What are natural logarithms and their properties

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  • เผยแพร่เมื่อ 25 พ.ย. 2024

ความคิดเห็น • 325

  • @brianmclogan
    @brianmclogan  ปีที่แล้ว +11

    Simplify the logarithms with different bases - th-cam.com/video/il97omC0azs/w-d-xo.html

  • @CocaBrunel
    @CocaBrunel 3 ปีที่แล้ว +651

    I'm re-learning this for University. Pay attention now guys, you'll save lots of time in the future.

    • @tomaschazarreta1263
      @tomaschazarreta1263 3 ปีที่แล้ว +27

      Most of the material is so boring, no matter how well you may understand it 25 minutes before a test, a couple of years later there is no way you will still have the abilities to do the calculations

    • @Michael_Cope
      @Michael_Cope 3 ปีที่แล้ว +11

      Relearning in AP Calculus B/C for some rough derivative problems lmao wish I learned this back in Algebra 2 or whenever I was supposed to

    • @lynxrbeam8732
      @lynxrbeam8732 3 ปีที่แล้ว +12

      What’s funny is I learned this already last year mostly from these videos. And forgot all of it. Coming back to the same place cause it’s the only way I live found that makes it make sense. Ik im gonna forget it again though. You only remember what you use commonly.

    • @Christopher._M
      @Christopher._M 2 ปีที่แล้ว +4

      @@lynxrbeam8732 that or what you understand deeply.

    • @celinemhoumany
      @celinemhoumany 2 ปีที่แล้ว +1

      Agreed

  • @viv__s
    @viv__s 5 ปีที่แล้ว +431

    God damn Marissa

  • @raycravetz846
    @raycravetz846 4 ปีที่แล้ว +510

    Watching this in 2020 and Marissa is still chatting in the background

    • @Cord741
      @Cord741 4 ปีที่แล้ว +24

      she was a problem fr

    • @wesleydonovan4262
      @wesleydonovan4262 3 ปีที่แล้ว +15

      lol....watching this in 2021, and Marissa is still chatting in the background!!!

    • @someonesomeone3126
      @someonesomeone3126 3 ปีที่แล้ว +7

      @@wesleydonovan4262 LOL yup to this day

  • @nabeelaissa5763
    @nabeelaissa5763 4 ปีที่แล้ว +64

    This clarified more than an entire lesson at school in 4 minutes, THANK YOU!

  • @marianandnorbert
    @marianandnorbert 4 ปีที่แล้ว +1340

    isn’t it kind of sad that we need to watch youtube videos about what we need to be able to do in school because of how badly we actually learn things in school itself

    • @joshhhh___
      @joshhhh___ 4 ปีที่แล้ว +45

      Not really.

    • @drew7311
      @drew7311 4 ปีที่แล้ว +92

      @@joshhhh___ schools should at least be able to teach the curriculum they test kids on, so yes, it is sad

    • @marianandnorbert
      @marianandnorbert 4 ปีที่แล้ว +6

      @Joe fair enough but like I read a lot of comments from others who kept saying they needed to know it for school but they weren’t taught it properly

    • @davecullins1606
      @davecullins1606 4 ปีที่แล้ว +9

      Yeah, it would be nice if they were at least as good as TH-camrs at teaching.
      But then again, not all people will be able to learn the same thing from the same teaching technique, so how could the teacher teach this so 100% of all students learnt it?

    • @vengeance6060
      @vengeance6060 4 ปีที่แล้ว +14

      No you just don’t concentrate enough, like me lol

  • @chettdaniels577
    @chettdaniels577 4 ปีที่แล้ว +120

    This dude right here saves my butt every time lol

  • @tytolman2718
    @tytolman2718 4 ปีที่แล้ว +50

    This man is a very good teacher. Explains principles very clearly and understandably. Thank you!

    • @AbbieSmith-y2y
      @AbbieSmith-y2y ปีที่แล้ว +2

      woman

    • @maskedmarvyl4774
      @maskedmarvyl4774 ปีที่แล้ว +1

      He teaches it as if you already understand all of the principles and procedures. That isn't teaching; that's reviewing.

