Laws of Logarithms: ln(x/y) = ln(x) - ln(y)

in hive-196037 •  6 days ago  (edited)


In this video I go over the logarithm law ln(x/y) = ln(x) - ln(y) and prove it using the previous log law which I proved in my earlier video which is ln(xy) = ln(x) = ln(y). Note that in this video I prove this law strictly using integrals and derivatives and not on the old definition of logarithms as the inverse of exponential functions like I showed in my properties of logarithms video.

Download the notes in my video: https://1drv.ms/b/s!As32ynv0LoaIg4MY6fBaw0Z-KoPXXw?e=lE1D8z

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/laws-of-logarithms-ln-x-y-ln-x-ln-y

Related Videos:

Laws of Logarithms: ln(x*y) = ln(x) + ln(y): http://youtu.be/2SCZzFy2b2s
Natural Logarithmns Defined as Integrals: Introduction: http://youtu.be/M-N2PQ5UZns
Inverse Functions - f-1(x) - An Introduction: http://youtu.be/qIqj3oKwFi8
Logarithms and their Properties - An Introduction: http://youtu.be/AZ6KKym19gI
Natural Logarithms, Log base 10, and Some Examples Using Logs: http://youtu.be/XRSkMk5L3pk
Fundamental Theorem of Calculus - Introduction and Part 1 of the Theorem: http://youtu.be/3o8Q6UJzJyk


▶️ DTube
▶️ BTFS
Authors get paid when people like you upvote their post.
If you enjoyed what you read here, create your account today and start earning FREE STEEM!
Sort Order:  

I don't always prove logarithm laws but when I do I make sure to use previous log laws that I've proven earlier ;)

View video notes on the Hive blockchain: https://peakd.com/hive-128780/@mes/laws-of-logarithms-ln-x-y-ln-x-ln-y