0.25e^{7x-4}=0.2e^{2x+5}

Lösung

0.25 e^{7 x - 4} = 0.2 e^{2 x + 5}

x = \frac{9 + ln ( 0.2 ) - ln ( 0.25 )}{5}

Dezimale

x = 1.75537 \dots

Schritte zur Lösung

0.25 e^{7 x - 4} = 0.2 e^{2 x + 5}

Wende Exponentenregel an

ln (0.25) + 7 x - 4 = ln (0.2) + 2 x + 5

Löse

ln (0.25) + 7 x - 4 = ln (0.2) + 2 x + 5 : x = \frac{9 + ln ( 0.2 ) - ln ( 0.25 )}{5}

x = \frac{9 + ln ( 0.2 ) - ln ( 0.25 )}{5}

1 0^{x} = 1200

- 1 = - 2^{x}

\frac{100}{1 + e ^{- x}} = 4

\frac{100}{1 + e ^{- x}} = 2

5 \cdot 1 0^{x + 2} = 5000