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15 - What is a Logarithm (Log x) Function? (Calculate Logs, Applications, Log Bases) 

Math and Science
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28 сен 2024

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Комментарии : 486   
@callofduty4702
@callofduty4702 4 года назад
You are an excellent teacher. I love the practicality that you put in your lessons. This is worth gold.
@MathAndScience
@MathAndScience 4 года назад
Thanks so much David!
@gav-ce5cm
@gav-ce5cm 3 года назад
Hi david
@mathsfamily6766
@mathsfamily6766 3 года назад
You are the explainer!love your lecturing
@rajendrapatnaik9976
@rajendrapatnaik9976 3 года назад
My mathematics teacher Rout didi was also equally good like you.
@mathsfamily6766
@mathsfamily6766 3 года назад
@@rajendrapatnaik9976 great
@petercollins4516
@petercollins4516 Год назад
Incredebale : I am French, 80 years old and I follow your wonderful curse with passion: Because despite my bad English knoledge I found out that all yours curses are quite comprehensif and clear. I wish i coud have encounter such a Professeur when I was yung: Congretulation and great respect for such a talent of pedagogy, Peter.
@tonybatycki
@tonybatycki 7 месяцев назад
Much respect, Sir
@l.s.754
@l.s.754 4 года назад
Perfect. You are the greatest teacher. Reason being, you try to explain, bases, so one can understand and derive a conclusion. Most university professors teach to confuse. They use the jargons, to show how smart they are, rather than make sure that student gets education. Great job.
@farjanasharminswarna2450
@farjanasharminswarna2450 4 года назад
Thanks a lot for putting so much effort to teach us all these amazing stuff, Sir. I missed out all these details in high school and now when I am in college doing my Bachelor in Electrical engineering, I wish I could go back to that time and learn all the things that my teacher didn't taught. Now that I have a LOT of time for the COVID-19 situation, I am using this time to watch your tutorials as much as possible. This is helping me A LOT to clear my doubts. You have a gift of teaching. Wish I had teachers like you here.
@sethfrederick1336
@sethfrederick1336 2 года назад
Too heavy on the words girl dude,
@guymunson4863
@guymunson4863 3 года назад
Thanks for the first full explanation on logarithms that I have ever found. It's cleared up everything. You are easily the best teacher online.
@tylersteffensen9268
@tylersteffensen9268 Год назад
This video nailed it, I was looking for how logarithms are useful in practice and the Richter scale example got me that much closer to understanding.
@94233psu399154112333
@94233psu399154112333 3 года назад
I’ve been an engineer for 36 years. I struggled for a bit early on.. I wish I had a teacher like this guy, as I know I would have done better and not have had the early doubts about my chosen profession. He needs to teach teachers…
@lachuck2476
@lachuck2476 2 года назад
Amazing story.
@流星-i7q
@流星-i7q 2 года назад
Me 25 years of being engineer and now a teacher. But what this guys doing is beyond all my abilities of teaching
@ericmunene8521
@ericmunene8521 Год назад
Am 24yrs struggling with my mastery of digital signal processing. This guy is a miracle for me
@shetheyithe8894
@shetheyithe8894 Год назад
I am studying about it .
@Bbbbbbbbbbhhhhhhh
@Bbbbbbbbbbhhhhhhh 11 месяцев назад
I’m going for engineering too, maths and physics were not strong points for me at all, but watching videos and studying has really put me in a better place even if I feel overwhelmed. It’s because of people like this guy and also the organic chemistry tutor that I have got better at physics and maths in many ways, enough to start understanding the things I am doing more and more. Amen for these people bro.
@22niloc
@22niloc 11 месяцев назад
Very grateful to you for putting this out. I'm beginning a new career in data analysis and you've helped me take a whole step forward in a 45 minute lesson.
@vascobishop6834
@vascobishop6834 3 года назад
Effort, Effort and more effort from someone who wants to educate and share the secrets of maths with the world. A magician with maths on a mission to make us all to become aware of some of the mysteries of this planet.
