❖ Properties of Logarithms ❖

[@braytonsky7275]

High school teachers: You'll learn this in uni University Professors: you should have learned this is high school KZbin: I got you

[@LF58888]

Learned this in KZbin

[@rotinpiece12]

It was 2010 and I was a student when I first found out your tutorials. Year is 2019 I'm an engineer now and I still watch your videos everytime I need to remember something about calculus. Thanks!

[@patrickjmt]

time flies :)

[@patrickjmt]

@dominator30000 making videos is now the primary source of my income, yes. and i have had people approach me with the idea of taking all of these videos off and making them a pay subscription but i will never do that. i like it being free so that anyone can watch.

[@cristrivera]

Thanks💯💯💯

[@squishyyyx3]

Thanks!

[@arpitanayak3753]

Thank youuuuuu🥺🥺😭

[@rockyboy5545]

Thank you sir.

[@jcpartri]

and this is why we love you. :-) Thank you patrick. Your videos are very helpful to me during this Covid19 season as I try to support my Algebra 2 students.

[@alanzhu6411]

your 20 minutes of teaching was equivalent to 2 weeks of my teacher

[@SWAGLIKEIS]

Alan Zhu Exactly

[@D5000-q6f]

Alan Zhu Ikr

[@chelu6717]

Alan Zhu for me and my class it was like 3 months of my teacher

[@valentinanongthombam3810]

Alan Zhu wonderful... Yahhhh

[@Romeo-gp7ms]

i know it`s a joke and i find it funny but if a teacher teaches as fast as this guy`s pace, you will have to learn whole lot more things during your scheduled period. haha

[@LunaMatrix]

Hey it was 2017 when I was a freshman at my community college. Now it’s 2023 I have a BS degree and now brushing up my math skills to apply to medical school. Many thanks for helping me with all my math issues!

[@oliviaauclair2199]

I used to watch your videos when I was in high school. I have't done math for 2 years and now that I am taking calculus, I have found you again! I'm so happy! :D

[@rebekahsands9360]

This was SO helpful. My teacher actually referred my class to your video.

[@valentinanongthombam3810]

Rebekah Sands woooow

[@jamesharris1452]

Sick of teachers in college or HS using youtube of someone elses content to teach. Literally paid salary to tell students to do it themselves. Horrid

[@richardkong6226]

@@jamesharris1452 Had one of them last year. 20 year old student teacher with no experience. Felt bad for her she got pushed around by my class but I never did fully grasp graphing exponentials.

[@NuminousChild]

What a life saver! My damn professor zoomed by this chapter like it was nothing. But after seeing your explanation i now have a clear cut idea on how to solve these problems

[@patrickjmt]

i appreciate the math humor! : ) glad the vids helped

[@cparnin]

You, my friend, have no idea....how much you help. I got through pre-calc and trig with you, and this fall I'm sure I'll be consulting with you for Calc I. Count on it!

[@GRAND4x4AutoAccessories]

I swear you're one of the best teachers by far. Most of the math teachers that I've come across don't know jack about teaching properly.

[@latinferlife]

2 hours until exam, time to cram.

[@heyfkldsm]

lol same here, mate

[@EliteCitrus]

if you were cramming this how did you end up? lol

[@YanitedBT]

facts

[@heckerman3830]

I'm here 20 min before the exam.

[@fricktard12345]

I’m watching this during my exam

[@AlmondOK]

Wow, this was simple, yet brilliant. You summarized two weeks of learning in twenty minutes! Thanks again, Pat!

[@patrickjmt]

simple and helpful is precisely my goal

[@treasurenjoku2694]

Exactly

[@tbenjamin2006]

This guy got me through so many Math classes!

[@jakep877]

Why do all of the best teachers have to be left handed?

[@allenshinoxaki937]

***** Your left side of your brain is the logic/analysis/computation side. The right side is creativity/visualization/seeing patterns. We are primarily left brained as a species, so if you're good with your right side you get the benefits of creative problem solving.

[@jeffreyspier4356]

but doesn't the left side of your brain control your right hand, and vice versa?

[@AshLonewolf]

Omg i didnt even notice...im left handed too lol

[@alexlambie5628]

@@jeffreyspier4356 with the corpus callosum!

[@megangwynn4735]

Thank God for this channel, it's been over 30 years since a math class. Have NO iDEA what this stuff is and my tutor says check this out , glad I did... GREAT JOB

[@burnoutnt]

2 weeks of confusing math class explained in less than 20 minutes! I love you! Thank you for your time doing this!!

