How To Solve Exponential Equation x^5=9^x || Solving Exponential Equations.

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  • Опубліковано 1 січ 2025

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  • @RafaelJDiaz-uy1cs
    @RafaelJDiaz-uy1cs Рік тому +30

    Love the clever way to solve problem. However, the solution’s argument for the W Lambert function (-Ln (9)/5) is outside the domain of such function [-1/e, ∞). The curve X^5 - 9^x does not intersect the X axis, the closest value (y=-0.345) occurs when x=0.589.

    • @AnhAnh-w9d
      @AnhAnh-w9d 11 місяців тому

      2222232-81=
      000000032
      -49

    • @slobodanjergic5257
      @slobodanjergic5257 11 місяців тому +4

      Rafael is absolutely right - given that (-ln(9/5) < -1/e, the conclusion of this exercise should have been to prove at the end that there are no real solutions to above given equation. In relation to that, It would have been useful to theoretically explain this outcome by sketching W(x) function and concentrating particularly on the meaning of the point -1/e in order to understand the concept behind the proof.

    • @oliveirafilipe5416
      @oliveirafilipe5416 8 місяців тому +1

      A complex solution is still a solution!!!

  • @siddhantsuthar2342
    @siddhantsuthar2342 Рік тому +19

    I am a math student(pursuing under graduate degree in India) from india and i just watched your video by UA-cam suggestion and I like you way to solving problem with explain in very eazy language and I like it thank you please made more videos like this for improving students mathematical knowledge. Thank you🎉❤

  • @mo2926
    @mo2926 Рік тому +50

    The domain of the W function of a real number is [-1/e, ∞). The argument (-ln 9)/5 is less than -1/e. Consequently, W((-ln 9)/5) does not have a real number value. The two curves do not intersect in the real number plane, as can be confirmed by plotting them using the online graphing app Desmos.

    • @syedmdabid7191
      @syedmdabid7191 Рік тому +4

      - ln9/5 is greater than --1/e because the interval semi close interval.. So, -- 1/ e is real. Negative number is real, not imaginary.

    • @SalmanAkhtar1
      @SalmanAkhtar1 Рік тому

      -0.881024 + 0.59038 i. Is the approximate answer to the Lambert W function.

    • @СтаниславБыцунь
      @СтаниславБыцунь Рік тому

      @@syedmdabid7191
      Product logarithm is multivalued function in real number.
      W0: [-1/e, ∞) -> Real number
      W1: [-1/e, ∞) -> Real number
      Dom W= [-1/e, ∞)
      3 > e > 2.5
      ln x ↗
      ln 9 > ln (e²) = 2 >5/e
      (ln 9)/5 > 1/e
      -(ln 9)/5 < -1/e
      -(ln 9)/5 ∉ [-1/e, ∞)
      W [-(ln 9)/5] ∉ Real number
      => The solution can only be in complex numbers; there is no solution in real numbers.

    • @ThatobjectArtist
      @ThatobjectArtist 11 місяців тому

      Oh but you see, there actually are multiple branches of the lambert function, spanning the entire complex plane and real line :>

    • @ThatobjectArtist
      @ThatobjectArtist 11 місяців тому

      Oh but you see, there actually are multiple branches of the lambert function, spanning the entire complex plane and real line :>

  • @harimanharahap5102
    @harimanharahap5102 Рік тому +3

    Its first time I saw the lambert W Function, when I study Calculus I and II, my lecture never taught this Lambert W Functions. I'm very blinde about this them... Please make more video especially about this Lambert W Functions. For your respect, thanks very much.

  • @КатяРыбакова-ш2д

    Thank you very much, professor. This was the first time I saw the Lambert function used to solve an equation. This is amazing! And it's nice to learn new things!

  • @MDCSONE
    @MDCSONE Рік тому +11

    Lambert function😮 is new for me.

  • @OsorioAlberto02
    @OsorioAlberto02 Місяць тому

    Thank you teacher you are so good for math.

  • @climbeverest
    @climbeverest Рік тому +15

    Incredible professor, thanks

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +3

      You are most welcome sir.
      And thank you for thanking us and appreciating our little effort sir.
      We all here love you ❤️❤️💕💕💖💖

  • @UKPEINDANIELU.
    @UKPEINDANIELU. 7 місяців тому +1

    Nice solution

  • @HarinathPitta
    @HarinathPitta 5 місяців тому

    You are really great mathematics and very good you are great preacher

  • @КатяРыбакова-ш2д

    Спасибо, профессор, Вы великолепны!