@kimberlydavis7322
@kimberlydavis7322 2 года назад
Thank you so much for actually explaining these math functions...it really helps to retain information when you understand how and why they're applied
@Imustfly
@Imustfly 4 года назад
A logarithm is simply an exponent used to describe all the numbers that fall in between the whole number exponents (2,3,4,5,6,7 etc) powers of 10. Ex. The number 180 can be described as 10 raised to the 2.2552725021 power, whereas 500 is 10 raised to the 2.69897000434 power. I remember teaching logs in the USAF as a recon tech/instructor for students in the photographic science career field. We taught the short cut that for a POSITIVE number, the Characteristic (whole number portion of the exponent) was a number that was ONE LESS than the number of digits immediately to the left of the decimal point. For negative numbers, the Characteristic was one more than the number of zeros immediately to the right of the decimal point. The mantissa was found in the log chart, if my memory serves me correctly. So,..for the number 12,657.00, the Characteristic is 4, since there are FIVE numbers to the left of the decimal point . For the number .000027 the Characteristic is -5 since there are four zeros to the right of the decimal point.
@DikchyantAdhikari
@DikchyantAdhikari 3 года назад
You are a blessing, you make learning worth it. Math never seemed as interesting before. Thank you!
@olydnk5270
@olydnk5270 4 года назад
Just understood logarithmic transformation. Important in Epidemiology .Thank you very much. What a teacher!
@jmcuzzupe84
@jmcuzzupe84 3 года назад
You’re a great teacher … thanks for your tutoring … I’ve been taking online courses towards my degree in mechanical engineering, and you know, every little bit helps.
@nelibethluna-zm7ft
@nelibethluna-zm7ft Год назад
Thank you so much, Sir. Your explanations are truly helpful. Wish the hidden videos wont be hidden anymore. Anyway, I am still truly grateful. God bless you for generously and patiently making these worthwhile and very helpful videos.
@jonathansiegel2818
@jonathansiegel2818 3 года назад
Notice that K is on the X axis and N is on the Y axis for the exponential function; and N is on the X Axis and K is on the Y axis for the Log function. And The BASE IS NOT ON THE AXIS
@elainekhonggoh9335
@elainekhonggoh9335 3 года назад
Before this video, Log was just a button on the calculator. But your video changed that ! Loved your energy, and you made everything so clear.
@LeahMiller-m6e
@LeahMiller-m6e 8 месяцев назад
This was extremely helpful ! Thank you so much for making these concepts so practical and easy to grasp . You are brilliant and much appreciated ! 😊
@ODHIAMBOMAVINOTIENO
@ODHIAMBOMAVINOTIENO Год назад
I admire being teacher having the same passion and momentum you exhibit
@hgaubaul
@hgaubaul 10 месяцев назад
If only I had you as my teacher. I would have past every class in my young days!
@iot3136
@iot3136 2 года назад
You are an amazing teacher ♥️♥️♥️🙏
@Rajb90
@Rajb90 3 года назад
The best teaching method, thank you sir
@manando1679
@manando1679 3 года назад
just brilliant. if my teacher had t(r)eached me the way you do, I would have loved math back in the days at school.
@jhecht99
@jhecht99 4 года назад
this guy is an excellent teacher.....I want to thank him personally
@GreenishLisa
@GreenishLisa 10 месяцев назад
Im so grateful for you sir. Learning a lot because of you.
@nandakumarcheiro
@nandakumarcheiro 3 года назад
Thank you very much sir.Combustion time required out of specific volume of combustion with rate of ignition required for example the spark plug can be adjusted in terms of voltage based on rate of energy release.
@irfankhan-hr1eb
@irfankhan-hr1eb 2 года назад
i have no words to appreciate this impressive hard work .👍👍
@elismantovani3638
@elismantovani3638 4 года назад
I loved your lesson! You explained it very well and bring also so many plus informations! It was excellent!
