#some3
This is a math video that tries to show a visual way to think about logarithms. Those functions we all know and love ;) from highschool and math classes.

The focus in this video was to loosly "proove", without any equations, the propriety that this function have, which is (ln(ab) = ln(a) + ln(b) )).

The proof is seperated into four results, each one of them is prooven using the previous ones.

Chapters :
0:00 Introduction
3:14 Result 1
5:43 Result 2
8:08 Result 3
8:54 Result 4
9:53 Actual proof
11:51 Extra
12:24 Ending

Disclaimer: This is NOT a formal proof of the propriety!!! If you want formal proof, you can look at it in any math textbook.


I did this video indeed using the library manim that the amazing creator of the channel #3blue1brown, Grant Sanderson, created and uses in his videos, and it is my submission to the contest #SoME3 .


If i just could have managed the time better than what i did, i would have added the section about visually prooving the limite (1 + 1/n)^n converge to e (Euler number) , which i am gonna keep for the next video. Hopefully :) .


I've always had this idea of doing such a video, but the complexity and the time i would have to put in it is just huge. Luckily, I took finally the decision to start it and it wouldn't been possible to finish it without the great great help of my cousin.


Lastly, i appologize for the bad quality of the audio and for my begginer level in english, it is my third language after arabic and french. But no worries, I will try to improve my accent and vocabilaries in the next videos, I promise :).





So thank you for watching the video and subscribe if you want more visual proof videos,. I still have a lot to show in here.




Ohh, and if you are an art fan, you can follow me on instagram, @ahmedhamoune, i post my art there.




And this is my gmail address if you wanna contact me about anything : [email protected].



#Some3 #maths #visualproof #3blue1brown #logarithm #manim