What are natural logarithms and their properties

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  • Опубліковано 17 вер 2013
  • 👉 Learn all about the properties of logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a negative number is not defined. (i.e. it is not possible to find the logarithm of a negative number). There are some properties of logarithm which are helpful in simplifying and evaluating logarithm problems. Knowledge of these properties is a valuable tool in solving logarithm problems.
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    Organized Videos:
    ✅Evaluate Logarithms
    • Evaluate Logarithms
    ✅Change of Base Formula
    • Change of Base Formula
    ✅Rules of Logarithms
    • Rules of Logarithms
    ✅Logarithms | Learn About
    • Logarithms | Learn About
    ✅How to Evaluate Logarithms with Radicals
    • How to Evaluate Logari...
    ✅How to Evaluate Logarithms with Fractions
    • How to Evaluate Logari...
    ✅How to Evaluate Logarithms
    • How to Evaluate Logari...
    ✅How to Evaluate Natural Logarithms
    • How to Evaluate Natura...
    ✅How to Evaluate Logarithmic Expressions
    • How to Evaluate Logari...
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    #logarithmicfunctions #brianmclogan

КОМЕНТАРІ • 313

  • @brianmclogan
    @brianmclogan  11 місяців тому +10

    Simplify the logarithms with different bases - ua-cam.com/video/il97omC0azs/v-deo.html

  • @CocaBrunel
    @CocaBrunel 3 роки тому +598

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

    • @tomaschazarreta1263
      @tomaschazarreta1263 2 роки тому +24

      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 2 роки тому +8

      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 2 роки тому +10

      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 роки тому +3

      @@lynxrbeam8732 that or what you understand deeply.

    • @celinemhoumany
      @celinemhoumany 2 роки тому

      Agreed

  • @viv__s
    @viv__s 5 років тому +383

    God damn Marissa

  • @raycravetz846
    @raycravetz846 4 роки тому +472

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

    • @Cord741
      @Cord741 3 роки тому +22

      she was a problem fr

    • @wesleydonovan4262
      @wesleydonovan4262 3 роки тому +13

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

    • @someonesomeone3126
      @someonesomeone3126 3 роки тому +7

      @@wesleydonovan4262 LOL yup to this day

  • @marianandnorbert
    @marianandnorbert 3 роки тому +1243

    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___ 3 роки тому +44

      Not really.

    • @drew7311
      @drew7311 3 роки тому +84

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

    • @marianandnorbert
      @marianandnorbert 3 роки тому +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 3 роки тому +8

      Yeah, it would be nice if they were at least as good as UA-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 3 роки тому +14

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

  • @nabeelaissa5763
    @nabeelaissa5763 4 роки тому +61

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

  • @chettdaniels577
    @chettdaniels577 4 роки тому +118

    This dude right here saves my butt every time lol

  • @Poppinwheeeeellllllieeeeez
    @Poppinwheeeeellllllieeeeez Рік тому +5

    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.

  • @Andyt0531
    @Andyt0531 5 років тому +192

    Yeah! Marissa!

  • @hans3331000
    @hans3331000 4 роки тому +72

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

    • @ThefamousMrcroissant
      @ThefamousMrcroissant 3 роки тому +7

      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 2 роки тому

      @@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 2 роки тому +6

      To calculate compound interest

  • @RajSingh-qf2yz
    @RajSingh-qf2yz 6 років тому +74

    Amazing. Thanks for the clear and easy explanation!

  • @sharirhariparsad5777
    @sharirhariparsad5777 Рік тому +14

    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  Рік тому +7

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

    • @ItzThermal
      @ItzThermal Рік тому +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 10 місяців тому

      ​@@brianmcloganPowers of two…A viable shortcut…

  • @graciesargood6368
    @graciesargood6368 3 роки тому +285

    Anyone here learning this for high-school 😂

    • @owenmorris404
      @owenmorris404 3 роки тому +10

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

    • @liamels6282
      @liamels6282 3 роки тому +39

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

    • @tsukinemu1497
      @tsukinemu1497 3 роки тому +9

      @@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 3 роки тому

      Meeee

    • @phabidz
      @phabidz 3 роки тому

      I'm relearning it

  • @tytolman2718
    @tytolman2718 3 роки тому +48

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

    • @user-sj9hn4fj8e
      @user-sj9hn4fj8e Рік тому +2

      woman

    • @maskedmarvyl4774
      @maskedmarvyl4774 11 місяців тому +1

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

  • @drumpfbad5258
    @drumpfbad5258 4 роки тому +34

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

  • @NotMe-nh8kg
    @NotMe-nh8kg 3 роки тому +24

    Systems engineering major, you help so much.

