What are natural logarithms and their properties

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👉 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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5 окт 2024

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Комментарии : 318

@brianmclogan Год назад

Simplify the logarithms with different bases - ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-il97omC0azs.html

@CocaBrunel 3 года назад

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

@tomaschazarreta1263 3 года назад

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 3 года назад

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 2 года назад

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 2 года назад

@@lynxrbeam8732 that or what you understand deeply.

@celinemhoumany 2 года назад

Agreed

@viv__s 5 лет назад

God damn Marissa

@DivineSeaDragon 5 лет назад

viveck sachdev stupid Marissa

@raycravetz846 4 года назад

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

@Cord741 4 года назад

she was a problem fr

@wesleydonovan4262 3 года назад

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

@someonesomeone3126 3 года назад

@@wesleydonovan4262 LOL yup to this day

@marianandnorbert 4 года назад

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___ 3 года назад

Not really.

@drew7311 3 года назад

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

@marianandnorbert 3 года назад

@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 3 года назад

Yeah, it would be nice if they were at least as good as RU-vidrs 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 3 года назад

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

@nabeelaissa5763 4 года назад

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

@chettdaniels577 4 года назад

This dude right here saves my butt every time lol

@RajSingh-qf2yz 6 лет назад

Amazing. Thanks for the clear and easy explanation!

@brianmclogan 6 лет назад

you are very welcome!

@graciesargood6368 4 года назад

Anyone here learning this for high-school 😂

@owenmorris404 4 года назад

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

@liamels6282 4 года назад

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

@tsukinemu1497 4 года назад

@@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 3 года назад

Meeee

@phabidz 3 года назад

I'm relearning it

@tytolman2718 4 года назад

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

@AbbieSmith-y2y Год назад

woman

@maskedmarvyl4774 Год назад

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

@Poppinwheeeeellllllieeeeez Год назад

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.

@hans3331000 4 года назад

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

@ThefamousMrcroissant 3 года назад

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 3 года назад

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

@PrincessCupncake 2 года назад

To calculate compound interest

@sharirhariparsad5777 Год назад

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 Год назад

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

@ItzThermal Год назад

@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 Год назад

@@brianmcloganPowers of two…A viable shortcut…

@Andyt0531 5 лет назад

Yeah! Marissa!

@lokendrakushwah7775 4 года назад

@mathlegendno12 4 года назад

Hello

@drumpfbad5258 4 года назад

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

@Yoyoyo812 4 года назад

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

@NotMe-nh8kg 4 года назад

Systems engineering major, you help so much.

@Voltaic314 2 года назад

Yep, electrical engineering student here. 🙂

@dominikbaricak9589 Год назад

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.

@eeggrksttmm1565 4 года назад

You are a great teacher. Thank you, Brian.

@Sultan_A 6 месяцев назад

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

@firefoxuser2557 4 года назад

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

@meeeerv_8113 4 года назад

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

@augustluna7219 3 года назад

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

@mrnavi188 3 года назад

Right Mr August Luna

@RageMagikarp 2 года назад

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 2 года назад

You are Very welcome!!

@ApexSpykey Год назад

@@brianmclogan Yh I think you are a great teacher

@Extremo192 11 месяцев назад

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

@roohijaiswal1403 4 года назад

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.

@The1TrueFoxMcCloud 5 месяцев назад

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

@a.human. 3 года назад

Computing and IT major, you just saved my life man

@sfbluestar 5 лет назад

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 3 года назад

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 3 года назад

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

@ANTI-CANTTV Год назад

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

@isabellarosales4716 5 лет назад

Marissa pay attention sis

@thebigbananabigverybig921 3 года назад

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

@arwakhalid2954 5 лет назад

You always make math easier for me 😍♥️

@voxx3 4 года назад

صح 🌚

@jjohnson9313 4 года назад

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

@jjohnson9313 4 года назад

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 4 года назад

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.

@gib6427 3 года назад

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

@drumeophile 5 лет назад

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

@obadiahsombe6884 3 года назад

Exactly

@enockmensah3631 3 года назад

You made it look simple and understandable Great !!

@s.h.1991 3 года назад

You’re the best teacher ever

@davidnava6320 2 года назад

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 4 месяца назад

I wish I could take one of your classes online!