  • @sharirHariparsad
    @sharirHariparsad ปีที่แล้ว +15

    Be glad that they teach this stuff in high school. In my country, we never saw this stuff due to our collapsing education department. As an engineering student having to learn calculus without this stuff I can say that these videos are a ton of help

    • @brianmclogan
      @brianmclogan  ปีที่แล้ว +7

      So happy to be able to help you out?!’

    • @ItzThermal
      @ItzThermal ปีที่แล้ว +1

      @brianmclogan In our textbook, its just log x and not ln x there is just a single line in the textbook(which like no one reads) which says that log (base e)x is equals to log x in further exercises and thats it. None of my classmates dont even know whats e or its value or properties.

    • @TheRojo387
      @TheRojo387 ปีที่แล้ว

      ​@@brianmcloganPowers of two…A viable shortcut…

  • @Andyt0531
    @Andyt0531 5 ปีที่แล้ว +199

    Yeah! Marissa!

  • @hans3331000
    @hans3331000 4 ปีที่แล้ว +78

    4th year nuclear engineering here: Thanks man, we use it so much sometime we forget what it really means.

    • @ThefamousMrcroissant
      @ThefamousMrcroissant 3 ปีที่แล้ว +9

      Same for me. 4 years of Mathematics and only 2 years later I forgot almost everything. Just shows how incredibly inefficient learning is without applying anything ever.

    • @tomaschazarreta1263
      @tomaschazarreta1263 3 ปีที่แล้ว +1

      @@ThefamousMrcroissant lol, if you are studying fucking math, then when the hell am i going to use this bs for my finance major?

    • @PrincessCupncake
      @PrincessCupncake 3 ปีที่แล้ว +7

      To calculate compound interest

  • @dominikbaricak9589
    @dominikbaricak9589 ปีที่แล้ว +3

    Wow. Perfect explanation. For some reason I completely miss natural logs in learning math throught years and now I have them at university. Videos like this make our lifes easier.

  • @drumpfbad5258
    @drumpfbad5258 5 ปีที่แล้ว +36

    *m a r i s s a n o i s e s*

  • @graciesargood6368
    @graciesargood6368 4 ปีที่แล้ว +290

    Anyone here learning this for high-school 😂

    • @owenmorris404
      @owenmorris404 4 ปีที่แล้ว +10

      Yeah course but we don’t call it high school it’s sixth form

    • @liamels6282
      @liamels6282 4 ปีที่แล้ว +42

      anyone relearning this for college cause they forgot it from high school

    • @tsukinemu1497
      @tsukinemu1497 4 ปีที่แล้ว +10

      @@liamels6282 I'm in college and I don't even remember if I learn it in highschool or not
      I don't even know what it is

    • @hageraliart
      @hageraliart 4 ปีที่แล้ว

      Meeee

    • @phabidz
      @phabidz 4 ปีที่แล้ว

      I'm relearning it

  • @Sultan_A
    @Sultan_A 8 หลายเดือนก่อน +1

    Excellent, Brian McLogan and Keep It Up, You Were Doin’ Very Well! ✨

  • @RajSingh-qf2yz
    @RajSingh-qf2yz 6 ปีที่แล้ว +75

    Amazing. Thanks for the clear and easy explanation!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +20

      you are very welcome!

  • @ANTI-CANTTV
    @ANTI-CANTTV ปีที่แล้ว

    We’ll done. I am helping my College daughter with this and this was very clear. 🙏🏾

  • @roohijaiswal1403
    @roohijaiswal1403 4 ปีที่แล้ว +1

    Bohot acha laga sir ye session dekhkar.. Me Vidya Guru ke sessions se bhi kafi kuch seekha hai.. Unke teachers exam relevant important questions kafi easy methods se karwate hain.

