Find X (Lambert W Function - application)

In this Video I am going to show you how to apply the Lambert W Function. I am explaining the basic tool when it comes to application of the Lambert W Function. Watching this Video you will be ably to recognize and solve some basic problems using the Lambert W Function.

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[jannowak]

Zostawiłem subskrypcję. Twój kanał to dla mnie wielkie odkrycie. Wszystko fajnie wyjaśniasz. Dziękuję za twoje filmy.

[oahuhawaii]

Upon inspection, it is obvious that x = -2 is a solution.

[joeferreira-qriq]

i believe the domain of the W lambert must be > -1/e, but -2ln2 < -1/e so there is a conflict here, unless I am wrong

[purim_sakamoto]

とてもわかりやすかったです
W関数は便利すぎて楽しいです
あとそのガウス関数からも目が離せませんでした

[mogatawinter]

Which area of mathematics introduces the Lambert function? I'd like to learn more about it, seems facinating.

[natealbatros]

Wouldn't-2 be a solution as well?

[adeos]

Nice vid, I just found the channel and like it :D

[apolloniuspergus]

You sound like a brazilian. Pretty cool.

[TaufiqPipik-nzns]

Beautiful and smart teacher, if possible the blackboard is not clear. 🙏🙏 Thank You

[jerichorhodesalambatin]

Hi. Can lambert function be solved using a scientific calculator?

[invictus]

The calculator shows W(ln(1/4)) equal to -0.088667 + 1.512230i. So, is e^(-0.08867 + 1.512230i) an actual solution?

[moisesgastiaburunakada]

Very clear your explanation, I enjoy your channel. Could you please help me to solve this equation:
1/x = e^x(1+e^x)

[ianrobinson]

The solution can also be found by first taking the xth root of both sides. This leads to the equivalent solution of a/W(a) where a = -2ln(2)

[SebastienPatriote]

Just discovered you!! Very cool videos!

[RileyGallagher-cerq]

You could also simplify the answer to -2ln(2) / W(-2ln(2)) and/or change -2ln(2) to -2ln(±2), which can give you both the solution in the video and -2, which is also correct.

[juliendodet]

Lambert's function W0 is defined for x>-1/e. ln(1/4) is outside the definition range.

[doltifantara]

isnt x^a on graphical calculator confusing IE unknown with fractional exponents i studied at differing levels on desmos there are scale based patterns strange usually people think scale is precision but if one looked at scale aspects the quadrant graph occupancy behaviours have different patterns i dont think its been analysed

[Montegasppa]

How to get to the -2, since (-2)^(-2) = 1/4?

[Paul-]

I’m new to the game here, but I agree with the viewers who pointed out that x = -2 is the real solution. I was surprised that Desmos only graphed x^x for x >= 0, however.

The free Wolfram Alpha won’t solve W for me; it just rearranges the log term instead of calculating the complex result.

[tchatchouaambroiserodrique]

Thanks but how to get the value of X in the calculator 🙏🙏🙏