A Nice Math Olympiad Exponential Problem | Olympaid Mathematics

A Nice Math Olympiad Exponential Problem | Olympaid Mathematics #maths

Пікірлер: 107

  • @jagadiswarchakraborty295
    @jagadiswarchakraborty2957 күн бұрын

    You solved and narrated it such a way that even s child can understand it.Thank you.

  • @drnareshjoshi8372
    @drnareshjoshi8372Ай бұрын

    No need to lengthen procedure Simply use log table for log 18 and log 6

  • @wmw0702

    @wmw0702

    26 күн бұрын

    That's what I was thinking as well because he used a calculator anyway.

  • @YAWTon
    @YAWTon5 ай бұрын

    Since you are using a calculator, why not simply use x=log(18)/log(6) and be done with this really super boring problem?

  • @PakMaths

    @PakMaths

    5 ай бұрын

    Here I can't used a calculator, I just remembered the Values of log2 & log3.

  • @YAWTon

    @YAWTon

    5 ай бұрын

    @@PakMaths Of, course, remembered them from when you used a calculator😂.

  • @marioprogamer12345

    @marioprogamer12345

    5 ай бұрын

    log table exists

  • @PakMaths

    @PakMaths

    5 ай бұрын

    @@marioprogamer12345 there is a log table book.

  • @roger7341

    @roger7341

    5 ай бұрын

    When I was obtaining a degree in electrical engineering back in the mid 1960s, pocket calculators didn't exist. My Post slide rule effectively added log2 and log3 to get log6, accurate to about three digits if you hadn't dropped it beforehand and you had good eyesight. Today, what professor or boss in their right mind would ever say, "No, we don't use calculators here, only pencil and paper or your slide rule if your dog hasn't chewed it up."

  • @nigelmansfield3011
    @nigelmansfield3011Ай бұрын

    Well explained for those who need to know how to simplify log equations. Of course, when these are embedded in much larger or more complex equations we may prefer to keep the the simplified logs until the very end rather than approximate values too early. Great explanation as I said.

  • @walterwen2975
    @walterwen29754 ай бұрын

    Olympiad Mathematics: 6ˣ = 18; x = ? x = log₆18 = 1.255/0.778 = 1.613 The calculation was achieved on a smartphone with a standard calculator app

  • @BluesChoker01

    @BluesChoker01

    28 күн бұрын

    While I solved x = log18/log6, your method better shows the relationship of Base (6), Ans (18) and Exp (x). Good old Bacon And Eggs (BAE). Nice job.

  • @azizcakmakl9232

    @azizcakmakl9232

    Сағат бұрын

    😂😂

  • @franekfrankowski8073
    @franekfrankowski80735 ай бұрын

    I got log6(18). In my opinion you should only approximate at the end, when you have the exact solution.

  • @eltayebeltayeb1568
    @eltayebeltayeb15685 ай бұрын

    You are real lecturer😊

  • @egaydemesa5353
    @egaydemesa53533 ай бұрын

    Make your solution simple…if you are taking the exam in Math and time is limited you will not pass the exam.

  • @carlitoongco9682

    @carlitoongco9682

    2 ай бұрын

    He is only demonstrating...so that others may understand and learn. Its not for those who already knew how to solve that particular equation.

  • @kankri99

    @kankri99

    Ай бұрын

    @@carlitoongco9682 if he is going to anyway evaluate log(3) and log(2) after so many steps, why not evaluate log(18) and log(6) and done with it faster.

  • @carlitoongco9682

    @carlitoongco9682

    Ай бұрын

    @@kankri99 u dont understand...mind this, if u r a teacher with so many students who are slow learner plenty of them will fail...they need an approach a step by step solutions to problems so may for them to understand. And later on you may teach them with short cuts to improve their speed solving problems.

  • @nagarajahshiremagalore226
    @nagarajahshiremagalore2262 ай бұрын

    Why so many steps. After taking log on both sides , write x interms of ratio of log18 : log 6 , then from log table substitute the values for log18 & log 6, then that is x . Simplify by dividing.

  • @Mb-logic
    @Mb-logic19 күн бұрын

    Nice Explaination❤

  • @GaryBricaultLive
    @GaryBricaultLive3 ай бұрын

    Once the calculation has reached the point of X log 6 = 18 the whole process can be greatly simplified for the sake of instruction efficiency. Students need to be taught simplification to reduce chance of error and time spent during exams. X log 6 = 18 = 6 * 3 X log 6 = log 6 + log 3 Note: multiplication of two numbers m and n is addition of the log form; log(m) + log(n) X = (log 6/log 6) + (log 3 / log 6) Note: {log 6 = log 2 + log 3 = 0.3010 + 0.4771 = 0.7782} but no need to calculate log 6 in terms of log 2 and log 3 X = 1 + (0.4771 / 0.7782) = 1 + 0.6131 = 1.6131

  • @jagadiswarchakraborty295
    @jagadiswarchakraborty2953 күн бұрын

    Thanks

  • @innocentodenigbo7284
    @innocentodenigbo72843 ай бұрын

    Fantastic!

