Solving Exponential Equation 5^2x=7x Using Lambert Wn Function | Lambert w function introduction

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  • Опубліковано 1 гру 2024

КОМЕНТАРІ • 84

  • @jenohathazi920
    @jenohathazi920 Рік тому +8

    so ln25 not ln27 at last divide.... you missed it

  • @zielonykubeczek9218
    @zielonykubeczek9218 Рік тому +3

    Jest nasz wspaniały matematyk.
    Dziękuję.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      😍😍😍 Thanks a lot sir.
      We are glad you are gaining some values from our video tutorials.
      We will put more effort to serve you better sir.
      You welcome to our channel.
      Much love 💕💕💖💖

  • @Penndennis
    @Penndennis Місяць тому

    Great job! Many thanks.

  • @edwinwelch1393
    @edwinwelch1393 Місяць тому

    Many thanks for this question.

  • @jim2376
    @jim2376 11 місяців тому +1

    👍Well done.

  • @syedmdabid7191
    @syedmdabid7191 Рік тому +2

    1- how did it become 27 in the denominator?
    2- what's the numerical value of x?

  • @quantumxgaming439
    @quantumxgaming439 Рік тому +1

    Excellent sir thanks

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      You are most welcome sir.
      Thank you for watch, and encouraging us.
      More love❤️❤️❤️

  • @dimuthdarshaka7985
    @dimuthdarshaka7985 Рік тому +1

    Sir give us all ln and ex important equations
    Great teacher thank you sir

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Ok sir. We will drop more challenges on that and thanks for the comment, it is very encouraging and we promise to serve you better in this platform as far as mathematics is concerned by His grace sir.
      Much love ❤️❤️💖💖💕

  • @sans1331
    @sans1331 Рік тому +1

    5^2x=7x
    raise both sides to 1/x power
    5^2=25=7x^1/x
    /7 both sides
    25/7=x^1/x
    using a formula i made,
    (if x^1/x=y, x=e^-W(-lny))
    =>x=e^-W(-ln(25/7))

  • @JirivandenAssem
    @JirivandenAssem Рік тому

    Thx just needed a clear example for lambertW

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Ok sir, I will do that in another video tutorial

  • @digitalnomad5643
    @digitalnomad5643 Рік тому

    Bravo!

  • @enki354
    @enki354 Рік тому

    Just brillant! I wish i could have solved it.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks a million @Robert Roth. I like your name sir🙋
      Thanks for encouraging us with this comment. You will solve even tougher mathematical challenges than this one so long it is in your heart to know.
      Thanks for watching and commenting sir.
      Much love💖💖💕💕

  • @asliddinnarziyev3545
    @asliddinnarziyev3545 Рік тому

    I am pleased. Thank you

  • @ashabilkhaaff
    @ashabilkhaaff Рік тому +1

    Thanks 🙏 so much for doing great job.
    Sir, which app do you use in editing your thumbnail especially geometric figures?

  • @jayantadas8259
    @jayantadas8259 Рік тому

    Excellent explanation

  • @StephieJoseph-io3wt
    @StephieJoseph-io3wt Рік тому

    Great solution

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks a million sir.
      We are glad you gained some values from our videos sir.

  • @RafaelJDiaz-uy1cs
    @RafaelJDiaz-uy1cs Рік тому +1

    Thanks Jakes, that is an elegant way to solve the problem. However, the solution’s argument for the W Lambert function (-Ln (25)/7) falls outside the domain of such function [-1/e, ∞). The curve 5^2x - 7x does not intersect the X axis, the closest value (y=-0.485) occurs when X=0.241.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Many thanks for this nice observation @RafaelJDiaz-uy1cs.
      From your comment and other's, I will always make use of the graphical method using Desmos in subsequent cases before making any video in order to always give the best to this wonderful comment.
      Again thanks a bunch sir.
      Maximum respect....🙏🙏🙏

  • @syedmdabid7191
    @syedmdabid7191 Рік тому

    What's the numerical value of wn(2) ????.........

  • @syedmdabid7191
    @syedmdabid7191 Рік тому

    Answer should be ln25 in the denominator. In 27×××

  • @ayodeleawodeji822
    @ayodeleawodeji822 Рік тому

    What calculator did he recommend to evaluate for x?

