Logarithms - e - Euler's Number

This math video tutorial provides a basic introduction into the number e, it's relation to logarithms, and how e - also known as Euler's number - is calculated.
Logarithms - Free Formula Sheet: bit.ly/4fEwqv0
Final Exams and Video Playlists:
www.video-tuto...
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Logarithms - The Easy Way!
• Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
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Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
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Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
/ collections

[@TheOrganicChemistryTutor]

Logarithms - Free Formula Sheet: bit.ly/4fEwqv0 Final Exams and Video Playlists: www.video-tutor.net/ Next Video: kzbin.info/www/bejne/m2bRqH2BishmmKM

[@juaquiqui-kun4333]

early

[@josephrichards7624]

How does this guy know so much lol, so many topics I look up and he has a video on it explaining it easily. I have to say, you are doing a fantastic job and are clearly a very smart guy. Props!

[@pingpong3311]

You are the reason why I am doing amazing in grade 12 math.

[@cluskyhardway4792]

Sir, I owe you a lot.. Imagine an anglophone schooling in a francophone country... If not for your lessons life wouldn't be easy at all

[@adamacamara9308]

Same for me, i learn my maths in an anglophone country and I see myself in a francophone country same maths different steps or methods

[@KulkarniPrashant]

Thanks!

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank for a basic introduction to Euler number e and its overall application to growth/rate in real life. The number e is well known in pure and applied mathematics.

[@laurenorourke2442]

I'm learning about logarithms in algebra 2 right now and this is really helpful and helps me get a really good insight on what e means. Thank you so much!

[@popeye003]

Where does "e" come from: It from a space right between "D" and "F" remember... Now that I solved that mystery, I still need to find my remote.

[@laurenorourke2442]

LMAOOO THIS COMMENT MADE MY DAY

[@georgettebeulah4427]

This is so true I can understand a lot from it, rates and euler formula make so much sense and meaning, I get it thank a lot. Love you much.

[@Innotutorial]

He inspired me to create quality tutorials

[@grantgino1139]

what software do you use

[@Innotutorial]

@@grantgino1139 I use explee, video scribe and Microsoft note.

[@hiel2549]

At 1:21, where does the term “1” come from? As in “A = P (1…”. What does the 1 represent in reality? Why is it there?

[@user-td3uj8is5i]

1:32 t is the number of ears

[@vikramnagarjuna3549]

Hi sir, This is vikram from India, I need this type of Mathematical tricks. Do video on zero factorial by using advanced Mathematical methods.

[@samiulislamdurjoy]

G 194 note: 9:54 the slope and area of e^x is same as y

[@IamKudos]

This guy is a master

[@randomvidson]

Still searching for videos on vectors and mechanics and dynamics as well

[@SiEmG]

can someone explain to me: 1. In all videos related to Euler's number, they all start with this example of 100% growth/rate over some time (e.g. 1 year) and then split the rate/growth to 50% and 50%. What is the logic of this? When you say 100% interest to your x amount in 1 year, you do not mean x+ (50%*x) + ( x+ (50%*x)) *50%. This is not a 100% rate anymore but a more complicated higher rate. wtf? For me, it is not something I can relate to something I know. How should I think of it? 2. Also how this can be used on a simple example e.g. with some initial population of microbes and an arbitrary infinitely constant growth rate (e.g. 250% or 50%), an arbitrary initial and final population (e.g. 101 -> 10101 units), and an arbitrary time period (e.g. 4000 days)?

[@SiEmG]

I think I managed to explain the 1st one to myself. In case anyone had similar wonder:s 1. there is no particular logic in this. This is just what is the procedure, and the bank thing is just an easy but not so successful (for me at least) way to explain it. There is nothing from everyday life that I can think of that you can relate to it. It is just the way that a population or a property/dimension/volume increases or decreases a. continuously (not district) b. with itself as a factor c. for a specific timeframe d. with a specific rate

[@derlyswanson8414]

More basic Algebra please :) y=mx+b

[@niceguy4801]

But how exactly did we get the value of e If all the proofs that is shown in the vid is said to be closer and closer to e? How did we get the exact value of e at the first place?

[@andreea9348]

we don't know the exact value of e, just as we don't know the exact value of π . Some guy in history thought it would be cool to divide the circumference of a circle by its diameter. Turns out, it's not an exact nr, and the bigger the circle is, the more digits of π he discovered. Another guy in history did the same thing, but instead of the whole circle situation he spent his time with the finance problem. He used bigger and bigger numbers and found that the sequence is approaching a limit. This limit is e. We did not "get the exact value of e" that the sequence is approaching, we just discover more and more digits of it by using bigger nrs in our calculus

[@brendhalarys4597]

But how does the first explanation for e work with numbers bigger than 1?

[@jogeshjoshi2535]

Very nice n Remarkable VDO THANKS

[@FizzyToni]

When u say 100% interest twice a year or four times a year u mean 50% interest twice a year, 25% interest four times a year, right? Since if you got 100% interest twice a year starting with 1$, you would have 4$ after the first year

[@pedrovictor8666]

Yes

[@zackfoster8946]

😵

[@ahmedsinger9435]

Ty man, u've saved me as always

[@boqorkhan7207]

Sir I want to talk about next indices.

[@mohammedalahmed3133]

So ... 1to the power of infinty 》e

[@theophonchana5025]

#logarithm #log #e #euler #eulernumber

[@highseassailor]

Thank you!

[@aleksszukovskis2074]

Whats E?

[@nerdfighter2004]

A letter in the alphabet

[@timtran7756]

Thanks

[@mehdizangiabadi-iw6tn]

e=(-e, y)this appoint is not a curve !!?

[@jasminepreen4125]

Math?! MATH?! *Maths. There! You have been corrected. 🙂

[@theophonchana5025]

#ln #naturallogarithm

[@mehdizangiabadi-iw6tn]

e =(1000000/999999)^999999=e number but sorry for the is results nothing changed e isn't equal zero

[@digitalwizgraffixinc]

Can anyone solve these Do these for me?

[@billymtambe5404]

Nice

[@sayan4463]

Wow 😯😯😯😯😯😯😯

[@PoloML]

noice

[@nerdfighter2004]

kzbin.info/www/bejne/i3O7aYCNjsqfadU

[@nonnibaxtyar94]

hes so sexy

[@mehdizangiabadi-iw6tn]

10000000000^999999999) /999999999=ebut