What are natural logarithms and their properties

👉 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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👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: www.freemathvideos.com/about-me/
#logarithmicfunctions #brianmclogan

[@brianmclogan]

Simplify the logarithms with different bases - kzbin.info/www/bejne/n52caKKjeJWUsNU

[@CocaBrunel]

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

[@tomaschazarreta1263]

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]

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]

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]

@@lynxrbeam8732 that or what you understand deeply.

[@celinemhoumany]

Agreed

[@raycravetz846]

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

[@Cord741]

she was a problem fr

[@wesleydonovan4262]

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

[@someonesomeone3126]

@@wesleydonovan4262 LOL yup to this day

[@viv__s]

God damn Marissa

[@DivineSeaDragon]

viveck sachdev stupid Marissa

[@marianandnorbert]

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___]

Not really.

[@drew7311]

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

[@marianandnorbert]

@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]

Yeah, it would be nice if they were at least as good as KZbinrs 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]

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

[@nabeelaissa5763]

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

[@chettdaniels577]

This dude right here saves my butt every time lol

[@graciesargood6368]

Anyone here learning this for high-school 😂

[@owenmorris404]

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

[@liamels6282]

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

[@tsukinemu1497]

@@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]

Meeee

[@phabidz]

I'm relearning it

[@hans3331000]

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

[@ThefamousMrcroissant]

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]

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

[@PrincessCupncake]

To calculate compound interest

[@PoppinWheeliez]

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.

[@RajSingh-qf2yz]

Amazing. Thanks for the clear and easy explanation!

[@brianmclogan]

you are very welcome!

[@Andyt0531]

Yeah! Marissa!

[@lokendrakushwah7775]

Hi

[@mathlegendno12]

Hello

[@tytolman2718]

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

[@user-sj9hn4fj8e]

woman

[@maskedmarvyl4774]

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

[@drumpfbad5258]

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

[@sharirhariparsad5777]

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]

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

[@ItzThermal]

@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]

​@@brianmcloganPowers of two…A viable shortcut…

[@Sultan_A]

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

[@brianmclogan]

Understand logarithms with a fraction - kzbin.info/www/bejne/o6TZn2Cmf551qZI

[@NotMe-nh8kg]

Systems engineering major, you help so much.

[@Voltaic314]

Yep, electrical engineering student here. 🙂

[@Yoyoyo812]

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

[@meeeerv_8113]

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

[@dominikbaricak9589]

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.

[@firefoxuser2557]

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

[@Extremo192]

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

[@eeggrksttmm1565]

You are a great teacher. Thank you, Brian.

[@a.human.]

Computing and IT major, you just saved my life man

[@augustluna7219]

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

[@mrnavi188]

Right Mr August Luna

[@enockmensah3631]

You made it look simple and understandable Great !!

[@thebigbananabigverybig921]

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

[@actuallyarnav]

thanks for making this concept clear for me!

[@RageMagikarp]

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]

You are Very welcome!!

[@ApexSpykey]

@@brianmclogan Yh I think you are a great teacher

[@ANTI-CANTTV]

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

[@salmael-amin159]

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

[@arwakhalid2954]

You always make math easier for me 😍♥️

[@voxx3]

صح 🌚

[@gib6427]

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

[@mrblue2052]

Automation engineering major here, Thank you so much.

[@halimakarkat5132]

best prof ever!!! no capping

[@sameersinha1521]

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

[@priyasharma__]

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

[@roohijaiswal1403]

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.

[@dericknmillie]

I wish I could take one of your classes online!

[@s.h.1991]

You’re the best teacher ever

[@elle_delli834]

this man is a lifesaver

[@user-sj9hn4fj8e]

thank you this helped immensely

[@articcircleado]

Thank you !

[@protickkhandkar]

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

[@sfbluestar]

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]

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]

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

[@drumeophile]

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

[@obadiahsombe6884]

Exactly

[@iloveunicorns123]

Thank u so much u help me greatly 👍🏿

[@LiaMathur]

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

[@sakshu_24]

Thank You Sir Love From India❤️

[@kristena343walls]

Nice sir . thank u so much.

[@vanvuur1611]

THANK YOU SO MUCH, just saved my life

[@brianmclogan]

happy to be able to help

[@leecha3444]

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

[@robertoa.tarazona2708]

Thank you sir!

[@kyleaurelio1454]

you are an absolute saint

[@jjohnson9313]

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

[@jjohnson9313]

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]

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.

[@BlackMoonFox]

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

[@yusufdadkhah7561]

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

[@aryagiram9868]

thank you!

[@ddt8276]

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

[@ankit259]

Right, I was searching for comments who noticed it.

[@sphakamisozondi]

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

[@harshuzumaki7896]

Thank you sir

[@runasingha5700]

This video solved one of my biggest problem

[@brianmclogan]

awesome!

[@jonaptschage2843]

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)

[@rajpotaniya3008]

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

[@YuvrajSingh-ls9dh]

Helped a lot

[@larisleben]

Awesome!!

[@gulamabbas4775]

Thanks a lot please uploaded lecture on msc math

[@ky_mrn]

Thank you, sir

[@davecullins1606]

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]

@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.

[@89Degree]

Thanks a lot :)

[@davidnava6320]

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.

[@TheSafeSword]

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

[@funsize3196]

Thank you 😭😭😭😭

[@Anilkumar-bg9em]

Suupeerrbb sir..😍😍

[@saff1257]

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

[@illmatic5856]

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

[@yoshima7654]

Well, how did that go?

[@illmatic5856]

@@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! ❤️😂

[@ishikagupta6530]

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

[@elizabeth-ty3he]

What does base e represent?

[@lamnothingwithoutgod6932]

Thanks

[@angelemile2021]

Thank you ❤️

[@brianmclogan]

you are very welcome!

[@eightyseveneightyfive6280]

thank you senpai

[@brianmclogan]

you are very welcome!

[@muhammadkhitab7307]

MashahAllah thanks sir g.

[@hsc24student]

Love you infinity from Bangladesh 🙂🇧🇩🔥

[@mromer8987]

this man is the freaking goat

[@isabellarosales4716]

Marissa pay attention sis

[@dhendebhagyshree1877]

thanks sir

[@dylanboivin2645]

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

[@darkz_7838]

I love this man

[@uhesmart9126]

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

[@terrydeclown4463]

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

[@TF2NeoLS]

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

[@ralfattie3370]

We say it as “lin”

[@davecullins1606]

We say "el-en"

[@solisesttela]

We say lon😂😂😂

[@TopKingNZ]

You haven't talked about what Euler's number is, or why you'd use a natural log?

[@fefe1179]

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!

[@brianmclogan]

So true

[@H1akuro]

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?

[@lukengai4956]

these students are so lucky ;-;

[@Putturumese]

Sir, The last line you wrote in the board is wrong. Isn't it? ln(x) = ln(y) = x = y If ln(x) = ln(y), then x=y is understandable. Could you please correct me if I am wrong?

[@usctrojanfreak]

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

[@fofaa9314]

Very good

[@noname-wu9xr]

What is a slide rule