  • @stuartyoung5728
    @stuartyoung5728 Рік тому +3

    I like wrapping my mind around these Olympiad problems. They are most cleverly put together. They're designed to make us think outside the box to come up with a simple, elegant approach to the problem at hand.

  • @Cricketdoctor_1999
    @Cricketdoctor_1999 8 місяців тому +1

    love from sri lanka....😍

  • @dianedong1062
    @dianedong1062 Рік тому +4

    I first came accross this type of problem when I was trying to answer a question regarding compound interest vs simple interest : ax = b^x where "a" and "b" are known quantities.

  • @akosuke
    @akosuke Рік тому +1

    You really love math and teaching!!!

  • @AbhishikthOthuri
    @AbhishikthOthuri Рік тому

    🎉well said sir

  • @opulence3222
    @opulence3222 Рік тому

    This is great approach master. I love this, and i have learnt some thing new sir. Thanks master 🎉🎉❤❤

  • @EzechiSpecial-ih9st
    @EzechiSpecial-ih9st 7 місяців тому +1

    Nice
    🎉🎉🎉🎉

  • @robertriachi6396
    @robertriachi6396 Рік тому +10

    Hy.
    This equation don't have real solution.
    The graphic of f(x)=x^5-9^× is strictly negative. Tx

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      Bravo👍👍👍
      You are the master here because you are good at what you do🙏🙏🙏
      Respect👌👌👌

  • @souzasilva5471
    @souzasilva5471 Рік тому +98

    Professor, what does W mean in solving multiple equations?

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +60

      Lambert function

    • @조광일-h5i
      @조광일-h5i Рік тому +17

      답이 없는 문제임.엉터리 해법

    • @태권정-z8y
      @태권정-z8y Рік тому +48

      @@조광일-h5i 본인이 모르면 답이 없는 것인가요? lambert function이라고 위에 답을 주었는데도 인터넷도 한 번 안 찾아보고 엉터리라고 말하다니..같은 한국인인 제가 부끄럽네요.

    • @mr_rocketluckit5294
      @mr_rocketluckit5294 Рік тому

      ​@@조광일-h5i학무위키라도 읽어라

    • @uggupuggu
      @uggupuggu Рік тому

      @@태권정-z8yㅋㅋㅋㅋ 바보야

  • @mijanlecturer8788
    @mijanlecturer8788 Рік тому

    very good algebric problem

  • @alibahrami6810
    @alibahrami6810 Рік тому +5

    I never went to olympiad. but as sweet you solve this, I really enjoy and occuping with it. Many thanks dear bro!

  • @pranavpathak1459
    @pranavpathak1459 Рік тому

    Great work.From India.

  • @LenkaiEzekiel
    @LenkaiEzekiel Рік тому +5

    Great Lambert function (W)

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks for watching and commenting sir.
      Much love from all of us @onlinemathstv to you sir 💕💕💖💖🙏🙏.

  • @blueray7176
    @blueray7176 Рік тому +2

    Brilliant work again thanks so much teacher

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks for the encouragement sir.
      Much love

  • @georgeh1352
    @georgeh1352 Рік тому +1

    I didn't get past the 2nd line, you're good Sir, very good.

  • @OnosuethaJamesJeremiah
    @OnosuethaJamesJeremiah Рік тому

    great approach but.....😍😍😍😍😍😍

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      What's wrong with the content sir? We are very open to corrections and criticism.

  • @glasssmirror2314
    @glasssmirror2314 4 місяці тому

    Hi sir
    Please I need to understand as to how you immediately introduced logs on this without first tackling in normal way as others in this class.

  • @edmilsonpoliveira2646
    @edmilsonpoliveira2646 Рік тому

    very good

  • @manoelgeorge4284
    @manoelgeorge4284 Рік тому +1

    Incrível!

