(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 )}

5^{2 x + 1} = 6 (5^{x}) - 1

3^{4 - x^{2}} = \frac{1}{9}

2 e^{x} = 1

2^{- m} = 2^{3 m - 3}

5^{2 x} - 6 (5^{x}) + 5 = 0