@SetsoEzekielPorogwane
@SetsoEzekielPorogwane 8 месяцев назад
Good teacher
@kyawzinthant8442
@kyawzinthant8442 Год назад
Thank you. 💪 Love this video a lot. 🙏 Now I am clear about logarithm.
@mathsenduku7433
@mathsenduku7433 3 года назад
Just brilliant sir
@eddyboyblues
@eddyboyblues 2 года назад
awesome teacher.
@alexz3901
@alexz3901 7 месяцев назад
Logarithm of a number is the power to which you must raise the base to get the number
@SixStringsAndBeyond
@SixStringsAndBeyond 3 года назад
i like your quest for understanding. thank you for the time and effort you put into making these videos. have subscribed.
@stephenmogga6510
@stephenmogga6510 2 года назад
I like your all lesions
@hamieh1
@hamieh1 4 года назад
Man you are inside my mind , you are the best .
@MM-dj2cv
@MM-dj2cv 2 года назад
BRAVO GOOD EXPLAINING
@260bill260
@260bill260 4 года назад
Excellent. Thanks for being a great teacher.
@wakefieldyorkshire
@wakefieldyorkshire 4 года назад
THANK YOU from my heart i really mean it, THANK YOU
@niceguy4801
@niceguy4801 3 года назад
Thank you sir!
@matins7327
@matins7327 3 года назад
Excellent teacher!
@soontobe2197
@soontobe2197 3 года назад
highschooler here ! Thanks for clearing it up for me ;)
@ashokekumarsen7919
@ashokekumarsen7919 2 года назад
Thank u professor!!
@born-in-kitchen
@born-in-kitchen 3 года назад
wonderful explanation....sir There is a request ..if u can explain in one video ..how can we Integrate of antilog of any function?eagarly waiting for ur valuable ans...
@carultch
@carultch 2 года назад
The antilog of any number is just the base raised to that number. So y=antilog_b(x), would be equivalent to the equation y=b^x. To integrate y=b^x, it is a simple matter of re-writing it in terms of base e, since base e has all the special properties of exponents and logs in calculus. Any b^x expression, where b is positive/real, can be re-written as e^(ln(b)*x). Thus we have: y = e^(ln(b)*x) In order to carry out the integral, we need to generate the derivative of the inside term, out in front. So we multiply by 1, in a fancy way: y = ln(b)/ln(b) * e^(ln(b)*x) Pull 1/ln(b) out in front of the integration: 1/ln(b) * integral ln(b) * e^(ln(b)*x) dx Let U = ln(b)*x. Therefore, its derivative dU = ln(b) * dx. Re-write in terms of U: 1/ln(b) * integral e^U dU Integral of e^U dU = e^U. Thus we have as our result: 1/ln(b) * e^ln(b)*x + C Which we can also write as: 1/ln(b) * b^x + C
@munifmahmoud6513
@munifmahmoud6513 2 года назад
Excellent well done.
@TheFarmanimalfriend
@TheFarmanimalfriend Год назад
I made the same assumption. Infact a magnitude 9 earthquake is 30 times more powerful than a magnitude 8, I assumed it was 10 times more powerful.
@TheFarmanimalfriend
@TheFarmanimalfriend Год назад
Therefore a magnitude 9 earthquake is 900 times more powerful than a magnitude 7 earthquake, not 100 times more powerful.
@mrtams24
@mrtams24 9 месяцев назад
Thanks
@alangamer2017
@alangamer2017 Год назад
Thank you
@MathAndScience
@MathAndScience Год назад
You're welcome
@amikhimji
@amikhimji 4 года назад
Very nice video thanks
@thatomofolo452
@thatomofolo452 Год назад
Fantastic 👍👍😊
@TheByzmal
@TheByzmal 3 года назад
I heard from a math teacher that the radical is the inverse of exponents, now you say logarithms are. Which is it?
@MathAndScience
@MathAndScience 3 года назад
No radicals ARE exponents. They are fractional exponents.
@marvinwalker1654
@marvinwalker1654 2 года назад
be blessed i like it but would like it in dutch i'm from suriname (nederlands)we speek dutch ,sranang tongo....