  • @technowey
    @technowey5 ай бұрын

    It's a good teaching video. Technically though, once he put in truncated trancendental numbers, the equals sign should have been replaced with the symbol thtat means 'approximately equal."

  • @roger7341

    @roger7341

    5 ай бұрын

    "Precise but not Accurate!" is what a professor told me he had written on a student's exam paper in response to sixteen digits of an incorrect answer copied directly from a pocket calculator.

  • @dorienjames5276

    @dorienjames5276

    5 ай бұрын

    @@roger7341 Spurious precision is one of the fastest ways of spotting the work of an idiot. There are very few times in everyday life when any digit past the third is likely to be accurate or useful.

  • @elliotlambert3817
    @elliotlambert3817Ай бұрын

    Log of 18 divided by log of 6 gives the value of X no need for all the waffle.

  • @krishnamurthyg9404
    @krishnamurthyg940412 күн бұрын

    Quite an interesting video.

  • @colinpaul09
    @colinpaul0927 күн бұрын

    How can a maths Olympiad examee be allowed calculator ??

  • @cachotrelles4715
    @cachotrelles47155 ай бұрын

    Excelente explicación, paso a paso, muy entendible en el "lenguaje de los números" 👌👍👍👍

  • @petergcda9645
    @petergcda9645Ай бұрын

    How is this a Maths Olympiad question? It is easy. I thought there was going to be some trick but there is nothing original.

  • @Sadamabdi-kz6ve
    @Sadamabdi-kz6ve2 ай бұрын

    If we place by simplifying what happened

  • @user-de3dc2xf4l
    @user-de3dc2xf4l5 ай бұрын

    It's just a approximate solution.

  • @jrm4728
    @jrm4728Ай бұрын

    Just do log 18 ÷ log 6

  • @hanshartmann8205
    @hanshartmann8205Ай бұрын

    The explanation is not only lengthy. It is not accurate. The values for the various logs are not finite. But of log2 and log 3 I still remember from my school 60 years ago.

  • @PakMaths

    @PakMaths

    Ай бұрын

    Yes, here we use it's approximate values upto four decimals places......

  • @eddiebasdeobasdeo1054
    @eddiebasdeobasdeo10547 сағат бұрын

    This problem is a heavy LOG Just can’t handle it

  • @Lifeisalwaysarace
    @Lifeisalwaysarace4 ай бұрын

    Sir kindly solve this with explanation...∑ ∞n=1 [log(n+1)/nsquare] Let me just say...by typing this can't be completely explained.. I know... so you can make a video on this...

  • @blainenewton7188
    @blainenewton7188Ай бұрын

    These are good videos, but you should really try to condense them. Some of the basic intermediary steps can be eliminated for this video. Most of us know how to divide fractions and multiply numbers. Make the videos only about 2 to 3 minutes long.

  • @PakMaths

    @PakMaths

    Ай бұрын

    Ok I will try, but most of my audionce are of basic level....... that's why I am trying to explain step by step....

  • @blainenewton7188

    @blainenewton7188

    Ай бұрын

    @@PakMaths​​⁠That's fair. If that is your target audience, then I can find no fault, my friend. Nice videos and very easy to follow! 🙏

  • @aryabhattagamharia5586
    @aryabhattagamharia55865 ай бұрын

    Nice video sir 👍

  • @abdullavohra1970
    @abdullavohra19707 күн бұрын

    You also required to divide 1 by 10,000

  • @PakMaths

    @PakMaths

    7 күн бұрын

    Point out the step, where we need this.....

  • @Fedor___1
    @Fedor___12 ай бұрын

    Log18 on base 6 is answer.

  • @JPTaquari
    @JPTaquari3 ай бұрын

    Herr teacher, why no go directy : log of 18 = 1,252527 log of 6 = 0,77815 X = 1, 61315

  • @GaryBricaultLive

    @GaryBricaultLive

    3 ай бұрын

    log 6 is better in the factoring. But not necessary to use log 2 and log 3.

  • @user-wi8iq3hn3k
    @user-wi8iq3hn3k4 ай бұрын

    Может быть просто ученикам пользоваться калькуляторами, которые всё считают.. Ну бред численно так выводить

  • @kee1zhang769
    @kee1zhang7693 ай бұрын

    Why can't we just find the value of (log18)/(log6) by calculator?

  • @GaryBricaultLive

    @GaryBricaultLive

    3 ай бұрын

    It fits a more standard solution method to break the 18 into 6 * 3 first. Then (log 6/ log 6) + (log 3/log 6) will evaluate to 1 + (log 3/log 6). Either way the log values are found with a table or calculator.

  • @nguoitinhque
    @nguoitinhque2 ай бұрын

    a^x = b => x = logb/loga

  • @alexandresilveirasousa7867
    @alexandresilveirasousa78672 ай бұрын

    Usando a tab de log fica fácil…..