  • @RatkoDinic-w8y
    @RatkoDinic-w8y Рік тому +2

    Aproksimativno resenje je kompleksan broj x=2.004857+i×1.584805

  • @theupson
    @theupson Рік тому +6

    i attempted another solution using the same reasoning:
    define W: W^5 = 9^W. x=W QED

  • @kumarsuppaiya9539
    @kumarsuppaiya9539 Рік тому

    Nice explanation sir

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Many thanks to you for the acknowledgement sir.
      Much love from everyone @OnlinemathsTV ❤️❤️😍😍💕💕💖

  • @bakari3148
    @bakari3148 Рік тому +2

    I understood, THANKS A LOT

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      You are welcome, and we are glad u gained some values from this video tutorial sir.
      Much love 💖💖💖

  • @pandiyakumaransubramaniyan365
    @pandiyakumaransubramaniyan365 Рік тому +1

    Nice explanation professor thanks 🙏🙏🙏

  • @anotherelvis
    @anotherelvis Рік тому +10

    The equation has no solution in the real domain. You can check that by plotting a graph.
    You can try to solve the equation in the complex domain, but then you have to be careful with the logarithms.

    • @pureffm
      @pureffm Рік тому

      x = e^(2ln3/5) in the real plane

    • @심은택-m2l
      @심은택-m2l Рік тому +1

      @@pureffm But there is no intersection point between x = ye^(y) and x = (-2ln(3)/5)

  • @alfredodaidone3349
    @alfredodaidone3349 Рік тому +5

    Great! Thanks for the rigorous approach! Greetings from Italy!👍👍👍👏👏👏👏

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      You are most welcome sir, and thank you for watching our video tutorial and leaving a comment behind.
      We love 💖💖❤️❤️

    • @MdKamal-wt8xt
      @MdKamal-wt8xt Рік тому

      Sir,please express of W

  • @syedmdabid7191
    @syedmdabid7191 Рік тому +3

    So, what's is the numerical value of x that you sought now?

    • @payoo_2674
      @payoo_2674 Місяць тому

      x ≈ 2.0049 - 1.3435 i

  • @oliviacercel5742
    @oliviacercel5742 Рік тому +7

    Interesting exercise, rigorous approach...
    Thanks ! Congrats ! Keep it up ! Good luck with your work !

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      😍😍😍 Thanks so much for this wonderful comment you dropped here.

    • @zadabjlil2281
      @zadabjlil2281 Рік тому +1

      ​​@@onlineMathsTVut lambda ₩ 👍؟؟????🦧🦧

    • @johnback0007
      @johnback0007 Рік тому

      ​@@onlineMathsTVs this college level math? If so what class is it? I never seen this in high school

  • @GrammarGalaxy2-o1d
    @GrammarGalaxy2-o1d 10 місяців тому

    Nice sir

  • @jayantadas8259
    @jayantadas8259 Рік тому +1

    Please make more such videos on harder algebra.

  • @siddhantsuthar2342
    @siddhantsuthar2342 Рік тому +1

    But which exam contains like this type of questions please tell me because I want to know?,

  • @umhamid2003
    @umhamid2003 Рік тому +1

    Does the answer approve x^5= 9^× ?

  • @ShUXRATh
    @ShUXRATh Рік тому

    Спасибо учитель,я не понемаю твое слова,но понемаю твое решения задач,я блогадарень тебя,очень хочу с тобой обшатся,я из УЗБЕКИСТАНа,знешли ты такое государства

  • @庸懒
    @庸懒 Рік тому +6

    But the image of 9^x does not intersect with the image of x^5

  • @evertvanderhik5774
    @evertvanderhik5774 Рік тому

    Nice video

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks for watching and finding some values in our video sir.
      Much love master.

  • @Amansarkar700
    @Amansarkar700 Рік тому

    Thank you professor

  • @letstalkwithbigsheila
    @letstalkwithbigsheila Рік тому

    Good one

  • @syedmdabid7191
    @syedmdabid7191 Рік тому +5

    But how could you find the numerical value of W-n ( -- ln 9/5)??? For this, you must have to apply Newton Raphson method / graphic method.

    • @Anmol_Sinha
      @Anmol_Sinha Рік тому

      But won't it have multiple solutions? As the input is negative?

    • @ashwinm6509
      @ashwinm6509 Рік тому +1

      I'm pretty sure there is no solution to this equation since if u plot the curve of x^5 and 9^x, they don't have any intersecting points!

  • @averycleverman
    @averycleverman Рік тому +5

    I only watched the video because I couldn't solve it and I realised that it probably has no solution because the graphs of Y = x^5 and y = 9^x do not intersect. I thought I will be impressed if he can solve it and tell us the solution but he didn't give us any solution at all, he simply played with symbols. He should have been honest from the beginning and said this actually has no solution.

    • @WK-5775
      @WK-5775 Рік тому

      @averycleverman But fewer people would watch a video called "I cannot solve an equation that has no solutions."

