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.
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.
... 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
Love your approach... QUESTION: I've been trying to remember an equation from first-year calculus class. All I remember is that the derivative produced the set of all values of x, where, * x < 0, y = 0; * x > 0, y = 0; and * x = 0, y = ±∞ What function will have as its derivative this set of values?
Hi I am a parent. I don't know anything about calculus. But your videos explains it well. Do you help students with Further maths? Appreciate your help
maybe you should do a little research on logs too, its a versatile topic from high school mathematics...and those who want to know it..will have to do a little research on this topic. Rather than expecting from other, you should do hardwork yourself insted of criticising
The purpose of the video is to give students a more concise way of visualizing and utilizing log rules to help them through the logarithms chapter in PreCalc. I don't think log tables are used/taught anymore, at least where I'm from, so I didn't see the need to include it in this video (that's already longer than I wanted it to be)
@@drjitutoring Sorry. I disagree. Anyone can use logs without having a decent understanding of what they actually represent and how they have been derived. That's what people are actually looking for. The rest they can get anywhere. Perhaps your struggle with that too hence the avoidance of actually explaining it.