    • @Voltaic314
      @Voltaic314 2 роки тому

      Yep, electrical engineering student here. 🙂

  • @dominikbaricak9589
    @dominikbaricak9589 10 місяців тому +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.

  • @Yoyoyo812
    @Yoyoyo812 4 роки тому +4

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

  • @meeeerv_8113
    @meeeerv_8113 4 роки тому +9

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

  • @firefoxuser2557
    @firefoxuser2557 4 роки тому +7

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

  • @thebigbananabigverybig921
    @thebigbananabigverybig921 3 роки тому +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!

  • @a.human.
    @a.human. 3 роки тому +1

    Computing and IT major, you just saved my life man

  • @Sultan_A
    @Sultan_A 4 місяці тому +1

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

  • @halimakarkat5132
    @halimakarkat5132 4 роки тому +2

    best prof ever!!! no capping

  • @roohijaiswal1403
    @roohijaiswal1403 3 роки тому +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.

  • @Extremo192
    @Extremo192 9 місяців тому +1

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

  • @enockmensah3631
    @enockmensah3631 3 роки тому +1

    You made it look simple and understandable
    Great !!

  • @augustluna7219
    @augustluna7219 3 роки тому +6

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

    • @mrnavi188
      @mrnavi188 3 роки тому

      Right Mr August Luna

  • @actuallyarnav
    @actuallyarnav 2 роки тому

    thanks for making this concept clear for me!

  • @eeggrksttmm1565
    @eeggrksttmm1565 4 роки тому +12

    You are a great teacher. Thank you, Brian.

  • @priyasharma__
    @priyasharma__ 2 роки тому

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

  • @gib6427
    @gib6427 3 роки тому

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

  • @sameersinha1521
    @sameersinha1521 4 роки тому

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

  • @salmael-amin159
    @salmael-amin159 Рік тому

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

  • @RageMagikarp
    @RageMagikarp 2 роки тому +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  2 роки тому +2

      You are
      Very welcome!!

    • @ApexSpykey
      @ApexSpykey Рік тому

      @@brianmclogan Yh I think you are a great teacher

  • @articcircleado
    @articcircleado 5 років тому

    Thank you !

  • @protickkhandkar
    @protickkhandkar 2 роки тому

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

  • @ANTI-CANTTV
    @ANTI-CANTTV 9 місяців тому

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

  • @kyleaurelio1454
    @kyleaurelio1454 5 років тому +1

    you are an absolute saint

  • @larisleben
    @larisleben 5 років тому +1

    Awesome!!

  • @jjohnson9313
    @jjohnson9313 3 роки тому +1

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

    • @jjohnson9313
      @jjohnson9313 3 роки тому

      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 3 роки тому

      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.

  • @s.h.1991
    @s.h.1991 3 роки тому

    You’re the best teacher ever

  • @arwakhalid2954
    @arwakhalid2954 5 років тому +34

    You always make math easier for me 😍♥️

    • @voxx3
      @voxx3 4 роки тому

      صح 🌚

  • @elle_delli834
    @elle_delli834 2 роки тому

    this man is a lifesaver

  • @robertoa.tarazona2708
    @robertoa.tarazona2708 4 роки тому

    Thank you sir!

  • @LiaMathur
    @LiaMathur 6 місяців тому

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

  • @Anilkumar-bg9em
    @Anilkumar-bg9em 4 роки тому

    Suupeerrbb sir..😍😍

  • @vanvuur1611
    @vanvuur1611 6 років тому +8

    THANK YOU SO MUCH, just saved my life

  • @user-sj9hn4fj8e
    @user-sj9hn4fj8e Рік тому

    thank you this helped immensely

  • @iloveunicorns123
    @iloveunicorns123 3 роки тому

    Thank u so much u help me greatly 👍🏿

  • @brianmclogan
    @brianmclogan  Рік тому +2

    Understand logarithms with a fraction - ua-cam.com/video/msvn-pJ9Bs0/v-deo.html

  • @kristena343walls
    @kristena343walls 2 місяці тому +1

    Nice sir . thank u so much.

  • @89Degree
    @89Degree 4 роки тому

    Thanks a lot :)

  • @BlackMoonFox
    @BlackMoonFox 2 місяці тому

    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

  • @sakshu_24
    @sakshu_24 Рік тому

    Thank You Sir
    Love From India❤️

  • @isabellarosales4716
    @isabellarosales4716 4 роки тому +10

    Marissa pay attention sis

  • @YuvrajSingh-ls9dh
    @YuvrajSingh-ls9dh 3 роки тому

    Helped a lot

  • @harshuzumaki7896
    @harshuzumaki7896 4 роки тому

    Thank you sir

  • @dericknmillie
    @dericknmillie 2 місяці тому

    I wish I could take one of your classes online!