@eggmacthevegan2898
@eggmacthevegan2898 3 года назад
Great great great content 👍👍👍 thank you
@offthechainwsyw
@offthechainwsyw 4 года назад
Hi Jason, do you have the full list for this entire section? I am a member too. Can’t find the full list on RU-vid or the member's website
@MathAndScience
@MathAndScience 4 года назад
Hi Vina, the unit isn't completely done yet. Rather than sit on what I have, sometimes I post videos to youtube for free. As you know, the member's area has a great many additional video lessons. All of these lessons of this unit will be posted to the member's area in due time. I hope this explains things. And I am very happy you like that lesson! I poured many, many dozens of hours into the logarithms and exponential functions lessons and I can't wait for you to see them all. Thanks again and good luck in your studies! Jason
@offthechainwsyw
@offthechainwsyw 4 года назад
Hi Jason, words can’t tell how much we appreciate your work. Can’t wait to watch the new videos :)
@MathAndScience
@MathAndScience 4 года назад
@@offthechainwsyw Awww, thank you so much! I really appreciate it!
@aqua6183
@aqua6183 3 года назад
you change my confusiom on matj pronlem tjanh you very much,
@Geezweez788
@Geezweez788 8 месяцев назад
So logs quantify the unquantifiable.
@nathanscherchen6051
@nathanscherchen6051 2 года назад
Like this mathematics is more easy
@racquelsabesaje4562
@racquelsabesaje4562 Год назад
logarithm comes from the greek word log logos which means study arithm mathematics
@ilhamtalpur6363
@ilhamtalpur6363 3 года назад
Radicals give base Logarithmic give exponent
@getachewabebe4368
@getachewabebe4368 3 года назад
good
@yohannesslomone2126
@yohannesslomone2126 3 года назад
thaks fantastece teacher
@MathAndScience
@MathAndScience 3 года назад
You are very welcome!
@axelmeramas976
@axelmeramas976 4 года назад
greate explication thank you
@MathAndScience
@MathAndScience 4 года назад
Glad it was helpful!
@l.s.754
@l.s.754 4 года назад
Perfect. You are the greatest teacher. Reason being, you try to explain, bases, so one can understand and derive a conclusion. Most university professors teach to confuse. They use the jargons, to show how smart they are, rather than make sure that student gets education. Great job.
@hermitcard4494
@hermitcard4494 3 года назад
This types of classes are even better than real time live online streaming. Being able to stop the video, rewind, replay is AMAZING and USEFUL.
@charleslowe522
@charleslowe522 2 года назад
These classes are the best, I really wish I would've had something like this at my disposal when I was in college. Especially when I took engineering physics II, because I had no notion of electrical or magnetic fields or properties.
@adammcallister9675
@adammcallister9675 2 года назад
These series do an amazing job of how they explain as well. It is very polished and eliminates a lot of the need for a live person by being so clear and well presented.
@kenthaugum8671
@kenthaugum8671 Год назад
​@@charleslowe522¹¹q¹qy
@putinscat1208
@putinscat1208 Год назад
Yes, when they are good. The only advantage to live is the ability to ask questions.
@whipmakingjosy1759
@whipmakingjosy1759 4 года назад
if you used to be my teacher when I was young I would certainly have graduated, nice job
@alvaropena5540
@alvaropena5540 4 года назад
You would have certainly passed math. English, I'm not so sure about.
@kaili1094
@kaili1094 2 года назад
Have an amazingly clear vision of Logarithm now, but I have to follow you to the next class when my memory is still fresh! I can't express my appreciation for this teacher. You are amazing.
@kimbell6689
@kimbell6689 3 года назад
This is the BEST lesson on logs I have found. You, as a teacher are VERY good at your craft! Thank you so much for making this video.
@cjoarder
@cjoarder 2 года назад
Wonderful explanation. Logarithm is now demystified for me. Love to see more like this. You are a GREAT teacher. God Bless you!!
