A Nice Math Olympiad Exponential Problem | Olympaid Mathematics
A Nice Math Olympiad Exponential Problem | Olympaid Mathematics #maths
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Пікірлер: 107
@jagadiswarchakraborty2957 күн бұрын
You solved and narrated it such a way that even s child can understand it.Thank you.
@drnareshjoshi8372Ай бұрын
No need to lengthen procedure Simply use log table for log 18 and log 6
@wmw0702
26 күн бұрын
That's what I was thinking as well because he used a calculator anyway.
@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
5 ай бұрын
Here I can't used a calculator, I just remembered the Values of log2 & log3.
@YAWTon
5 ай бұрын
@@PakMaths Of, course, remembered them from when you used a calculator😂.
@marioprogamer12345
5 ай бұрын
log table exists
@PakMaths
5 ай бұрын
@@marioprogamer12345 there is a log table book.
@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."
@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.
@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
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
Сағат бұрын
😂😂
@franekfrankowski80735 ай бұрын
I got log6(18). In my opinion you should only approximate at the end, when you have the exact solution.
@eltayebeltayeb15685 ай бұрын
You are real lecturer😊
@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
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
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
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.
@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-logic19 күн бұрын
Nice Explaination❤
@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
@jagadiswarchakraborty2953 күн бұрын
Thanks
@innocentodenigbo72843 ай бұрын
Fantastic!
@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
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
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.
@elliotlambert3817Ай бұрын
Log of 18 divided by log of 6 gives the value of X no need for all the waffle.
@krishnamurthyg940412 күн бұрын
Quite an interesting video.
@colinpaul0927 күн бұрын
How can a maths Olympiad examee be allowed calculator ??
@cachotrelles47155 ай бұрын
Excelente explicación, paso a paso, muy entendible en el "lenguaje de los números" 👌👍👍👍
@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-kz6ve2 ай бұрын
If we place by simplifying what happened
@user-de3dc2xf4l5 ай бұрын
It's just a approximate solution.
@jrm4728Ай бұрын
Just do log 18 ÷ log 6
@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
Ай бұрын
Yes, here we use it's approximate values upto four decimals places......
@eddiebasdeobasdeo10547 сағат бұрын
This problem is a heavy LOG Just can’t handle it
@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...
@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
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
Ай бұрын
@@PakMathsThat's fair. If that is your target audience, then I can find no fault, my friend. Nice videos and very easy to follow! 🙏
@aryabhattagamharia55865 ай бұрын
Nice video sir 👍
@abdullavohra19707 күн бұрын
You also required to divide 1 by 10,000
@PakMaths
7 күн бұрын
Point out the step, where we need this.....
@Fedor___12 ай бұрын
Log18 on base 6 is answer.
@JPTaquari3 ай бұрын
Herr teacher, why no go directy : log of 18 = 1,252527 log of 6 = 0,77815 X = 1, 61315
@GaryBricaultLive
3 ай бұрын
log 6 is better in the factoring. But not necessary to use log 2 and log 3.
@user-wi8iq3hn3k4 ай бұрын
Может быть просто ученикам пользоваться калькуляторами, которые всё считают.. Ну бред численно так выводить
@kee1zhang7693 ай бұрын
Why can't we just find the value of (log18)/(log6) by calculator?
@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.
@nguoitinhque2 ай бұрын
a^x = b => x = logb/loga
@alexandresilveirasousa78672 ай бұрын
Usando a tab de log fica fácil…..
@medhadj6954 ай бұрын
good
@csabamagdo72443 ай бұрын
Math olympiad? C'mon... This is a max. 2 mins problem extended (even complicated) to nine and a half.
@SnailBeast2 ай бұрын
Wtf is log6 and log18? Sounds like error.
@rahayhaq93665 ай бұрын
Easy things solved in very difficult way…. Not easy teaching..🙏🏽
@jerryclasby9628Ай бұрын
X = log 18/log 6
@crismunda20224 ай бұрын
How to recheck your answer if it’s right.
@PakMaths
4 ай бұрын
Substitute back the Value in equation or Question.......it's simple.
@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.
@nandkishoresharma99704 ай бұрын
Unnecessary expansion of solution. Poor
@sushmaagarwal68042 ай бұрын
Xbaraber...3❤
@subasu4782 ай бұрын
Three
@myMusicHobby302Ай бұрын
🤯
@BluesChoker0128 күн бұрын
X = (log 18)/(log 6) = 1.6132 Exact Ans. Approx Ans ❤
@SUJAMUK2 ай бұрын
3 times 6 = 18
@arshlataliu51793 ай бұрын
3
@user-dq3uh6ee5wАй бұрын
lg18/lg6.
@user-mf8fp2os9gАй бұрын
2
@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!
@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
@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.