    • @fortnitevideo7658
      @fortnitevideo7658 5 місяців тому

      Well it has no real solutions but It actually 5 imaginary solutions and this is one of them

    • @TheKnowledgeOfScience
      @TheKnowledgeOfScience 2 місяці тому

      17 years old account 😮woww that's great 👍 🎉

    • @payoo_2674
      @payoo_2674 Місяць тому

      There are no real solutions, but they are complex.

  • @gastonsolaril.237
    @gastonsolaril.237 Рік тому +1

    Just found that the general solution for "xᴬ = Bˣ" is:
    x = - W(ln ⁡b/a) / (ln ⁡b/a)
    Obviously I haven't really paid attention to W domain subjects.

  • @definitegoal4624
    @definitegoal4624 Рік тому +1

    so what is the value in decimal form? I want to substitute it to double check.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      You can get that from your Wolfram Alpha calculator sir.

    • @gerar2158
      @gerar2158 Рік тому

      La wolframalpha no da un valor numérico en es te caso

    • @payoo_2674
      @payoo_2674 Місяць тому

      @@gerar2158 claro que sirve: 2.0049 - 1.3435 i

  • @dusabimanaemmanuel2902
    @dusabimanaemmanuel2902 Рік тому +2

    The first time I understand the Lambert functions

  • @comdo777
    @comdo777 Рік тому +2

    asnwer=3 isit hmm no math matter like isit 😂🤣😆😅

  • @bobwineland9936
    @bobwineland9936 Рік тому +2

    What is the numerical value of W(-ln9/5? Which is the exponent of e?

    • @pureffm
      @pureffm Рік тому

      x = e^(2ln3/5) in the real plane

    • @payoo_2674
      @payoo_2674 Місяць тому

      W₀(-ln9/5) ≈ -0.88102 + 0.59038 i
      W₋₁(-ln9/5) ≈ -0.88102 - 0.59038 i
      W₁(-ln9/5) ≈ -2.9052 + 7.4837 i
      W₋₂(-ln9/5) ≈ -2.9052 - 7.4837 i
      ...

  • @Farxanyare99
    @Farxanyare99 Рік тому +1

    Great work, sir it was vey hard challenge, bt any way thanks.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      Thank you for watching and appreciating our small effort so far.
      We love you sir❤️❤️💕💕

  • @DanielSebastiao-p5w
    @DanielSebastiao-p5w Рік тому +1

    Teacher what does mean w in this equation?

  • @valerykolesnikov3724
    @valerykolesnikov3724 Рік тому +1

    So what is X in numerical values?

  • @padraiggluck2980
    @padraiggluck2980 Рік тому +2

    The domain of the Lambert_W function in R is all z s.t z >= -1/e but -ln(9)/5 < -1/e, therefore -ln(9)/5 is not a solution and the ‘equation’ has no solution. Graph x^5 and 9^x in Desmos ad you will see that they do not intersect.

    • @SCOrganisation
      @SCOrganisation Рік тому

      im really confused about this function , i saw that its defined on [-1/e,+oo[ so yhere is no solution , but my calculator shows there are two solutions, one of them is ~ -0.72 , and the other is complex

    • @padraiggluck2980
      @padraiggluck2980 Рік тому +1

      @@SCOrganisation Graph the two curves in Desmos. They do not intersect.

    • @SCOrganisation
      @SCOrganisation Рік тому +1

      @@padraiggluck2980 i know , i discovered that calculater makes mistakes here , -0.7 is not true at all , cuz (-0.7)⁵= -(9-⁰'⁷) ≠ 9-⁰'⁷ , but the complex solution is true , they actually do not intersect in real plane

    • @WK-5775
      @WK-5775 Рік тому

      ​@@SCOrganisationx=-0.72 can't be a solution, for x^50. I wouldn't trust that calculator.... The complex solution might be (approximately) correct, however.

    • @SCOrganisation
      @SCOrganisation Рік тому

      @@WK-5775 yes, when i tried to put x=-0.72 the two numbers were identical but in different signs, i use a calculator app and it is very strong, but i think it is an error in the app that it does not take the sign into account in complex (no relation to the complex numbers 😅) equations, but the other solution is correct 😁

  • @hamidhedayat9901
    @hamidhedayat9901 Рік тому +2

    Find the answer.not in Lambert function.

  • @octagonmixltd
    @octagonmixltd Рік тому +1

    Great! But inconclusive.