@Special-Opss
@Special-Opss 3 года назад
WOW, this absolutely stomps on any academy lessons... You explained it all without assumptions that we already know something... Absolutely great instructor!
@JohnLincolnUSA
@JohnLincolnUSA 2 года назад
You are a superb teacher….why weren’t there teachers like this when I was having my early education!
@mrgeorgejetson
@mrgeorgejetson 2 года назад
Great lesson! And man... that "It's a button on your calculator" story at the beginning really speaks volumes about terrible teachers with incurious minds everywhere. Just brutal.
@Max47340
@Max47340 3 года назад
Oh man, you are the best math teacher on earth, period! God has given you extraordinary talents to help humankind, thank you sir!
@isaiahperez1115
@isaiahperez1115 3 года назад
He has cultivated his talents through hard work and dedication, no magic necessary.
@rosannfitzekam5315
@rosannfitzekam5315 3 года назад
I read your bio and am amazed that a literal rocket scientist can explain things so clearly that the rest of us "normal" people can understand them. You are a great communicator and clearly care about your students. Thank you so much!
@TheBackyardProfessor
@TheBackyardProfessor 3 года назад
I LOVE, LOVE, LOVE how you explain things so very easy and thorough. You are without question my very favorite math you tube source. You ARE appreciated! I bought all your set of DVD's years ago - like 30 of them, the algebra, trig, and calculus series. Absolutely sensational. Now I am enjoying you on you tube. You have actually gotten MORE thorough through the years! I LOVE THIS!
@MathAndScience
@MathAndScience 3 года назад
Awww thank you so much!
@forexkenya1
@forexkenya1 8 дней назад
I wish you were my math teacher in high school. I could score every thing
@akmzahidulislam2764
@akmzahidulislam2764 3 года назад
I'm a 60 y/o, engineer. Relearned from you how to make the math concepts clear to the students and instill enthusiasm in the receptive minds. This class i would rate the best ever on this topic. Wish you had been my teacher 45 years ago. Love you teacher!
@mariocesarsousa
@mariocesarsousa 4 года назад
I remember how strange it was this funtion. It seemed useless and strange. Your explanation clears out my mind and proves its importance. The digits representation , the number of zeros, were never taught when i was at school. The Richter scale explanation was awesome. To know what the graphs are about when earthquakes appear as TV news or science news is really interesting, and the most important of all is that you help people understand it. And That's what you are doing in such a clear and motivated way. Thank you very much for giving the best in your teaching. 👨‍🏫
@beaubuffington
@beaubuffington 3 года назад
You are truly an amazing teacher! You teach with confidence, and that inspires confidence! Thank you! Finishing a civil engineering degree after 30 years with your assistance....
@charlesmitchell5841
@charlesmitchell5841 Год назад
You are a good teacher but sometimes you go too fast. If you slowed down just a little bit then maybe I wouldn’t have to rewind so much.
@simpleman283
@simpleman283 7 месяцев назад
You can adjust the play speed. It looks like a gear, at the bottom of the page. I use the custom setting to 85%
@bma6469
@bma6469 3 года назад
Awesome teacher, you make a scary topic less problematic. I need that Math and Science T-shirt. Where do I get it?
@achseasonsinvestment5474
@achseasonsinvestment5474 3 года назад
You deserve your title as a teacher thanks so much you have helped me understand a lot of stuff that my own teacher was failing to teach me now im certain that im going to pass my exams all i need is to follow your videos.
@MathAndScience
@MathAndScience 3 года назад
That is great!
@raymondallenjhangiani7670
@raymondallenjhangiani7670 3 года назад
Wonderfully explained 🙏 God bless you for the effort , time and patience you have put into the priceless knowledge you share 🙏🙏🙏🙏 thank you Sir 🙏
@ponzianomanning3071
@ponzianomanning3071 3 года назад
Now I understand the math of Logarithms - Log1000 x better than ever. Thank you!
@simpleman283
@simpleman283 3 года назад
That's not even an exaggeration.