  • @aryagiram9868
    @aryagiram9868 2 роки тому

    thank you!

  • @darkz_7838
    @darkz_7838 3 роки тому

    I love this man

  • @ky_mrn
    @ky_mrn 3 роки тому

    Thank you, sir

  • @eightyseveneightyfive6280
    @eightyseveneightyfive6280 6 років тому +7

    thank you senpai

  • @mrblue2052
    @mrblue2052 8 місяців тому

    Automation engineering major here, Thank you so much.

  • @yusufdadkhah7561
    @yusufdadkhah7561 3 роки тому +1

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

  • @sfbluestar
    @sfbluestar 5 років тому +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 3 роки тому +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 3 роки тому

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

  • @drumeophile
    @drumeophile 5 років тому +43

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

  • @rajpotaniya3008
    @rajpotaniya3008 2 роки тому

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

  • @leecha3444
    @leecha3444 3 роки тому

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

  • @funsize3196
    @funsize3196 5 років тому +1

    Thank you 😭😭😭😭

  • @angelemile2021
    @angelemile2021 5 років тому +3

    Thank you ❤️

  • @mromer8987
    @mromer8987 3 роки тому

    this man is the freaking goat

  • @maru3497
    @maru3497 3 роки тому +1

    Marissa gettin called out here kekw

  • @sphakamisozondi
    @sphakamisozondi Рік тому +1

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

  • @ishikagupta6530
    @ishikagupta6530 2 роки тому

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

  • @gulamabbas4775
    @gulamabbas4775 4 роки тому

    Thanks a lot please uploaded lecture on msc math

  • @jonaptschage2843
    @jonaptschage2843 Рік тому

    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)

  • @uhesmart9126
    @uhesmart9126 4 роки тому

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

  • @muhammadkhitab7307
    @muhammadkhitab7307 2 роки тому +1

    MashahAllah thanks sir g.

  • @ddt8276
    @ddt8276 2 роки тому +1

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

    • @ankit259
      @ankit259 2 роки тому

      Right,
      I was searching for comments who noticed it.

  • @davidnava6320
    @davidnava6320 2 роки тому +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.

  • @davecullins1606
    @davecullins1606 3 роки тому

    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 3 роки тому

      @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.

  • @dhendebhagyshree1877
    @dhendebhagyshree1877 2 роки тому

    thanks sir

  • @mrvshorts5637
    @mrvshorts5637 2 роки тому

    Nice!!!

  • @𝔸𝕟𝕟𝕚𝕙𝕚𝕝𝕒𝕣𝕣𝕘𝕙𝔹𝔻

    Love you infinity from Bangladesh 🙂🇧🇩🔥

  • @fofaa9314
    @fofaa9314 2 роки тому

    Very good

  • @usctrojanfreak
    @usctrojanfreak 3 роки тому +1

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

  • @runasingha5700
    @runasingha5700 6 місяців тому

    This video solved one of my biggest problem

  • @saff1257
    @saff1257 3 роки тому

    know it sounds silly but i never got this- THANK YOU

  • @lamnothingwithoutgod6932
    @lamnothingwithoutgod6932 Рік тому

    Thanks

  • @illmatic5856
    @illmatic5856 4 роки тому +4

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

    • @yoshima7654
      @yoshima7654 3 роки тому

      Well, how did that go?

    • @illmatic5856
      @illmatic5856 3 роки тому +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! ❤️😂

  • @dylanboivin2645
    @dylanboivin2645 3 роки тому +2

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

  • @VijaySharma-pe6rt
    @VijaySharma-pe6rt Рік тому

    Love from India 🇮🇳

  • @subratdubey2038
    @subratdubey2038 4 роки тому

    Good work sir .u have remove my dought.

  • @lukengai4956
    @lukengai4956 4 роки тому +3

    these students are so lucky ;-;

  • @H1akuro
    @H1akuro Рік тому +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?

  • @williejohnson5172
    @williejohnson5172 15 днів тому

    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?

  • @Matt-sc6gg
    @Matt-sc6gg 3 роки тому +4

    Thanks, Mr McLogan! You made me understand this like it was a piece of cake. Perfect!
    PS: I am actually in 9th grade, no kidding, NGL!

  • @TheSafeSword
    @TheSafeSword 3 роки тому

    Im learning this in preparation of sixth form and im super confused... all i know is tat u can use In() to find the power of x from "mind your decisions" yt channel; his questions

  • @fefe1179
    @fefe1179 Рік тому +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!