  • @medhadj695
    @medhadj6954 ай бұрын

    good

  • @csabamagdo7244
    @csabamagdo72443 ай бұрын

    Math olympiad? C'mon... This is a max. 2 mins problem extended (even complicated) to nine and a half.

  • @SnailBeast
    @SnailBeast2 ай бұрын

    Wtf is log6 and log18? Sounds like error.

  • @rahayhaq9366
    @rahayhaq93665 ай бұрын

    Easy things solved in very difficult way…. Not easy teaching..🙏🏽

  • @jerryclasby9628
    @jerryclasby9628Ай бұрын

    X = log 18/log 6

  • @crismunda2022
    @crismunda20224 ай бұрын

    How to recheck your answer if it’s right.

  • @PakMaths

    @PakMaths

    4 ай бұрын

    Substitute back the Value in equation or Question.......it's simple.

  • @crismunda2022

    @crismunda2022

    4 ай бұрын

    @@PakMaths How would you do it? If the exponent is 2 we multiply 6 as 6x6; if the exponent is three then it is 6x6x6; since the exponent is greater than 1 and less than 2 how would we do it then; please show the solution.

  • @nandkishoresharma9970
    @nandkishoresharma99704 ай бұрын

    Unnecessary expansion of solution. Poor

  • @sushmaagarwal6804
    @sushmaagarwal68042 ай бұрын

    Xbaraber...3❤

  • @subasu478
    @subasu4782 ай бұрын

    Three

  • @myMusicHobby302
    @myMusicHobby302Ай бұрын

    🤯

  • @BluesChoker01
    @BluesChoker0128 күн бұрын

    X = (log 18)/(log 6) = 1.6132 Exact Ans. Approx Ans ❤

  • @SUJAMUK
    @SUJAMUK2 ай бұрын

    3 times 6 = 18

  • @arshlataliu5179
    @arshlataliu51793 ай бұрын

    3

  • @user-dq3uh6ee5w
    @user-dq3uh6ee5wАй бұрын

    lg18/lg6.

  • @user-mf8fp2os9g
    @user-mf8fp2os9gАй бұрын

    2

  • @Astrobrant2
    @Astrobrant22 ай бұрын

    Good GAWD, you went through a lot of unnecessary extra steps (seven minutes-worth) -- and got a less accurate answer! Just divide log 16 by log 8 (at 2:15 in the video). You're done!

  • @mrinalkundu5678
    @mrinalkundu56784 ай бұрын

    This is good timepass but useless. I learnt trigonometry, calculus, logarithm which have no practical value. 8th standard mathematics is sufficient in profession. Rather we should be taught MS office, basic program in Java. Thank you

  • @shahabvarkouhi2656
    @shahabvarkouhi26565 ай бұрын

    Sir, You could solve this using a much faster and easier way. In my view, you even do not know the basics of maths and logarithms.

  • @ramanivenkata3161
    @ramanivenkata3161Ай бұрын

    Log 18 divided by log 6 will give you answer 1.6. Why do you struggle?

  • @user-we9xm3ie9d
    @user-we9xm3ie9d2 ай бұрын

    10000 is différent whith 10,000

  • @PakMaths

    @PakMaths

    2 ай бұрын

    How....? They are same numbers...

  • @user-vz6ff9vw6l
    @user-vz6ff9vw6lАй бұрын

    tebeda new solnu qintram werrage hulla

  • @jenerickdato124
    @jenerickdato1242 ай бұрын

    Hahaha

  • @TheDon047
    @TheDon047Ай бұрын

    Too much bs Divide both sides by the same factor 6x=18 6x/6=18/6 Simplify the expression Solution X=3

  • @ludmilak9396

    @ludmilak9396

    Ай бұрын

    6^х\6=6^(х-- 1) 😊

  • @abdullavohra1970
    @abdullavohra19707 күн бұрын

    Ye galat hai

  • @PakMaths

    @PakMaths

    7 күн бұрын

    What's wrong....???

  • @arundebnath9975
    @arundebnath99754 ай бұрын

    Horrible teacher

  • @colinpaul09
    @colinpaul0927 күн бұрын

    Boring

  • @OlegSidorov-vp3in
    @OlegSidorov-vp3in2 ай бұрын

    А нельзя диктора с нормальным акцентом нанять?

  • @abdulrazaqshahid4386
    @abdulrazaqshahid43865 ай бұрын

    Assalam O alaikum sir! Some days before i requested you to tell that your channel is monetized you told me that not still Please tell me now had done The Adsense problem I really impressed because of you and want to start my own such yt channel Please tell me whether i give you my personal number or you❤

  • @PakMaths

    @PakMaths

    5 ай бұрын

    Yes, and now my Channel is monetized from December 1st.

  • @abdulrazaqshahid4386

    @abdulrazaqshahid4386

    5 ай бұрын

    @@PakMaths Mashallah

  • @tpraba15
    @tpraba153 ай бұрын

    3

  • @PakMaths

    @PakMaths

    3 ай бұрын

    How.....?