  • @brunobuzzacchi1108
    @brunobuzzacchi1108 Рік тому +1

    The Lambert function of a negative value (-log(9)/5 < 0 always) will result a not real value. So, there is no x € |R that satisfy x⁵ = 9^x.

  • @Rithida.Math2024
    @Rithida.Math2024 9 місяців тому

    Compute the Integral x^2024/(x^2+1)^2023 dx please.

  • @gibbogle
    @gibbogle Рік тому +5

    So what is x that solves the equation? Give us the value.
    Plotting f(x) = x^5 - 9^x I have satisfied myself that f(x) is always < 0, with the maximum of about -0.34 occurring near x = -0.6, i.e. there is no real solution to f(x) = 0.
    Am I wrong?

    • @wearron
      @wearron Рік тому +2

      no, you are correct. There is no real solution. But, for some equation of the "n^x = x^n" sort, it is very useful to keep the W in mind. There are infinite solutions in the complex plane, meaning there is no single solution( because the lambert function takes in a number for its power, but in this case the number is absent, meaning it can be anything from the real plane.)for the equation, rather a set of infinite ones. there is a total of 5 formulas for solutions, hence 5 infinite sets of solutions(not counting the lamber power). I can give you one right now, approx. 7.92822 -31.61131 i, where i=√-1.

  • @roden2208
    @roden2208 Рік тому +2

    Какой приятный парень.
    Но я не понял решения в конце - что за функцию он ввел, когда приравнял А на Е в степени А к просто А? Чему же равен Х? Что за функция в решении?

  • @alekseyseppar1379
    @alekseyseppar1379 Рік тому +1

    Dear professor! What is ld function?

  • @efmflee
    @efmflee Рік тому +1

    but what is the value of λ?

  • @nicogehren6566
    @nicogehren6566 Рік тому +1

    very nice approach

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Glad you liked it and thanks for watching and commenting sir.
      Much love 💖💖💕💕💕

  • @MsOZ79
    @MsOZ79 Рік тому +2

    Thank you for the video!! Turn my maths fear and anxiety earn in the past 15 years from a teacher I had…to an opening in mathematics again

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      Its a pleasure serving you in this regards and we are glad you gained some values from this video tutorial sir. We will do our best possible to serve you and others better in this endeavor.
      Maximum respect sir...🙋🙋

    • @MsOZ79
      @MsOZ79 Рік тому

      Thank you Sir, your response is so overwhelming. Thank you

  • @hussym854
    @hussym854 Рік тому +4

    Would you please make a video on Lambert Function, professor!?

  • @skellingtonmeteoryballoon
    @skellingtonmeteoryballoon Рік тому

    it is simple

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      Sure master, it shows you are the master here and you are good at what you do sir.
      Respect👍👍👍.

  • @childrenofkoris
    @childrenofkoris 4 місяці тому

    does x = e ^ -W(- ln9/5) valid?

  • @AhmedDebbahi
    @AhmedDebbahi 6 місяців тому

    🇩🇿🇩🇿 شكرا

  • @Rooney1184
    @Rooney1184 7 місяців тому

    Prof. Are u from Nigeria?

  • @mr.9754
    @mr.9754 Рік тому +2

    Well, when I first saw this I thought “there’s no way 9^x ever meets x^5 , right? Cause a power function is always above the x-axis…and there’s no way for any x^a (a>0) to catch it since such functions flatten out from 0 to 1…so…what is this guy smoking?”
    Perhaps I’m missing something? Like a good hit. :p
    三八弟

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Am smoking maths hahaha...🤣🤣😂

    • @mr.9754
      @mr.9754 Рік тому +1

      @@onlineMathsTV Oh I see your solution must be an element of the Complex numbers...ok..haha...This is all new math for me, but I get it now. ps You can google "Wolfram Alpha" and then enter "productlog(A)" ...which is equal to W(A) pps Can I offer a little unsolicited advice? Let your audience know the domain of your x whenever you introduce a function. Also, point out that W(A) will only have real number solutions if A is greater than 1/(-e).