  • @Poppinwheeeeellllllieeeeez
    @Poppinwheeeeellllllieeeeez ปีที่แล้ว +6

    I have geophysics degree and I watch these videos to remind myself from time to time. This guy does a good job explaining it. Marissa is prob going to do FINE ARTS.

  • @Extremo192
    @Extremo192 ปีที่แล้ว +1

    wow what a fantastic explanation it was very confusing and annoying topic but now its easy thank you sooooooo much

  • @NotMe-nh8kg
    @NotMe-nh8kg 4 ปีที่แล้ว +24

    Systems engineering major, you help so much.

    • @Voltaic314
      @Voltaic314 3 ปีที่แล้ว

      Yep, electrical engineering student here. 🙂

  • @The1TrueFoxMcCloud
    @The1TrueFoxMcCloud 6 หลายเดือนก่อน +1

    Was explaining 2 my friend how lock picking in Bethesda games is like the bisection method search algorithm with a time complexity of ln(n) where n is the size of the list you're searching and remembered oh wait its log base 2 becuz you cut the list in half with each operation and realized i don't remember what natural log even is and then i was like.. i think its base e but wut is e? Suffice to say this video did not answer my question but sure did take me back and this guy seems like a pretty good teacher, MARISSA

  • @Yoyoyo812
    @Yoyoyo812 4 ปีที่แล้ว +5

    These kids don't understand how good a teacher they have

  • @a.human.
    @a.human. 3 ปีที่แล้ว +1

    Computing and IT major, you just saved my life man

  • @jonaptschage2843
    @jonaptschage2843 ปีที่แล้ว

    Thank you for the wonderful explanation.
    I would only argue that ln(x)=ln(y) is not the same as ln(e^x) = ln(e^y)

  • @gib6427
    @gib6427 4 ปีที่แล้ว

    Electrical Engineer Student studying for degree here and this helps a lot thanks!

  • @RageMagikarp
    @RageMagikarp 3 ปีที่แล้ว +1

    My professor in college has all his lectures online, but certain concepts just don't click for me how he explains them. You make it make sense though, and I appreciate that

    • @brianmclogan
      @brianmclogan  3 ปีที่แล้ว +2

      You are
      Very welcome!!

    • @ApexSpykey
      @ApexSpykey 2 ปีที่แล้ว

      @@brianmclogan Yh I think you are a great teacher

  • @firefoxuser2557
    @firefoxuser2557 4 ปีที่แล้ว +7

    simple, informative and rather fun way of teaching. wished you were my calc teacher!

  • @eeggrksttmm1565
    @eeggrksttmm1565 4 ปีที่แล้ว +12

    You are a great teacher. Thank you, Brian.

  • @LiaMathur
    @LiaMathur 10 หลายเดือนก่อน

    Thank you sir!!
    Now I can understand questions easily.....thank you once again

  • @s.h.1991
    @s.h.1991 3 ปีที่แล้ว

    You’re the best teacher ever

  • @meeeerv_8113
    @meeeerv_8113 4 ปีที่แล้ว +9

    Thank you for an awesome explanation!! I really learned a lot!

  • @mrblue2052
    @mrblue2052 ปีที่แล้ว

    Automation engineering major here, Thank you so much.

  • @sakshu_24
    @sakshu_24 2 ปีที่แล้ว

    Thank You Sir
    Love From India❤️

  • @elle_delli834
    @elle_delli834 2 ปีที่แล้ว

    this man is a lifesaver

  • @kristena343walls
    @kristena343walls 6 หลายเดือนก่อน +1

    Nice sir . thank u so much.

  • @thebigbananabigverybig921
    @thebigbananabigverybig921 3 ปีที่แล้ว +2

    Omt thank you sooo much, I needed to understand natural logs for biology, and we haven’t gotten to that in my math classes!

  • @sfbluestar
    @sfbluestar 5 ปีที่แล้ว +15

    I don't know if this is meant to be part of a bigger course, but this video can be much better if it explains why one would ever want to know what "ln X" is.

