I think the problem is solved just at the point when it is found that x= ln30/ln4. The rest is unnecessary , a useless dilation to arrive to an impractical form
Listen you guys are geniuses.But I haven't done math in like forty years so I find this interesting period where can I take a online course to run a stuff
yeah... unless the problem specified that your final answer could ONLY contain logs of primes... but even then: x = (ln(2) + ln(3) + ln(5))/(2ln(2)). lol I lost it at the change of base, like... in that case, screw it... x = log_4(30).
Everyone here is just saying is useless because they are going to use a calculator to solve it. The point of this videos is to be able to demonstrate the solution without it. I am not able to solve log 30 by myself but it is really easy to solve the logs he is using. In the other hand it is really useful to remember all the properties. i remembered 80% of them but it is nice to review them. Thanks man I love your channel.
That's exactly what I thought ... then use a calculator ... But the 'answer' arrived at is left in logs, so I guess there's instructions like "do not use a calculator, and simplify as far as possible to prime numbers etc" Otherwise it's wandering around quite a bit.
Советский школьник решил бы эту задачу в 3 раза быстрее. Не легче ли сразу было представить логарифм 30, как 2*15, а не разводить эту многоэтажную канитель!
Its teachers like these that make students hate math. Pointless, endless and robotic steps. What math exam paper would have enough time for this solution
Your solution is unnecessarily complicated. First, simplify the given expression: 4^x=2^(2x). So, 2^(2x)=2\times 15. This implies 2^(2x)\times 2^(-1)=15, or 2^(2x-1)=15. Now take the log of both sides: (2x-1)\times log2=log15. Or, 2x-1=log15:log2, etc
If you were talking an assessment exam, you would not have the time to preform that many LOGS. That’s great when you are a student in the classroom, but in the real world you only have so many minutes to solve 30 and x. So what is quickest way to simplify a math equation like that?
4^x = 30 take the log to base 4 of both sides(because 4 is what is being raised to a power): log_4(4^x) = log_4(30) which gives x = log_4(30) since log_a(b) = log(b)/log(a), x = log(30)/log(4) STOP THERE
From the viewpoint of someone who is not adept at logarithms, I have to accept each step as being sanely conceived. But, each step leads to a sort of insanity leading to a true unreality.
@@brian67101 Logarithms are used to scale measurements (e.g., sound intensity , distances, earthquakes, power, voltage, etc.) into something that is measurable and can be displayed on a computer screen or graph paper, so that it is viewable. Obviously not everyone will need them. But it’s the same with many other things. Everything in this life has a purpose, if you are not using it doesn’t mean it is useless. Even if you learn this at school it will serve to learn to think and you will use that analitical thinking in the future for other purpose.
I think the problem is solved just at the point when it is found that x= ln30/ln4. The rest is unnecessary , a useless dilation to arrive to an impractical form
exactly...super boring after that finding
Listen you guys are geniuses.But I haven't done math in like forty years so I find this interesting period where can I take a online course to run a stuff
I concur with you!
yeah... unless the problem specified that your final answer could ONLY contain logs of primes... but even then: x = (ln(2) + ln(3) + ln(5))/(2ln(2)).
lol I lost it at the change of base, like... in that case, screw it... x = log_4(30).
100% - I got 2.45 from log30/log4. Not ln but log...
Short way is x= ln30/ln4. But its a cool explanation! Showing all rules which could be used.Good training for my brain :-)
Νothing interesting, simple application of logarithms
It was interesting. I can’t stop watching it
Everyone here is just saying is useless because they are going to use a calculator to solve it. The point of this videos is to be able to demonstrate the solution without it. I am not able to solve log 30 by myself but it is really easy to solve the logs he is using. In the other hand it is really useful to remember all the properties. i remembered 80% of them but it is nice to review them. Thanks man I love your channel.
@@mercurioneo Wow, thank you very much ♥️🙏
Nice explanation ❤
Thank you 🙂
After x is expressed as log of 30 devided by log 4 to the same base, everything else is pointless
That's exactly what I thought ... then use a calculator ... But the 'answer' arrived at is left in logs, so I guess there's instructions like "do not use a calculator, and simplify as far as possible to prime numbers etc" Otherwise it's wandering around quite a bit.
Every step after x = log30/log 4 is completely unnecessary.
It looks like he is teaching logarithmic properties, unless he is wasting our time😂😂
Советский школьник решил бы эту задачу в 3 раза быстрее. Не легче ли сразу было представить логарифм 30, как 2*15, а не разводить эту многоэтажную канитель!
Very clear, thanks!
You're welcome
Muito bom 👏👏👏
Obrigado! 😊
Result is 2.453… using only log30/log4 and not spending a lot of time. Finally, problem in video was not solve.
log_4(30)=x
Not bragging and I'm aware it was intended to be simple but I did this in my head in less than 10 seconds. Nice instruction.
You have complicated everything
I agree with you. The logarithms of 2, 3, 5… in base 10 are known.
✌️
This is easy. Simply divide Monday by Friday then multiply by the month or March.
Excelente solución, no se Queda con encontrar la Solución sino en verificar que si lo es.
♥️🙏
Everything he did after x=log30/log4, I said "Yeah, but why?" "Yeah, but why?" "Yeah, but why?"
I think you will find he likes logs. Some sort of addiction
@@ruperttristanblythe7512 I liked the change of base thing. I either didn't know or didn't remember that.