[@darkhunter454]

so bascially, i looked at my math exam overview, and it said KNOW LOGARITHMS...and i said to myself "omg i dont know anything about logs" i then soon realized that i could come to you once again for help!! :) thank you so much! you cover everything in my 12u math course.

[@saniakhantv]

you have really nice writing, straight lines and everything

[@knotfkingaround90]

He does

[@EliteCitrus]

he's got that female grade school teacher writing which i love.

[@awininegeno]

We need more people in the world like you. People that teach for the sake of education, not as business.

[@ronredactlastname4705]

You ever had a moment where you were so confused and frustrated in pre-cal that you turn to a youtube video and now you get it and find it easy? I just had this moment. I guess being able to rewind and pause is man's greatest innovation

[@ravisankar9669]

I am Novice in Logarithm.After watching your video I am motivated and encouraged to learn more & more.Thank you MASTER.

[@96792luv]

Its finals week, I wouldn't have been able to make it through the semester without you. Thanks!!!

[@RaunnHD]

I'm going to use your videos to help me understand what I may not be understanding from my professor. He's not hard, but maybe his concept in the way of teaching this is different and understanding him is a little difficult though he is easy to come around if you know what to do. I'd be even more happy if what he is teaching me and what I learn from you sticks in my memory bank better. Regardless of anything, your videos just make everything easier to understand when a professor teaches.

[@patrickjmt]

+RaunnHD hopefully between the two of us, it will be ok!

[@erydeppbritney]

Patrick, you are amazing. I have been watching your videos for over a year and they have helped me a lot!!!. The material provided is clearer than what the professors teach. Thank you!!!

[@sabrinatai8468]

Thanks! It makes a lot more sense now :)

[@SexymanJUGS]

Freshmen year I failed one quarter because I failed my Logarithms test. Now i'm in Pre-Calc with a pretty bad grade. I want to redeem this year by Acing this Logarithm test for finals tomorrow. So I'm now reviewing from You, Patrick. Thank You so much! I'm going to Ace it.

[@allyssayandoc]

My teacher is good but he's been teaching me for two years and I learn more from you in an hour.

[@amehclinton1240]

This is really amazing,even someone who has never come across this topic,will understand and enjoy it when he watch this video

[@downtownal400]

You, sir, are a savior to us math-challenged plebes. Me and all those like me, bow humbly before your mathematical brilliance and thank you profoundly for your generous teachings.

[@patrickjmt]

paid through all the nice comments :)

[@BlkDiesel]

I thank you for your effort and diligence. You are a blessing to all of the mathematically challenged folks on the net. Keep up the excellent work and again thanks.

[@liamgallagher5611]

Thanks for that. I will be watching this over and over during the holidays. Should be one impressive MO FO by the time I go back to lectures in Janurary :)

[@Inuhowl]

I love this video! The material is explained simply, the examples are easy to follow, and all the extra rules and notations make total sense!

[@DullahOblongata]

OMG! you said it "it might be confusing for the first time" my teacher started teaching it today and he's horrible and we have a major test on it in 2 days. Thanks to you though i get it now and i'm half way thru the video!

[@ButtInDa]

If I spent all day, 24h, watching your vids il KNOW everything my teachers TRY to teach me in a year :O. Thanks alot man! :)

[@KMHunsaker1]

Thank you for doing these videos you have no idea how grateful I am! Seriously you're a great person.

[@futsalmaniac]

Dude, I love you. I hadn't been taught those last few cancellation laws at all! I'm so glad I was watching this video to try and see if I remember what I studied last year. Thank you!

[@birkaigner5976]

This was very helpful :) I had some problem focusing in class, and our teacher talks sooo fast it should be illegal :P I find it very good to be able to pause, play and think at my own rate! THANKS!

[@jodi183]

You are a godsend! Your tutorials are very clear and easy to follow. I'm taking math for liberal arts, and I have watched a few of your videos throughout the semester, all of which have helped me immensely. Thank you!!

[@theledhead96]

Trying to remember my stuff before calculus and this is helping me so much. I know you get these a lot but you are saving our asses daily. Much appreciation.

[@njfife14]

This is good stuff, I am reviewing logs for my calc class. It is hard to manipulate some of the larger calc problems if you can't remember the rules and basics of Log's, so thanks for the help. your videos have been the most clear of any I have found in general. The often exceed my class time in terms of time spent to learning gained.