    • @davecullins1606
      @davecullins1606 4 ปีที่แล้ว +1

      The only case I know of is if you're doing statistical research and you have populations from huge countries in your data. Then instead of saying that the population is 50.000.000, you just instead say "ln (50.000.000)" and write whatever that number is instead.
      Supposedly it makes it easier to see percentual changes in the population when the population grows exponentially, but I've no idea how that works. All I see is that the number "50.000.000" suddenly is "17.7" and "6.000.000" becomes "15.6".

    • @sfbluestar
      @sfbluestar 4 ปีที่แล้ว

      @@davecullins1606 Ahhh.... kind of like the Richter Scale concept...

  • @augustluna7219
    @augustluna7219 3 ปีที่แล้ว +6

    you've fixed my YEARS of misunderstanding in less than 5 minutes.

    • @mrnavi188
      @mrnavi188 3 ปีที่แล้ว

      Right Mr August Luna

  • @jjohnson9313
    @jjohnson9313 4 ปีที่แล้ว +1

    That sigh at the end. Classic. Good job man.

    • @jjohnson9313
      @jjohnson9313 4 ปีที่แล้ว

      I've always had a very painful mental block with logarithms. Right now I'm learning about the Binary Cross Entropy activation function for GANs (generative adversarial neural nets (used in Google Inception)). This was a simple review of natural log. Thanks.

    • @jjohnson9313
      @jjohnson9313 4 ปีที่แล้ว

      I think the kids probably don't understand that the less you're using math in your life, the worse and more mundane your job is going to be. At that age, they don't get it. If you're a dreamer, eventually you're going to go hard core math.

  • @arwakhalid2954
    @arwakhalid2954 6 ปีที่แล้ว +34

    You always make math easier for me 😍♥️

    • @voxx3
      @voxx3 4 ปีที่แล้ว

      صح 🌚

  • @isabellarosales4716
    @isabellarosales4716 5 ปีที่แล้ว +10

    Marissa pay attention sis

  • @davidnava6320
    @davidnava6320 2 ปีที่แล้ว +1

    I think is not so much that we need to learn it in school ( as we do) it’s all involve in the time that it requires to practice and understand the concepts, half of the answers in everything in math , it’s understanding what we are reading.
    However Videos it’s just a form of investing the time into what we need to learn . As if we were or had more time in class to practice.
    Tutoring it’s always available for free at school most of the time.
    Thank you for your opinion.

  • @dericknmillie
    @dericknmillie 6 หลายเดือนก่อน

    I wish I could take one of your classes online!

  • @sameersinha1521
    @sameersinha1521 4 ปีที่แล้ว

    it all means hardwork and patience, stretched over an year atleast, it is beautiful presentation.

  • @yusufdadkhah7561
    @yusufdadkhah7561 4 ปีที่แล้ว +1

    3:57(has all the answer to the Ln equations+we can see how why the Ln equations have the answers they have)

  • @ishikagupta6530
    @ishikagupta6530 3 ปีที่แล้ว

    love from india ......... very nicely explain

  • @drumeophile
    @drumeophile 5 ปีที่แล้ว +43

    Brian McLogan looks like Randy Orton. Not understanding him for whole video feels like RKO!

  • @AbbieSmith-y2y
    @AbbieSmith-y2y ปีที่แล้ว

    thank you this helped immensely

  • @muhammadkhitab7307
    @muhammadkhitab7307 2 ปีที่แล้ว +1

    MashahAllah thanks sir g.

  • @halimakarkat5132
    @halimakarkat5132 5 ปีที่แล้ว +2

    best prof ever!!! no capping

  • @runasingha5700
    @runasingha5700 10 หลายเดือนก่อน

    This video solved one of my biggest problem

  • @salmael-amin159
    @salmael-amin159 2 ปีที่แล้ว

    Thank you, It was very beneficial, I learnt alot!!

  • @enockmensah3631
    @enockmensah3631 3 ปีที่แล้ว +1

    You made it look simple and understandable
    Great !!

