In Lambert W Function How would i simplify x = − ((W(((−ln(4))/8)))/(ln(4))) To get the values


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Question Number 39689 by Cheyboy last updated on 09/Jul/18

$I n L a m b e r t W F u n c t i o n$ $H o w w o u l d i s i m p l i f y$ $x = - \frac{W (\frac{- l n (4)}{8})}{l n (4)}$ $T o g e t t h e v a l u e s$
Commented by MrW3 last updated on 09/Jul/18

$Y o u c a n n o t r e a l l y s i m p l i f y f u r t h e r .$ $C e r t a i n l y y o u c a n w r i t e$ $x = - \frac{W (\frac{- l n (2)}{4})}{2 l n (2)}$ $b u t t h i s {d o e s n}^{'} t r e a l l y h e l p y o u .$ $T o g e t t h e v a l u e s o f x, y o u j u s t n e e d$ $t o d e t e r m i n e W (- \frac{\ln 2}{4}) w h i c h i s$ $- 0.2148 o r - 2.7726 .$ $\Rightarrow x = - \frac{- 0.2148}{2 \ln 2} = 0.1549 o r$ $\Rightarrow x = - \frac{- 2.7726}{2 \ln 2} = 2$ $I f y o u h a v e l u c k, y o u m a y f i n d a n$ $o n l i n e c a l c u l a t o r f o r L a m b e r t f u n c t i o n .$
Commented by Cheyboy last updated on 09/Jul/18

$T h a n k y o u s i r, I t h o u g h t h e i r i s$ $a w a y t o s i m p l i f y f u r t h e r . .$ $I w i l l t r y a n s e e w h e t h e r i c a n$ $a c c e s s i t$
	Answered by Cheyboy last updated on 09/Jul/18

	$S i r W 3 u r h e l p i s n e e d e d c u z y o u$ $u s u a l l y a t t e p t r e l a t e d q u e s t i o n$
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