(0.5)^{((9900)/x)}=0.3

Lösung

(0.5)^{(\frac{9900}{x})} = 0.3

x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

Dezimale

x = 5699.59476 \dots

Schritte zur Lösung

(0.5)^{(\frac{9900}{x})} = 0.3

Wende Exponentenregel an

\frac{9900}{x} ln (0.5) = ln (0.3)

Löse

\frac{9900}{x} ln (0.5) = ln (0.3) : x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

\frac{2}{3 ^{x - 5}} = 162

7^{2 x + 1} = 3^{x + 2}

e^{6 x} = 6 e^{x}

so l v e f or t, x = e^{- t}

3^{x} \cdot 3^{x + 1} = 9