THANK YOU for revising every log rule within 25 min

More teachers need to teach logarithms and exponents like this. I wish my teacher did that. Instead, we were given a bunch of rules and worksheets and I just memorized everything without understanding how they were connected.

your human made gem entertains me

Great video: Note, minute 16:48  should be (x+4)/(x+2)

best video on logarithms. How did I find it just now

1:36 lool

THANK YOU SO MUCH. I have an exam in 3 days, and I really struggled with logs because they were never taught properly in school. But this video helped me a lot

PLEASE do integrals too. you're the best :((

You just taught me what my tutor couldn't.Thank you so much, I really enjoyed watching this and learning the rules.Wish me luck on some practice questions.

saving me before my Alg 2 regents 🙏

finally someone saying "euler" and not "oiler"

Please teach Further maths Pure 2 for upcoming Edexcel ial students

you just made me realize how beautiful math is

Thank you Dr Ji - I agree, having lists of log rules (to just memorize) is intimidating. Best to unpick with examples the way you did. The background piano music was soothing and really helped.

This is really underated!

THIS WAS SO HELPFUL can you please do natural logsssssssssssssssssssssssss?

Just a heads up for anyone watching the equality rule at 9:21. be super careful with the idea of just 'crossing out' logs. Log is a function, not a variable or a multiplier.

It hqppens to work in his specific example because it's just log(A) = log(B), but this visual trick will completely fail you in harder problems. For instance, if you have an equation like log(2x) - 3 = log(x) - 1, and you just cross out the 'log' text, you'd get 2x - 3 = x - 1. That is 100% wrong because the -3 and -1 are outside the function, so you can't just delete the logs.

It's way better to learn the actual math rule (exponentiating both sides) rather than relying on visual hacks, otherwise you're going to get really tripped up on major exams.

Dude, I love u. I’m in calc ab, but never really learned this stuff since I was in online school for many years. Thank u so much

...  Good day to you,  LOG(base A)[B] = LOG(base B)[B] / LOG(base B)[A] = 1 / LOG(base B)[A]   ... I see  the LOG Rules being very interconnected with each other  ...  When I look for instance at the Power Rule, I see a special case of the Product Rule, where the argument is X*X*X* ...  =X^n , all same variables (no X*Y, but just X = Y) ...  LOG(X^n) = LOG(X*X*X* ... n times) = LOGX + LOGX + LOGX  ...  n times, so  LOG(X^n) = n*LOGX ... I understand, to give the LOGARITHMS' learning material some structure, one needs names, but after having myself applied the existing rules frequently, I to be honest do not remember their names, which in my opinion is a good sign, namely UNDERSTANDING these rules has taken over the place of names! I also would advise beginning students NOT TO SKIP the proofs of LOG RULES, but invest time in them; better for the long run!  ...  great presentation Dr. Ji and thank you for your always clear and continuing math efforts ...   best regards,     Jan-W

Thank you so much! You have taught me so much in one video!!!!