de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Algebra >

ln(5x)=2x-1

Lösung

ln (5 x) = 2 x - 1

Lösung

x = - \frac{W _{- 1} ( - \frac{2}{5 e} )}{2}, x = - \frac{W _{0} ( - \frac{2}{5 e} )}{2}

+1

Dezimale

x = 1.51115 \dots, x = 0.08767 \dots

Schritte zur Lösung

ln (5 x) = 2 x - 1

Wenn

f (x) = g (x),

dann

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

e^{l n (5 x)} = e^{2 x - 1}

Vereinfache

e^{l n (5 x)} : 5 x

5 x = e^{2 x - 1}

Löse

5 x = e^{2 x - 1} : x = - \frac{W _{- 1} ( - \frac{2}{5 e} )}{2}, x = - \frac{W _{0} ( - \frac{2}{5 e} )}{2}

x = - \frac{W _{- 1} ( - \frac{2}{5 e} )}{2}, x = - \frac{W _{0} ( - \frac{2}{5 e} )}{2}

Überprüfe die Lösungen:

x = - \frac{W _{- 1} ( - \frac{2}{5 e} )}{2}

Wahr

, x = - \frac{W _{0} ( - \frac{2}{5 e} )}{2}

Wahr

Die Lösungen sind

x = - \frac{W _{- 1} ( - \frac{2}{5 e} )}{2}, x = - \frac{W _{0} ( - \frac{2}{5 e} )}{2}

Graph

Beliebte Beispiele

log_{5}(2x-7)=2

lo g_{5} (2 x - 7) = 2

log_{3}(x-12)=2

lo g_{3} (x - 12) = 2

log_{4}(5y+6)=2^2

lo g_{4} (5 y + 6) = 2^{2}

log_{x-2}(4-x)=2

lo g_{x - 2} (4 - x) = 2

lo g_{7} (x^{4}) = 2