[@riann216]

Usually this stuff makes me want to repetitively bash my head against the wall. I really appreciate you saving many headaches : ).

[@luvjohncena4ever]

I love love love your videos! You explain things so well and makes it so much easier to understand. Thank you so much!

[@hm_gam3z83]

man I just want to say thank you so much for this video. My teacher doesn't explain it properly. Your videos are super helpful, thanks

[@katymcpherson2564]

I just missed like two weeks of my Math Applications class... You just caught me up! Thank you!

[@HueJazzz]

I was solving logarithmic equations and I literally shat my self =/

[@miguellira9903]

x=shit is the awnsar

[@jenna012195]

You have saved my ass. I've been in so many math classes, including AP Calculus in high school and we just never did anything with a log. Now in college I'm sitting in Calc trying to figure out how to do derivatives but I figure I need to know the basics about a log in the first place. I have an exam on this stuff in 13 hours. Thank God for you.

[@gandhylopez5255]

My math teacher didn’t want explain this topic, but thanks to you I understand the topic. Thank you!!❤️

[@BrownFlip7852]

subscribed! Helped me understand in 20 minutes what a whole term of work couldn't.

[@OnlyALitteLost]

Thank you so much!! I used this video to study for an exam and I think it really helped.

[@Lovelykisses87]

Who knew that logs could be so incredibly easy. Ahh . . . I can finally breath now :) Thanks to your wonderful and well explained videos I was able to ace my exam this morning. Thank you, thank you, thank you!!!!!!!

[@iamawesomesauce68]

Thank you thank you thank you for posting this. I absorbed this so much better than I did in my 2 hr 40 min class! You make this so much more understandable!

[@ohyeahigotit]

Same with my school. My online class has each chapter associated with patrick's videos. The only instruction/help we get are from these videos. We're not required to use a textbook either.

[@josealejandro1994]

I love it. The only place where you wont find Call of Duty trolls. On a channel dedicated to mathematics. Great work by the way, keep it up.

[@MarvinStroud3]

I haven't looked at this stuff for about 45 years. You are a great teacher. You make it simple! Sam Dunnam, BSEE

[@silverstarlights]

I was struggling through this topic for so long, this video made everything clear and understandable (: thank you!!

[@addalilirishtourgame]

old video! you sound so young! you have improved you're voice and have gotten much more confident and smooth, not to say you weren't great because lets be honest this is the stuff that got you popular in the first place. TY for all you do.

[@phantasmaniacal]

hello @patrickJMT. i wanted to say thank you very much for your service. i have continuously returned to your videos and instruction. without your help, i might be getting by, but doing so far less easily. i sincerely hope that, in the words of mos def, you "be getting caked off your bookings." seriously though, your work is appreciated.

[@Kachii3]

You changed my life. I hated logs, and now, I think I'm in love with it. THANK YOU! Why couldn't you be my math 12 teacher?

[@timmylol6]

at 17:17 there is an other way to do it, i gues. What i did is: Log5 (10) = x-3 Log (10)/Log(5) = x-3 4,4307=x-3 4,4307 - 3 =x. Answer: x=1,4307. If you put that back to the power of 5, you will get the answer 10. So the circle is round.

[@catalinamartinezveloso6064]

Tomorrow I have my math diploma...thanks man!! 🙌🙏🙏🙏

[@GuardianDiancie]

Your my favorite Math teacher or shall I say Tutor. I am terrible at math (but) with all your videos, I will get better... Every time I have problems, I always come to you to see if you can help through your videos. What a headache, I have right now. ~ I don't think its from water 3 straight hours of your video. ~ Maybe I'm just worn-out from Drawing I class and the standing up we did the entire class

[@EliteCitrus]

this is EXACTLY what i was looking for. and it's from one of the best on youtube. thanks a lot.

[@chloeouimet]

I love your writing. And I love your tutoring. Thank god for this or I would fail my test tomorrow.

[@mininaaz0125]

i learned more in 20 mins from you then i did all semester.. thanks!

[@oreion69]

Thank you! Your videos are very helpful because you do such a great job at demonstrating mathematical principles!

[@kingpinfrost1]

I have really enjoyed your teaching, learnt a lot more than I did in class. excellent work.