@charlesackman6778
@charlesackman6778 3 года назад
I am 65yrs old and for the 1st time someone has explained that the base is not a counting system, but a coefficient. The u young man
@infinitelyeasy368
@infinitelyeasy368 3 года назад
Nomoskar( hello)🙏 sir I'm from India 🇮🇳 ( Kolkata). Please make more videos.
@rezahasan25
@rezahasan25 4 года назад
One of the best learning channels . God bless you!
@MathAndScience
@MathAndScience 4 года назад
I appreciate it!
@ranierymonteiro4135
@ranierymonteiro4135 4 года назад
Another great lesson, I appreciate the way you shared your knowledge. Greetings from Brasil !
@l.s.754
@l.s.754 4 года назад
Perfect. You are the greatest teacher. Reason being, you try to explain, bases, so one can understand and derive a conclusion. Most university professors teach to confuse. They use the jargons, to show how smart they are, rather than make sure that student gets education. Great job.
@BestoftheClassofVictory
@BestoftheClassofVictory 8 месяцев назад
Nobody has ever taken the time to help me at anytime in my life This is the first time I am beginning to understand something meaningful, beautiful about the world I live in I would like to become a constitutional Law student at Broklyn Law school in New York, but I dont see it becoming real eventually I woukd like to attend The London School of Economicss, and comeback home to help the US government with their Budget Defecit issues I dont see how I could possibly pay for all this but I will take it one day at a time... Thank you for helping me, and I hope your time will not go in It will make me happy tosee my dreams come through
@Aijsz2
@Aijsz2 2 года назад
Hoi! Deze leraar is ZO goed man , te gek.
@dbharathi2003
@dbharathi2003 2 года назад
Awesome. More energy in video and easy to understand
@beethovensg
@beethovensg 4 года назад
A simply difficult, and easily confusable topic is so eloquently and emphatically understandable. Terrific presentation by an inspirational teacher. And he's a mathematician.
@MathAndScience
@MathAndScience 4 года назад
Thanks so much! I appreciate it!
@timgubler3584
@timgubler3584 2 года назад
The richter overlay made me laugh
@andreasandre4756
@andreasandre4756 2 года назад
differentiate functions - input-output - by strengthening,. Indicates the indicator by which the foundation must be raised to obtain the specified power.
@andreaswimmer6864
@andreaswimmer6864 2 года назад
Heard it all before,never understood why What a great teacher! And I am so much more ravenous for knowledge then this ignorant and lazy high schooler I used to be
@oga657
@oga657 2 года назад
Great 👍👍👏 Thanks a lot👍
@Songfugel
@Songfugel 2 года назад
This was so well approached, and the opening explanation was exactly the reason I've had problems for the past 30 years as an engineer every time I have to use logarithms. I always knew how to use them, but never truly understood them until I absolutely had to when I jumped into machine learning and data engineering. ps. anyone else noticed how all mathematical & engineering men seem to gravitate to this exact same handwriting? It is the exact same as mine, and in almost all videos I've seen recently, they use the exact same style and look, even down to small quirks in it. However, female engineers and both men and women in other fields, tend to have quite different, way more flowy handwriting, even when using the same handwriting style
@MukelaLiywalii-zm4qr
@MukelaLiywalii-zm4qr Год назад
I'm Mukela Liywalii from Zambia I'm a first year student from ZAMCO college I'm doing maths and Zambian languages.sir I appreciate to your explanation.Hoewever, I'm bite behind to the last part I need remideo work sir.
@ayushchavan2741
@ayushchavan2741 4 месяца назад
I'm so addicted to his coloured marker pens😮😮 and my mind is 🤯 when he uses green on the graph. OMG so artistic. Jokes apart, we should actually save his intuition based teachings for the students in the post apocalyptic times in the future. ... seriously.
@patk5724
@patk5724 9 месяцев назад
And also mathematically all log bases can be referred back to log of the base 10 in terms of the same problem log base 2 of 8... 2^x = 8... x = log base 10 of 8 divided by log base 10 of 2 in which x = 3 By use of a calculator.
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