@ramanivenkata3161Ай бұрын
Log 18 divided by log 6 will give you answer 1.6. Why do you struggle?
@user-we9xm3ie9d2 ай бұрын
10000 is différent whith 10,000
@PakMaths
2 ай бұрын
How....? They are same numbers...
@user-vz6ff9vw6lАй бұрын
tebeda new solnu qintram werrage hulla
@jenerickdato1242 ай бұрын
Hahaha
@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
Ай бұрын
6^х\6=6^(х-- 1) 😊
@abdullavohra19707 күн бұрын
Ye galat hai
@PakMaths
7 күн бұрын
What's wrong....???
@arundebnath99754 ай бұрын
Horrible teacher
@colinpaul0927 күн бұрын
Boring
@OlegSidorov-vp3in2 ай бұрын
А нельзя диктора с нормальным акцентом нанять?
@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
5 ай бұрын
Yes, and now my Channel is monetized from December 1st.
Пікірлер: 107
You solved and narrated it such a way that even s child can understand it.Thank you.
No need to lengthen procedure Simply use log table for log 18 and log 6
@wmw0702
26 күн бұрын
That's what I was thinking as well because he used a calculator anyway.
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
5 ай бұрын
Here I can't used a calculator, I just remembered the Values of log2 & log3.
@YAWTon
5 ай бұрын
@@PakMaths Of, course, remembered them from when you used a calculator😂.
@marioprogamer12345
5 ай бұрын
log table exists
@PakMaths
5 ай бұрын
@@marioprogamer12345 there is a log table book.
@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."
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.
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
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
Сағат бұрын
😂😂
I got log6(18). In my opinion you should only approximate at the end, when you have the exact solution.
You are real lecturer😊
Make your solution simple…if you are taking the exam in Math and time is limited you will not pass the exam.
@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
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
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.
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.
Nice Explaination❤
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
Thanks
Fantastic!
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
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
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.
Log of 18 divided by log of 6 gives the value of X no need for all the waffle.
Quite an interesting video.
How can a maths Olympiad examee be allowed calculator ??
Excelente explicación, paso a paso, muy entendible en el "lenguaje de los números" 👌👍👍👍
How is this a Maths Olympiad question? It is easy. I thought there was going to be some trick but there is nothing original.
If we place by simplifying what happened
It's just a approximate solution.
Just do log 18 ÷ log 6
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
Ай бұрын
Yes, here we use it's approximate values upto four decimals places......
This problem is a heavy LOG Just can’t handle it
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...
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
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
Ай бұрын
@@PakMathsThat's fair. If that is your target audience, then I can find no fault, my friend. Nice videos and very easy to follow! 🙏
Nice video sir 👍
You also required to divide 1 by 10,000
@PakMaths
7 күн бұрын
Point out the step, where we need this.....
Log18 on base 6 is answer.
Herr teacher, why no go directy : log of 18 = 1,252527 log of 6 = 0,77815 X = 1, 61315
@GaryBricaultLive
3 ай бұрын
log 6 is better in the factoring. But not necessary to use log 2 and log 3.
Может быть просто ученикам пользоваться калькуляторами, которые всё считают.. Ну бред численно так выводить
Why can't we just find the value of (log18)/(log6) by calculator?
@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.
a^x = b => x = logb/loga
Usando a tab de log fica fácil…..
good
Math olympiad? C'mon... This is a max. 2 mins problem extended (even complicated) to nine and a half.
Wtf is log6 and log18? Sounds like error.
Easy things solved in very difficult way…. Not easy teaching..🙏🏽
X = log 18/log 6
How to recheck your answer if it’s right.
@PakMaths
4 ай бұрын
Substitute back the Value in equation or Question.......it's simple.
@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.
Unnecessary expansion of solution. Poor
Xbaraber...3❤
Three
🤯
X = (log 18)/(log 6) = 1.6132 Exact Ans. Approx Ans ❤
3 times 6 = 18
3
lg18/lg6.
2
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!
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
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.
Log 18 divided by log 6 will give you answer 1.6. Why do you struggle?
10000 is différent whith 10,000
@PakMaths
2 ай бұрын
How....? They are same numbers...
tebeda new solnu qintram werrage hulla
Hahaha
Too much bs Divide both sides by the same factor 6x=18 6x/6=18/6 Simplify the expression Solution X=3
@ludmilak9396
Ай бұрын
6^х\6=6^(х-- 1) 😊
Ye galat hai
@PakMaths
7 күн бұрын
What's wrong....???
Horrible teacher
Boring
А нельзя диктора с нормальным акцентом нанять?
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
5 ай бұрын
Yes, and now my Channel is monetized from December 1st.
@abdulrazaqshahid4386
5 ай бұрын
@@PakMaths Mashallah
3
@PakMaths
3 ай бұрын
How.....?