@yusufdadkhah7561 4 года назад

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

@ddt8276 2 года назад

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

@ankit259 2 года назад

Right, I was searching for comments who noticed it.

@jonaptschage2843 Год назад

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)

@LiaMathur 9 месяцев назад

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

@elle_delli834 2 года назад

this man is a lifesaver

@mrblue2052 11 месяцев назад

Automation engineering major here, Thank you so much.

@williejohnson5172 2 месяца назад

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?

@halimakarkat5132 5 лет назад

best prof ever!!! no capping

@kristena343walls 4 месяца назад

Nice sir . thank u so much.

@salmael-amin159 2 года назад

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

@williejohnson5172 2 месяца назад

Please clarification ln(1)=0 ln 1= 1= the exponent of e Are these correct?

@sameersinha1521 4 года назад

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

@sakshu_24 2 года назад

Thank You Sir Love From India❤️

@kyleaurelio1454 5 лет назад

you are an absolute saint

@vanvuur1611 6 лет назад

THANK YOU SO MUCH, just saved my life

@brianmclogan 6 лет назад

happy to be able to help

@sphakamisozondi Год назад

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

@actuallyarnav 2 года назад

thanks for making this concept clear for me!

@priyaperforms 2 года назад

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

@illmatic5856 4 года назад

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

@yoshima7654 3 года назад

Well, how did that go?

@illmatic5856 3 года назад

@@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! ❤️😂

@AbbieSmith-y2y Год назад

thank you this helped immensely

@eightyseveneightyfive6280 6 лет назад

thank you senpai

@brianmclogan 6 лет назад

you are very welcome!

@H1akuro Год назад

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?

@runasingha5700 8 месяцев назад

This video solved one of my biggest problem

@brianmclogan 8 месяцев назад

awesome!

@protickkhandkar 2 года назад

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

@ishikagupta6530 3 года назад

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

@davecullins1606 3 года назад

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 3 года назад

@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.

@leecha3444 3 года назад

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

@rajpotaniya3008 2 года назад

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

@maru3497 3 года назад

Marissa gettin called out here kekw

@muhammadkhitab7307 2 года назад

MashahAllah thanks sir g.

@Putturumese 10 месяцев назад

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?

@fefe1179 2 года назад

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 2 года назад

So true

@TopKingNZ 2 года назад

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

@iloveunicorns123 3 года назад

Thank u so much u help me greatly 👍🏿

@dylanboivin2645 4 года назад

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

@aryagiram9868 2 года назад

thank you!

@mromer8987 3 года назад

this man is the freaking goat

@TF2NeoLS 5 лет назад

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

@ralfattie 4 года назад

We say it as “lin”

@davecullins1606 3 года назад

We say "el-en"

@solisesttela 3 года назад

We say lon😂😂😂

@terrydeclown4463 5 лет назад

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

@usctrojanfreak 3 года назад

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

@VijaySharma-pe6rt 2 года назад

Love from India 🇮🇳

@YuvrajSingh-ls9dh 3 года назад

Helped a lot

@AnnihilarrghBD 2 года назад

Love you infinity from Bangladesh 🙂🇧🇩🔥

@robertoa.tarazona2708 4 года назад

Thank you sir!

@lamnothingwithoutgod6932 Год назад

Thanks

@lukengai4956 4 года назад

these students are so lucky ;-;

@TheRojo387 Год назад

Are natural logarithms the quickest calculated by computers? If so, why use common logarithms for optical densities, when natural logarithms would beget the same results for less time and less resources?

@dannggg 2 года назад

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

@brianmclogan 2 года назад

You are very welcome!!

@ky_mrn 4 года назад

Thank you, sir

@angelemile2021 6 лет назад

Thank you ❤️

@brianmclogan 6 лет назад

you are very welcome!

@dhendebhagyshree1877 2 года назад

thanks sir

@fall5923 2 года назад

Now I understand that my University skips a LOT and assumes that I already know it.

@fofaa9314 2 года назад

Very good

@aesir4134 2 года назад

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

@TheSafeSword 3 года назад

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

@oc2667 Год назад

Marisa i hope you still know what ln of 1 is after 9 years.

@darkz_7838 4 года назад

I love this man

@Dereck27 2 года назад

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