0.5^{(9900)/x}=30

Lösung

0. 5^{\frac{9900}{x}} = 30

x = \frac{9900 ln ( 0.5 )}{ln ( 30 )}

Dezimale

x = - 2017.57096 \dots

Schritte zur Lösung

0. 5^{\frac{9900}{x}} = 30

Wende Exponentenregel an

\frac{9900}{x} ln (0.5) = ln (30)

Löse

\frac{9900}{x} ln (0.5) = ln (30) : x = \frac{9900 ln ( 0.5 )}{ln ( 30 )}

x = \frac{9900 ln ( 0.5 )}{ln ( 30 )}

3 \cdot 5^{(x + 1)} = 7 \cdot 4^{x}

3^{4 x} = 2 7^{x + 3}

4^{5 x - 2} = \frac{1}{4 ^{6}}

- 3.3 \cdot 1 7^{- 4 v} = - 78

3^{x} + 3^{x + 1} - 36 = 0