Thank you for this, really helpful. One of the few resources that actually explain logarithms in a practical sense rather than just dumping a couple of mathematical properties.
this video is so underrated , this is one of the most informative videos about LOG EXPLANATION that I have seen on youtube this should be recommended to every student
I was so bored studying Logarithm and then felt exhorted to know the practical uses of it. Your depiction of the history behind it really made me enthusiastic. Thanks!
Regarding 0:45, following John Napier’s invention of logarithm tables in 1614, William Oughtred in 1622 invented the slide rule which was a calculating instrument utilizing logarithms to conveniently perform multiplication and division of numbers.
Just as a warning if you use this in class: when talking about water's pH: the audio says log -7 instead of -log 7 . It's great to check if students are understanding! Thank you for the video!!
I know how much 14x12 is, but it's not necessary to use an antilog table in conjunction with logarithms to find the answer. I know all the logs to three decimal places up to 100. If I add log 14 to log 12, I get 2.225. The characteristic of 2 tells me that I have a three-digit answer. If log 16 is about 1.204, then log 160 is about 2.204. And if log 17 is about 1.230, then log 170 is about 2.230. 2.225 is about 4/5 of the way between log 160 and log 170, so the answer must be about 4/5 of the way between 160 and 170. Therefore, the answer is 168. The unit digits of 14 and 12, when multiplied together, give me a units digit of 8. Logarithms involve some rounding errors, because the exponents involved are irrational numbers, but small errors can be dealt with by common-sense methods such as the one described above. Some mental calculators of the past used logarithms as shortcuts to determine the answers to difficult problems.
HNC in electrical and electronic engineering , which of course uses logs algebra with many brackets . This video is an absolute revelation . Thank you .
This reminds me, I don't remember exactly where I heard this, it was something on RUclips, but young kids just starting math tend to also think logarithmically in terms of numbers. If you ask a kid what half of 16 is, they're far more likely to say 4 then they are 8, because logarithmically 4 is halfway between 1 and 16
Ideally if I were to compute these logarithms I would go for all the prime numbers first bc those numbers are not factorable thus, it makes calculation easier for large scale of numbers up to 100k to make myself log tables.
Slide rules were often affectionately called 'guessing sticks' by engineers and were still widely used until the early 1970s when the first (very expensive) electronic scientific calculators were produced by manufacturers such as Hewlett Packard.
According to your presentation, searching many websites and found finally myself the solution as example 10^x = 2 or 3/4 or some # w/o data on log tables. This piece is important to understand how the science community 16th or later centures had been resolved data on log tables. Trying exponential graph too but it is not close to get proper numbers. Again, thanks so much for it !
@aliasgharkhoyee9501 Say that you measure the displacement of a point on the ground sideways or Vertically. If the displacement is one, You give it a ranking of one, Even the displacement test is too. You give it a number of two, And so on. There is no reason for an earthquake Measured at 8 Being several times the orders of magnitude of an earthquake Deemed a seven.
And then people say their is no creator. If we can build things with math and their is math in nature then surely their is a Developer who made all these things.
![The Most Useful Curve in Mathematics [Logarithms]](http://i.ytimg.com/vi/OjIwCOevUew/mqdefault.jpg)
Been teaching logs for about 14 years and this is the best video I’ve seen to help students understand their value. Thank you!
Logarithms are meaningless UNTIL you discover the slide rule. THEN it all makes sense and has a purpose.
Thank you for this, really helpful. One of the few resources that actually explain logarithms in a practical sense rather than just dumping a couple of mathematical properties.
Yeah, I wish I knew its use while in school
this video is so underrated , this is one of the most informative videos about LOG EXPLANATION that I have seen on youtube
this should be recommended to every student
I was so bored studying Logarithm and then felt exhorted to know the practical uses of it.
Your depiction of the history behind it really made me enthusiastic. Thanks!
Logarithms are meaningless UNTIL you discover the slide rule. THEN it all makes sense and has a purpose.
Regarding 0:45, following John Napier’s invention of logarithm tables in 1614, William Oughtred in 1622 invented the slide rule which was a calculating instrument utilizing logarithms to conveniently perform multiplication and division of numbers.
Just as a warning if you use this in class: when talking about water's pH: the audio says log -7 instead of -log 7 . It's great to check if students are understanding! Thank you for the video!!
Best explanation I've found on this subject online. Great work. Subscribed!
“Very Small numbers are made easier to deal with.. Thanks to Logarithms” 👍👍
This video really logs a rhythm :)
I know how much 14x12 is, but it's not necessary to use an antilog table in conjunction with logarithms to find the answer.