  • @vanvuur1611
    @vanvuur1611 6 ปีที่แล้ว +8

    THANK YOU SO MUCH, just saved my life

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +3

      happy to be able to help

  • @sphakamisozondi
    @sphakamisozondi ปีที่แล้ว +1

    Fun fact, natural logs were discovered before "e", some time later Euler determined that the base of the natural logs was "e"

  • @illmatic5856
    @illmatic5856 4 ปีที่แล้ว +4

    If i get accepted in CPP i'll donate 100$ to you and The Organic Chemistry Tutor, wish me luck

    • @yoshima7654
      @yoshima7654 4 ปีที่แล้ว

      Well, how did that go?

    • @illmatic5856
      @illmatic5856 4 ปีที่แล้ว +4

      @@yoshima7654 Haha thanks for reminding me!! I got in!! It is the most competitive scholarship program in my country and i got accepted with my first choice major, i’m very thankful for youtube it played a major role in helping me get accepted! ❤️😂

  • @davecullins1606
    @davecullins1606 4 ปีที่แล้ว

    I've been studying political science for almost 4.5 years now. I've always procrastinated on finding out what they were because they seemed so complex when just looking at them, but turns out they're easy AF!

    • @davecullins1606
      @davecullins1606 4 ปีที่แล้ว

      @Laura McDowell Would never have stayed for as long as I have if I didn't. The learning system at uni is really bogging every education down, so the love for your profession is what drives most people through it.

  • @rajpotaniya3008
    @rajpotaniya3008 2 ปีที่แล้ว

    great sir good and easy learning .i like it thanks sir

  • @AnnihilarrghBD
    @AnnihilarrghBD 2 ปีที่แล้ว

    Love you infinity from Bangladesh 🙂🇧🇩🔥

  • @priyaperforms
    @priyaperforms 2 ปีที่แล้ว

    This Video was Of Great Help!
    Thank You So Much:D

  • @kyleaurelio1454
    @kyleaurelio1454 5 ปีที่แล้ว +1

    you are an absolute saint

  • @protickkhandkar
    @protickkhandkar 2 ปีที่แล้ว

    I have been learning a new things.
    That's awesome 🤩

  • @ddt8276
    @ddt8276 2 ปีที่แล้ว +1

    I think its only Y = X but not necessarily also equal to lnX and lnY

    • @ankit259
      @ankit259 2 ปีที่แล้ว

      Right,
      I was searching for comments who noticed it.

  • @actuallyarnav
    @actuallyarnav 2 ปีที่แล้ว

    thanks for making this concept clear for me!

  • @VijaySharma-pe6rt
    @VijaySharma-pe6rt 2 ปีที่แล้ว

    Love from India 🇮🇳

  • @fefe1179
    @fefe1179 2 ปีที่แล้ว +1

    Shout out to teachers that teach from basics up and don’t expect you do know the blanks they decide to leave our based off assumption!

  • @aryagiram9868
    @aryagiram9868 2 ปีที่แล้ว

    thank you!

  • @YuvrajSingh-ls9dh
    @YuvrajSingh-ls9dh 3 ปีที่แล้ว

    Helped a lot

  • @maru3497
    @maru3497 3 ปีที่แล้ว +1

    Marissa gettin called out here kekw

  • @mromer8987
    @mromer8987 4 ปีที่แล้ว

    this man is the freaking goat

  • @iloveunicorns123
    @iloveunicorns123 3 ปีที่แล้ว

    Thank u so much u help me greatly 👍🏿

  • @terrydeclown4463
    @terrydeclown4463 5 ปีที่แล้ว +21

    This guy low key looking like Mac Lethal.(A You Tuber)

  • @aesir4134
    @aesir4134 2 ปีที่แล้ว

    My teacher went from limits to higher derivatives in just 2 weeks. I'm super stressed right now. Can someone send me virtual hugs please

  • @ky_mrn
    @ky_mrn 4 ปีที่แล้ว

    Thank you, sir

  • @eightyseveneightyfive6280
    @eightyseveneightyfive6280 6 ปีที่แล้ว +7

    thank you senpai

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +12

      you are very welcome!

