Question and Answers Forum

All Questions      Topic List

Others Questions

Previous in All Question      Next in All Question      

Previous in Others      Next in Others      

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

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

$${In}\:{Lambert}\:{W}\:{Function} \\ $$$$ \\ $$$${How}\:{would}\:{i}\:{simplify} \\ $$$$ \\ $$$${x}\:=\:−\:\frac{{W}\left(\frac{−{ln}\left(\mathrm{4}\right)}{\mathrm{8}}\right)}{{ln}\left(\mathrm{4}\right)} \\ $$$${To}\:{get}\:{the}\:{values} \\ $$$$ \\ $$

Commented by MrW3 last updated on 09/Jul/18

You can not really simplify further.  Certainly you can write  x = − ((W(((−ln(2))/4)))/(2 ln(2)))  but this doesn′t really help you.  To get the values of x, you just need  to determine W(−((ln 2)/4)) which is  −0.2148 or −2.7726.   ⇒x=−((−0.2148)/(2 ln 2))=0.1549 or  ⇒x=−((−2.7726)/(2 ln 2))=2  If you have luck, you may find an  online calculator for Lambert function.

$${You}\:{can}\:{not}\:{really}\:{simplify}\:{further}. \\ $$$${Certainly}\:{you}\:{can}\:{write} \\ $$$${x}\:=\:−\:\frac{{W}\left(\frac{−{ln}\left(\mathrm{2}\right)}{\mathrm{4}}\right)}{\mathrm{2}\:{ln}\left(\mathrm{2}\right)} \\ $$$${but}\:{this}\:{doesn}'{t}\:{really}\:{help}\:{you}. \\ $$$${To}\:{get}\:{the}\:{values}\:{of}\:{x},\:{you}\:{just}\:{need} \\ $$$${to}\:{determine}\:{W}\left(−\frac{\mathrm{ln}\:\mathrm{2}}{\mathrm{4}}\right)\:{which}\:{is} \\ $$$$−\mathrm{0}.\mathrm{2148}\:{or}\:−\mathrm{2}.\mathrm{7726}.\: \\ $$$$\Rightarrow{x}=−\frac{−\mathrm{0}.\mathrm{2148}}{\mathrm{2}\:\mathrm{ln}\:\mathrm{2}}=\mathrm{0}.\mathrm{1549}\:{or} \\ $$$$\Rightarrow{x}=−\frac{−\mathrm{2}.\mathrm{7726}}{\mathrm{2}\:\mathrm{ln}\:\mathrm{2}}=\mathrm{2} \\ $$$${If}\:{you}\:{have}\:{luck},\:{you}\:{may}\:{find}\:{an} \\ $$$${online}\:{calculator}\:{for}\:{Lambert}\:{function}. \\ $$

Commented by Cheyboy last updated on 09/Jul/18

Thank you sir, I though their is  a way to simplify further..  I will try an see whether i can  access it

$${Thank}\:{you}\:{sir},\:{I}\:{though}\:{their}\:{is} \\ $$$${a}\:{way}\:{to}\:{simplify}\:{further}.. \\ $$$${I}\:{will}\:{try}\:{an}\:{see}\:{whether}\:{i}\:{can} \\ $$$${access}\:{it} \\ $$$$ \\ $$$$ \\ $$$$ \\ $$

Answered by Cheyboy last updated on 09/Jul/18

Sir W3 ur help is needed cuz you  usually attept related question

$${Sir}\:{W}\mathrm{3}\:{ur}\:{help}\:{is}\:{needed}\:{cuz}\:{you} \\ $$$${usually}\:{attept}\:{related}\:{question} \\ $$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com