In-Lambert-W-Function-How-would-i-simplify-x-W-ln-4-8-ln-4-To-get-the-values-

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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