  • @Birol731
    @Birol731 Рік тому +2

    Thank you sir for your detailed explanation 🙏
    Is the function that we need: -LWn[(-ln25/7)/ln25] not ln27 at the denominator, right ?
    = -LambertWn((-0.459839)/ln25)
    = -LambertWn(-0.142857142)
    if we give this in "Wolfram Alpha"
    we get x= 0,169192603
    if we put this into our equation, we get:
    5²*⁰,¹⁶⁹¹⁹²⁶⁰³= 1,723935.....
    which is not equal to 7*x= 7*0,169192603 = 1,18434....... ? 🤔
    b) Why did you put the minus of (-ln25) before the LambertWn function, is this a rule, I mean, can't we divide [-ln25/7]/(-ln25) = 0,142857142, so
    LambertWn(0.142857142), here we get x= 0.125951132
    This is not equal with : -LambertWn(-0.142857142), as far as I can see........

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +3

      You are correct @Birol, it is a typo on my side sir. The denominator is ln25 not ln27.
      I promise to be more careful next time when am solving math sir.
      Thanks for the keen observation....
      Respect👍👍👍

    • @michaelkoch6863
      @michaelkoch6863 Рік тому +2

      The Lambert function is not defined at -ln(25)/7 = -0,4598394036 .
      The domain is [-1/e,+infinity[.
      Therefore no solution.
      Greetings from Germany

    • @Birol731
      @Birol731 Рік тому

      @@michaelkoch6863 Hello Michael, thank you very much for your feedback. He did not give the exact solution, just wrote the Lambert Wn Function: x= LWn[(-ln25/7)/(-ln25)]
      = LWn[(-0,4598/(-3,2188)]
      = LWn(0,142857)
      x= 0,125951 which does not give the result !
      If we write: x= LWn[(-ln25/7)/(-ln25)] and put the minus of the denominator before the function, we get:
      - LWn[(-ln25/7)/(ln25)]
      -LWn[(-0,4598/(3,2188)]
      - LWn (-0,142857) so with the minus sign in the bracket, would give:
      x= 0,169192 which also does not fit the equation, my question was and is, where is the mistake here ?
      You may use the Wolfram Alpha Website, to check it.

    • @michaelkoch6863
      @michaelkoch6863 Рік тому

      @@Birol731 Hmm and my answer is in my message. Nice day....

    • @ernestkomeme5385
      @ernestkomeme5385 Рік тому

      ohk wanted to comment on the ln27 but I guess my colleague already did, thank you

  • @MD.SHAFIQULISLAM-77
    @MD.SHAFIQULISLAM-77 Рік тому

    2^x=x+2 solve for x

  • @zakizaki1197
    @zakizaki1197 Рік тому

    Hi, from where you get Ln 27

    • @jaketan5172
      @jaketan5172 Рік тому +1

      Mind-drift from ln 25 to ln 27. Just a typo. You are sharp.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Mind-shift sir. Very sorry about that, I promise to be more careful next time sir.

  • @enki354
    @enki354 Рік тому

    Hi the problem I just gave you the i is not a complex number it just stands for interest. As in compounded interest.

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      🤣🤣😂😂😍😍
      Funniest and most wonderful comment ever.
      Your comment is a great medicine to me because it made me laugh uncontrollably this moment sir.
      You are more than a comedian and thanks for dropping this unique comment boss.
      Loving you like mad!!!💕💕😍😍😍💖💖❤️❤️

  • @mirrorless_mirror
    @mirrorless_mirror 9 місяців тому

    must be division by ln 25 in the final answer

  • @JackGetachew
    @JackGetachew Рік тому

    Please solve this one
    8^x +9^x=10^x

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      So sorry for the late reply, I just saw your question/request now. I will make a video on this soonest sir.
      Thanks.

  • @opulence3222
    @opulence3222 10 місяців тому

    It suppose to be In25 but you wrote In27 or am the one lost here?
    Pls lecture my ignorance.

  • @robertovolpi
    @robertovolpi 6 місяців тому

    well, as it is a complex number I thought I could see that complex numerical result I don't obtain by algebraic means...

  • @xualain3129
    @xualain3129 Рік тому +2

    -(ln 25)/7=-0.459839 < -1/e=-0.367879 so according to Lambert function definition ,there should be no real solution at all.