  • @cemilyesiltas
    @cemilyesiltas Рік тому

    Where did the W on the left go? 🤔

  • @1626-k4d
    @1626-k4d Рік тому

    This is the real solution and no doubt about it x = -(5 W_n(2/5 (-1)^(3/5) log(3)))/(2 log(3)), n element Z or

    • @1626-k4d
      @1626-k4d Рік тому

      One of the solution of x
      x≈-2.2756

  • @kkdrfanyb
    @kkdrfanyb Рік тому +1

    负数不能取对数吧

  • @Mehmet_13_opsiyonel_
    @Mehmet_13_opsiyonel_ Рік тому

    Sir; can you explane that rules name 6:32

  • @Viridian88
    @Viridian88 Рік тому +2

    Hmm, he divided "mindlessly" by x on both sides of the equation (video 3:10 ), so he basically assumed x to always be positive. I guess you could do that if you consider that logarithm functions are defined for positive values of x only, am I right?

    • @Theking-vh6gj
      @Theking-vh6gj Рік тому

      وظائف الوغاريتم غير محدودة في مجموعة الاعداد المركبة يا صديقي

    • @wearron
      @wearron Рік тому +3

      you can check that 0 isnt in question. and the fact that X can be negative is not to be underminded. in fact, x has a possibility to be negative, as there are infinite solutions for the equation. Since we are solving a complex equation, its not necessary to check if x

  • @Mathskylive
    @Mathskylive 3 місяці тому

    Does the equation have a solution?

    • @payoo_2674
      @payoo_2674 Місяць тому

      Yes, but only complex.

  • @levskomorovsky1762
    @levskomorovsky1762 Рік тому

    It's interesting, that in according a formula
    e^nW (x) = [x/W(x)]^n:
    n = -1 and
    e^-1 W(-ln 9/5) = [(-ln 9/5)/W(-ln 9/5)]^-1 =
    W(-ln 9/5)/(-ln 9/5)

  • @rumahmatematika144
    @rumahmatematika144 Рік тому +3

    I can prove that x^5

    • @TheGoldenEgg69
      @TheGoldenEgg69 2 місяці тому

      When the question asked for value of x, it didn't ask for real value only

  • @Kmj-e4z
    @Kmj-e4z Рік тому

    W(-ln9 / 5 ) is a real number itself?

  • @Sheldine-p5w
    @Sheldine-p5w Місяць тому

    What X meaning in Math

  • @dannyliu8866
    @dannyliu8866 Рік тому

    How to evaluate W(- ln9/5)?

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Use the Wolfram Alpha calculator, it will give you the numerical value

  • @hanfucolorful9656
    @hanfucolorful9656 Рік тому

    It's beyond my ability to understand

  • @sanjaykamath90210
    @sanjaykamath90210 Рік тому

    Base =9
    Power : 5

  • @Rebb88
    @Rebb88 9 місяців тому

    I got that the risult is approximatively 0,34+0,23i 😞 what does that means? That the solution is irrational?

  • @mathseeker2718
    @mathseeker2718 Рік тому

    what is W?

  • @aigleroyal8571
    @aigleroyal8571 Рік тому +1

    What does mean w ?

  • @pzktupel2390
    @pzktupel2390 Рік тому +1

    Was für ein Geschmiere ....numerical value now ?

  • @NurHadi-qf9kl
    @NurHadi-qf9kl Рік тому +3

    .x=3

  • @hogec_enlightenmentarena6975

    Nice explanation and thanks for this video Jakes.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks for appreciating our little effort sir
      Much love from Onlinemathstv 💖💖💖💕💕💕

  • @mr.d8747
    @mr.d8747 Рік тому

    *Do not fear, the Lambert W function is here!*

  • @giovannilentini8064
    @giovannilentini8064 Рік тому +1

    What is w(a.e^a)=a

    • @wearron
      @wearron Рік тому

      The lamber W function. Basically, when you have an expression alike "x*(e^x)" you can extract the "x" by applying the W function. hence W(a*e^a)=a. The function is really hard to understand and doesnt operate on one single formula, so you just have to take it for granted.

  • @AsianUdo-kk3dp
    @AsianUdo-kk3dp Рік тому

    WHAT IS THE MEANING OF LM

  • @SalmanAkhtar1
    @SalmanAkhtar1 Рік тому

    This is only one of the 5 solutions. Can you share the other 4 solutions? I listed all 5 solutions using log function below in the reply to my comment. If you can show the full solutions that will be helpful.

  • @danielfranca1939
    @danielfranca1939 Рік тому +2

    This great but I think this math is beyond my level. Anyway, thanks for dropping this nice video sir.

  • @vansf3433
    @vansf3433 Рік тому +1

    You have not yet checked whether your solution is correct or not