 5

8^{- 3 x} = \frac{1}{4}

10 = e^{x}

2^{0.6 x} - 3 = 0

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