  • @petejackson7976
    @petejackson7976 11 місяців тому

    typo on your QED ln25 and not ln27

  • @enki354
    @enki354 Рік тому

    Can you show me how to solve this problem? p times (1+.01r/365)^365 times [(1+.01r/365)^(365t)-1]/[(1+.01r/365)^(365)-1] -p times t = i solve for t THANKS

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      I can't get the actual form of your question sir.
      Kindly drop it on my whatsap handle via +2348037118469

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Thanks

  • @therichcircle.8819
    @therichcircle.8819 Рік тому

  • @PaiboonKityadhiguna
    @PaiboonKityadhiguna 10 місяців тому

    If we plot on graph, we could see 5^2X{(0,5),(1,25)} will not touch 7x {(0,0),(1,7)}, so I don't think there is a real X to be the correct answer

    • @onlineMathsTV
      @onlineMathsTV  10 місяців тому

      Yes, if you input the final answer into your Wolfram Alpha calculator what will come out are imaginary roots.

  • @jeybala
    @jeybala Рік тому

    Could you please check your solution again. How did (ln 25)/7 become (ln 25/7)?

  • @geo-gd9054
    @geo-gd9054 Рік тому

    5² ^x = 7x
    Log 5² ^x = log 7x
    2X * log 5 = log 7x
    2X * log 10/2 = log 7x
    2X *( log 10 - log 2) = log 7x
    2X *(1-0,3) = log 7x
    2X * (0,7) = log 7x
    X* 1,4 = log 7x

    • @onlineMathsTV
      @onlineMathsTV  Рік тому +1

      Thanks for the work through/procedure sir. It is a nice approach sir.
      So, what is the value of x sir or how do we solve for x from here sir?

    • @geo-gd9054
      @geo-gd9054 Рік тому

      @@onlineMathsTV olá! Professor! Eu sou do Brasil. Realmente, eu tentei resolver usando logaritmo, mas não soube continuar a resolução, por isso parei neste ponto. Obrigada pelo retorno.

    • @geo-gd9054
      @geo-gd9054 Рік тому

      O máximo que conseguiria continuar seria:
      X* 1,4 = log 7x
      X * 1,4 = log 7 + log x
      X = (log 7) /1,4 + log x /1,4
      X = 0,845/1,4 + log x /1,4
      X = 0,6 + log x / 1,4
      X - log x /1,4 = 0,6
      Log 10^x - log x = 0,6
      Log 10^x/x = 0,6
      10^6/10 = (10^x)/x
      10³/⁵ = (10^x) /x
      ?????
      Professor! Eu não sei continuar.... o Sr. poderia ajudar-me?

  • @hongshengyu-s9k
    @hongshengyu-s9k Рік тому

    you sure ln(-ln25/7) exist?

  • @luismvb
    @luismvb Рік тому +1

    El ln 27 no va, es ln 25. Y la solución es solo para Reales

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Sorry for that error, the denominator is In25 and not In27 pls.
      It is a typo sir....I will be more careful next time sir.
      Regards....

  • @ChristelleHilaire-lb6pu
    @ChristelleHilaire-lb6pu Рік тому

    X=ln×*(0)

  • @Covid-Covid--xo3ok
    @Covid-Covid--xo3ok Рік тому +5

    X = A/ln25. Not ln 27.

  • @servictorovich2576
    @servictorovich2576 Рік тому

    нужно провести исследование функции

  • @shafrazameer631
    @shafrazameer631 Рік тому

    25 not 27

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Yes, typo. So sorry about that, kindly pardon my manners pls.

  • @vansf3433
    @vansf3433 11 місяців тому

    Anyone with some basic knowledge of maths can do like what you have done, by just copying the nonsensical notion of lambda function to arrive at such an undefinable or unverifiable solution
    The most basic correct way of solving such highschool probs always includes checking whether the found solution is correct or not, by just substituting the found solution in the original equation. But you have never ever done so, and just jumped to a baseless conclusion . that it's the solution
    All solutions which contain any variable, without a specific value are invalid

  • @huynhnguyenthito5867
    @huynhnguyenthito5867 Рік тому

    Niêu là tham gia thì cho chính xác là một con a b miền Nam

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Make me to understand your point for clarity sake sir.

  • @Lamanhliveclip
    @Lamanhliveclip Рік тому

    Chữ xấu ,giải khó hiểu

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      So sorry about that madam. Am actually working on my accent so that people like you and others who may find it difficult to comprehend will get exactly what am passing out.
      Thanks for the observation.
      Much love💕💕💖💖

  • @pixxx9973
    @pixxx9973 Рік тому

    Hahaha.. amazing solution. NdasQ musmet 😂🤣

  • @tyaugustin6591
    @tyaugustin6591 Рік тому +1

    Over 25 not 27

    • @onlineMathsTV
      @onlineMathsTV  Рік тому

      Yes boss, it is a typo......thanks for the observation and I promise to be more careful in subsequent time sir.
      Thanks a million sir.