  • @williejohnson5172
    @williejohnson5172 4 หลายเดือนก่อน

    The natural log 1, (an exponent of e), plus the natural log 2 (an exponent of e) equals the natural log sum of 3 (an exponent of e)
    How would one write the above summation in ln form?

  • @darkz_7838
    @darkz_7838 4 ปีที่แล้ว

    I love this man

  • @lamnothingwithoutgod6932
    @lamnothingwithoutgod6932 2 ปีที่แล้ว

    Thanks

  • @soorajgopansr4146
    @soorajgopansr4146 3 ปีที่แล้ว

    ln x = ln y
    Which gives
    X=Y
    But
    ln x = ln y=X=Y which is wrong dont equate two equations

  • @fofaa9314
    @fofaa9314 2 ปีที่แล้ว

    Very good

  • @dannggg
    @dannggg 2 ปีที่แล้ว

    i had to relearn some stuff and am about to graduate as a software engineering and forgot all this crap. Thank you for this. lol

  • @H1akuro
    @H1akuro 2 ปีที่แล้ว +1

    Wow i actually understand it easily it's not hard
    I actually saw someone talking about in() in yt andi didn't know what does that mean but it turn out to be simple
    I have question tho i have a calculator and i discovered that e is const number that is ≈2.72
    That's correct right?

  • @dhendebhagyshree1877
    @dhendebhagyshree1877 2 ปีที่แล้ว

    thanks sir

  • @akri_ti7473
    @akri_ti7473 3 ปีที่แล้ว

    Wow handwriting ❤️

  • @dylanboivin2645
    @dylanboivin2645 4 ปีที่แล้ว +2

    I wonder how Marissa's handling life, not paying attention in class

  • @angelemile2021
    @angelemile2021 6 ปีที่แล้ว +3

    Thank you ❤️

  • @harshuzumaki7896
    @harshuzumaki7896 5 ปีที่แล้ว

    Thank you sir

  • @leecha3444
    @leecha3444 3 ปีที่แล้ว

    I've been wondering how does ln work for the longest time. Thanks!

  • @usctrojanfreak
    @usctrojanfreak 3 ปีที่แล้ว +1

    Thank you for your service Brian! BTW no offense but dude you kinda look like Billy Corgan lol

  • @TF2NeoLS
    @TF2NeoLS 5 ปีที่แล้ว +35

    Everybody in my calculus class pronounces 'ln' as "lun"

    • @ralfattie
      @ralfattie 4 ปีที่แล้ว +2

      We say it as “lin”

    • @davecullins1606
      @davecullins1606 4 ปีที่แล้ว +2

      We say "el-en"

    • @solisesttela
      @solisesttela 3 ปีที่แล้ว +1

      We say lon😂😂😂

  • @Dereck27
    @Dereck27 2 ปีที่แล้ว

    I’ve studied this for years and I still don’t understand a word he’s saying. Kinda hard to remember things when they don’t apply to your life literally at all

  • @hibaalsiyabi7098
    @hibaalsiyabi7098 3 ปีที่แล้ว +1

    Hi Marisa 😃

  • @lukengai4956
    @lukengai4956 4 ปีที่แล้ว +3

    these students are so lucky ;-;

  • @mrvshorts5637
    @mrvshorts5637 2 ปีที่แล้ว

    Nice!!!

  • @articcircleado
    @articcircleado 5 ปีที่แล้ว

    Thank you !

  • @uhesmart9126
    @uhesmart9126 4 ปีที่แล้ว

    Its very nice am so happy just continue wow i said wow wow wow

  • @tomoyaokazaki6021
    @tomoyaokazaki6021 3 ปีที่แล้ว +1

    This is on a test and my teacher straight up did not teach us

  • @larisleben
    @larisleben 6 ปีที่แล้ว +1

    Awesome!!

  • @Anilkumar-bg9em
    @Anilkumar-bg9em 5 ปีที่แล้ว

    Suupeerrbb sir..😍😍