Elegant
2^2x=30=3×10
log2^2x=log3×10
x=(log3+log10)/2log2
x=(log3+1)/2log2
X=log3/2log2+1/2log2
Please simply apply log to base 10 to both sides and solve.
👌
Its teachers like these that make students hate math. Pointless, endless and robotic steps. What math exam paper would have enough time for this solution
Exatamente.
BRILLIANT ❤
La división de logarotmos es igual al logaritmo de sus argumentos ?. Chuta no recordaba eso.
start with 4=2^2 makes it shorter.
X=log4 (30)
Why you use log - just use log2 so log2 4 is 2... Log2 30 is between log2 32 and log2 16 - much more closer to log2 32 which is 5
I found this useful and interesting. Thanks
Glad it was helpful!
Your solution is unnecessarily complicated. First, simplify the given expression: 4^x=2^(2x). So, 2^(2x)=2\times 15. This implies 2^(2x)\times 2^(-1)=15, or 2^(2x-1)=15. Now take the log of both sides: (2x-1)\times log2=log15. Or, 2x-1=log15:log2, etc
Value of x?
Feleslegesen agyonmagyarázott!
🤗
Log 30/log 4 is enough or alternatively, log4 30.
Hanya menyederhanakan notasi, bukan menyelesaikan masalah.
Jadi berapa.nilai X???
VousX=ln30/ln4
Mais merci pour les astuces et démos.
♥️🙏
Solution presented is nicer than ln(30)/ln(4) ?
no
x = 1/2 log 30
2
✌️
the problem should state that x is a real number. if x (or rather z) were complex, then there are infinitely-many solutions.
Problem is that there is no definition of done for this problem.
Easiest solution would be log 30 base 4, using just definition of log.
4^2.454=30.02
Wow. Why I couldn't be bothered with Mathematics! What!😮
🤩
x=log 30 base 4=(log3base2+log5b2)/2 ans
LN30/LN4=x
boring so what is the numb er?
The number is log. Hope that helps.
Log 30/log 4?
Two and a bit?
If you were talking an assessment exam, you would not have the time to preform that many LOGS.
That’s great when you are a student in the classroom, but in the real world you only have so many
minutes to solve 30 and x. So what is quickest way to simplify a math equation like that?
4^x = 30
take the log to base 4 of both sides(because 4 is what is being raised to a power): log_4(4^x) = log_4(30)
which gives x = log_4(30)
since log_a(b) = log(b)/log(a),
x = log(30)/log(4) STOP THERE
Решал и не решил!!😂
X=5.5
4²+14
✌️
x = 2.45
Concordo
♥️🙏
Why you show many steps ?
x=2.4534
x=log30/log4
✌️
= 2,45344.....
✌️
5=10/2
This Is not a problem. Is Simply the definition of log base 4 of 30
From the viewpoint of someone who is not adept at logarithms, I have to accept each step as being sanely conceived.
But, each step leads to a sort of insanity leading to a true unreality.
2.4534 in 2 minutes with a basic calculator. Now to watch the video and see how I should’ve done it
I’m not a math guy but I like my answer better. I feel the “correct” answer is more a re-write of the problem than a solution.
Não é por nada que a galera que resolve estudar cálculos fica tudo meio birolaybe.
Why would you need to solve this problem in the real world? Give an example, please.
@@brian67101 Logarithms are used to scale measurements (e.g., sound intensity , distances, earthquakes, power, voltage, etc.) into something that is measurable and can be displayed on a computer screen or graph paper, so that it is viewable. Obviously not everyone will need them. But it’s the same with many other things. Everything in this life has a purpose, if you are not using it doesn’t mean it is useless. Even if you learn this at school it will serve to learn to think and you will use that analitical thinking in the future for other purpose.
طولها وهي فصيرة
Nice one
수준에 맞지 않는 풀이임.고등문제를 초등수준으로 풀고 있음.
Log b / log a is not log b/a continúe learning log
Хорошими делами прославиться нельзя , а вот такими - 22 тыс.за 6 дней можно
Дерзайте, покажите, что сможете лучше!
22 thousand logs?
@@ruperttristanblythe7512 Да уж , с этим не поспоришь )
4×4×1.875=30
30=4제곱 2.1875?
👍
2,455
This is so dumb
Directly
X=Log4(30) [Log 30 to base 4]
And this is the simplest form, because it has one term one Log .
Too complicated ..problem solving..
Tudo desnecessário ! Apenas pra complicar !
In a moment, there will be a "nice olympiad/entrance problem" of 4x = 8. What a kindergarten is this?
Nothing interesting about this wrong given problem😂
This is an olympiad problem in Germany? Tomorrow 2+2=x will be an Olympic problem...
In Germany they like their logs
Du n'importe quoi.
x=ln30/ln4 et stop.
On peut dire aussi :
x=log30 en base 4.
БАРАН ЧТО ЛИ
I beg your pardon?
Just use a calculator, it is this sort of video that puts people off maths, of what practical use is this?
I agree, it’s silly
Бред школьника…
🤮🤮🤮🤮🤮🤮😜😜😜😜
Terrible, because of people like you students hate math.
太逗了，比中國教師還可怕，還能再囉嗦點嗎😅😅😅
X is like 2,4499999999 an so on. Says my calculator. Close enough for mortal people.