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Beliebt Algebra >

ln(1-4x)=-5.6x

Lösung

ln (1 - 4 x) = - 5.6 x

Lösung

x = \frac{4 W _{- 1} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}, x = \frac{4 W _{0} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

+1

Dezimale

x = 0, x = 0.12775 \dots

Schritte zur Lösung

ln (1 - 4 x) = - 5.6 x

Wenn

f (x) = g (x),

dann

a^{f (x)} = a^{g (x)}

e^{l n (1 - 4 x)} = e^{- 5.6 x}

Vereinfache

e^{l n (1 - 4 x)} : 1 - 4 x

1 - 4 x = e^{- 5.6 x}

Löse

1 - 4 x = e^{- 5.6 x} : x = \frac{4 W _{- 1} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}, x = \frac{4 W _{0} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

x = \frac{4 W _{- 1} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}, x = \frac{4 W _{0} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

Überprüfe die Lösungen:

x = \frac{4 W _{- 1} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

Wahr

, x = \frac{4 W _{0} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

Wahr

Die Lösungen sind

x = \frac{4 W _{- 1} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}, x = \frac{4 W _{0} ( - \frac{7}{5 e ^{\frac{39.2}{28}}} ) + 5.6}{22.4}

Graph

Beliebte Beispiele

ln(7-x)+ln(3x+5)=ln(24x)

ln (7 - x) + ln (3 x + 5) = ln (24 x)

-log_{10}(x)=4.19

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