I know all the logs to three decimal places up to 100. If I add log 14 to log 12, I get 2.225. The characteristic of 2 tells me that I have a three-digit answer.
If log 16 is about 1.204, then log 160 is about 2.204. And if log 17 is about 1.230, then log 170 is about 2.230. 2.225 is about 4/5 of the way between log 160 and log 170, so the answer must be about 4/5 of the way between 160 and 170. Therefore, the answer is 168.
The unit digits of 14 and 12, when multiplied together, give me a units digit of 8.
Logarithms involve some rounding errors, because the exponents involved are irrational numbers, but small errors can be dealt with by common-sense methods such as the one described above. Some mental calculators of the past used logarithms as shortcuts to determine the answers to difficult problems.
HNC in electrical and electronic engineering , which of course uses logs algebra with many brackets .
This video is an absolute revelation .
Thank you .
I learned logarithms many years ago and felt I had to refresh my memory. This video was so good I'm going to recommend it to my friends.
This reminds me, I don't remember exactly where I heard this, it was something on RUclips, but young kids just starting math tend to also think logarithmically in terms of numbers. If you ask a kid what half of 16 is, they're far more likely to say 4 then they are 8, because logarithmically 4 is halfway between 1 and 16
i dont think a kid would think that and also what youre saying is that these kids give square root of the number
I loved the background music... So muchhhh soothing 🙂
It really was.
Ideally if I were to compute these logarithms I would go for all the prime numbers first bc those numbers are not factorable thus, it makes calculation easier for large scale of numbers up to 100k to make myself log tables.
Fantastic work and fantastic way of explaining
whatever the Video add History (timeline & scientists) ,the sound edit and examples just simple and effective 🤗
Slide rules were often affectionately called 'guessing sticks' by engineers and were still widely used until the early 1970s when the first (very expensive) electronic scientific calculators were produced by manufacturers such as Hewlett Packard.
Thats a really good video! Ver ywell explained and feels intuative. Thankyou!
This was well done. Thanks for the work you put into this
Thanks for giving your time....
It is just one of great presentation for log function. the best lesson to compare simple numbers for human presented by log.
According to your presentation, searching many websites and found finally myself the solution as example 10^x = 2 or 3/4 or some # w/o data on log tables. This piece is important to understand how the science community 16th or later centures had been resolved data on log tables. Trying exponential graph too but it is not close to get proper numbers. Again, thanks so much for it !
best explanation so far
Thank you it was a pleasure to whatch your vidéo
Amazing video. So, logarithms' real use to scale very large or very small numbers
Thank you for your valuable information
This video is really succinct.
Brilliant
Pretty good!
Thanks for the info
Thanks for the free education
Great vid.
Fantastic
Sliderules maybe the only thing Amazon code carry?
I am a dummy in maths but thanks to this video I could grasp the idea of logarithms
Amazing
wow I wish this was how my school teachers did to me for all subjects.
AMAZING
Why would they make the Richter scale like that? Earthquakes are pretty linear
What does that mean, how are earthquakes 'linear'?
@aliasgharkhoyee9501 Say that you measure the displacement of a point on the ground sideways or Vertically. If the displacement is one, You give it a ranking of one, Even the displacement test is too. You give it a number of two, And so on. There is no reason for an earthquake Measured at 8 Being several times the orders of magnitude of an earthquake Deemed a seven.
@@JavierBonillaC Then you'd need a larger scale, 0 to 10,000 or something. The log scale 0 to 10 makes it simpler.
@@aliasgharkhoyee9501 why? Is seismic behavior exponential? In what way?
What is the log of love to the base human?
Life.
It is "sex"....More is the sex, more is the love
Maybe AI as hot topic now
The *reciprocal* of that value was characterized by Huey Lewis and the News in 1985: ruclips.net/video/wBl2QGAIx1s/видео.html
👍
If teachers..... nvm
This video does absolutely nothing to explain logarithms that I can understand
Jaina MATHEMATICIANS came first
And then people say their is no creator. If we can build things with math and their is math in nature then surely their is a Developer who made all these things.
Denying the designer's existence is easier when you ignore all the obvious designs and constants surrounding us.
Stup|d argument, if what you say is true, deformities, violence and cruelty are the design of god
Conversely, it's easy to deny a designer's existence when you see all the "flaws" in nature.
@@Mindlagoon so everything in universe is all by itself and their is no creator. wow thanks man your argument is very logical 😂😂😂😂
The “creator” obviously didn’t give followers the ability to spell.
Logarithm was invented by muslim called "Al-khawarzmi"
Dint he create algebra?