[@MonCoin]

@manish, remember that ln=log_e... so what you see on the left is e^log_e(log_e x)... you use the cancellation law as he showed earlier so you get log_e x, that is ln x. The right side remains e^1 since no cancellation is possible there. Then he made lnx to x on the left and the right becomes e^e^1. Remember that e^1 = e, so it is written e^e.

[@AshLonewolf]

Definitely my ultimate go to teacher for tutoring

[@daniyaltariq3137]

THANKS ! The cancellation laws really helped.

[@esantoinette]

I don't understand why they can't replace Bonnie (my teacher, it pisses her off when I call her that) with you. You...are...AWESOME. thank yooouuu.

[@MegaPublicPranks]

Your videos are what are helping me through math. Thank you so much.

[@Not_silv]

Just a student passing by getting a head start for my next grade

[@diamondchrissy1622]

Thank you so much, this is absolutely helpful! God bless you and your amazing ability to teach this! Any student is lucky to have you :)

[@DomiNateOffical]

This guy got my GPA going up ! Props bruh! Keep doing whatcha doing

[@XTeejeX]

Great teaching method. I should do well on my quiz tomorrow because of you. Thanks!

[@matthewcarlson9963]

this was an amazing video on logarithms. I never thought I would learn how to do this because every time I saw a logarithm problem in a textbook I would be completely lost. I had a test that I had to pass this year and I am a senior in high school. I needed to pass the test and there were logarithms on this test and unfortunately I failed the test and I need it to graduate and I needed to learn logarithms and thanks to you I learned them thank you so much!!

[@Spookypeachesboii]

This was so helpful!! Definitely subscribed!👍🏼

[@wk0]

Thank you for your help! Finals tomorrow an needed a memory refresher!

[@androramirez7910]

few of the best videos about math... great job...

[@IfMusicWasLife]

It's an 8 year old video.

[@WesternEasternTruth]

It's funny how, even though I'm in pre-cal, the basics help me so much. Thanks! These videos, particularly on graphing rational functions, have helped me to raise my mark 25% in hte last month and a half, no joke :) Thank you so much

[@martindionisio11]

Very helpful! Great video Patrick!

[@Jono.]

Used to reiterate some knowledge for my exam tomorrow, Ty!

[@EFEFIlIl]

I finally understand this! I rewatched some parts again because I'm slow like that lol. My final is tomorrow so thanks so much!

[@AngusTaoHuang]

Your video and teaching is definitely useful and helpful, I'll continue watch it. :)

[@chufengxilin9869]

Thanks for the technical explanation, I didn't know that converting an exponential equation to logarithm is just a cancellation rule, I used to memorize the order of them bu now I just solve them

[@gettmad_]

Hey @patrickjmt , one question from your statement at 6:57: if X and/or Y are negative I cannot apply the log rules and have to find another way to simplify? Ex. Log(base)a=-3x+3 If I am incorrect could you please elaborate a bit more? thanks so much.

[@hahaha10001]

Your lessons on quadratics gave me an A on the final last year, and hoping to get an A on logs 2moro! THANK YOU VERY MUCH!

[@pushkardeore2735]

you are amazing dude!! you teach better than my maths teacher Please continue making videos

[@roohijaiswal1403]

Very energetic sir! I have learnt many topics from Vidya Guru channel as well. All content they used that is really so exam relevant.

[@patrickjmt]

@yondy12 i think most people find them tricky at first, so hang in there!

[@WoshurBones]

Thank god for Mathematical intellects! I've been taking it hard in the ass from my A2T Reagents course all year making it by with 70's and the occasionally 80, tomorrow is my final, thanks to these videos I think I've got it in the bag. Pat, holy shit, your existence is appreciated.

[@briandube8366]

You sir are awesome! ! I love math more because of you Patrick JMT

[@purplec16]

Thanks so much for sharing! It helped a whole lot I was frustrated and scared of log's but this calmed all my fears and I think I should be ready to get an A on my final exam!!! Woo-hoo!!!

[@LonePawProductions]

I finally understand logs!! Thank you sooooo much! Now I won't fail my final exam tomorrow :D

[@Supadupatight]

I can't thank you enough for all these videos. Thanks again for forever saving my grades lol.

[@shashankbhargava5316]

Thankyou so much sir . Best explanation 👌👌👌 From🇮🇳 India.

[@jonathansmith2575]

Great videos. If only I had a maths teacher like you when I was at school.