Logarithms Review - Exponential Form - Graphing Functions & Solving Equations - Algebra

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  • Опубліковано 6 лют 2025
  • This algebra 2 & precalculus video tutorial shows you how to evaluate a logarithm without a calculator, how to simplify logarithmic expressions, how to expand a logarithmic with a radical or a square root, how to condense or compress a sum or difference of logs into a single logarithm.
    Domain and Range - Free Formula Sheet:
    bit.ly/4eheN2W
    Logarithms - Free Formula Sheet:
    bit.ly/4fEwqv0
    Logarithms - Video Lessons:
    www.video-tuto...

КОМЕНТАРІ • 334

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +11

    Domain and Range Formula Sheet: bit.ly/4eheN2W
    Logarithms - Free Formula Sheet: bit.ly/4fEwqv0
    Logarithms - More Video Lessons: www.video-tutor.net/logarithms.html

  • @insite8803
    @insite8803 6 років тому +501

    Now this is how math should be taught to those who seek help in it, The Organic Chemistry Tutor goes through every possible scenario making it easy to tackle anything without the need of surprise.

    • @jowo8862
      @jowo8862 2 роки тому +1

      Disagree, a lot of questions in my honors class are still very hard and require you to think very conceptually. I feel like the should focus on problems like this too

    • @extremebeastreaction6245
      @extremebeastreaction6245 4 місяці тому

      @@jowo8862like the example problem is easy and then on the test they give something totally different

  • @jasonlinch4819
    @jasonlinch4819 7 років тому +261

    Preparing to go back to school for my electrical engineering degree. Have been out of school for 20 years. Was solid on my math skills in '96. Thought I forgot a lot of it. Thank you so much for these videos. They refreshed and triggered so much of what I was not very confident about. Cant say thank you enough. Now I am confident that I can place well with the math entry exam they are going to make me take since my ACT scores are apparently too old for the school.

    • @brickstv3156
      @brickstv3156 4 роки тому +6

      good luck i going gor mine to

    • @HellloBianca
      @HellloBianca 3 роки тому +10

      Did you finish you engineering program? I'm happy for you! I'm embarking on a mechanical engineering degree, just finishing up some pre reqs right now.

    • @strellagium
      @strellagium 3 роки тому +5

      please update us!

    • @MainulWasTaken
      @MainulWasTaken Рік тому +6

      Current status?!!!

    • @33nvyy_
      @33nvyy_ Рік тому +4

      how are you doing??

  • @patrickdhatt3129
    @patrickdhatt3129 4 роки тому +585

    20:07 Change of Base Formula
    22:50 Convert to logarithmic form
    25:05 Change to exponential form
    25:59 Solving Logarithmic Equations
    47:50 Graphing Start

  • @jedrzejbielawiec5658
    @jedrzejbielawiec5658 3 роки тому +21

    With the help of this channel I was able to pass an electronics test to advance to a higher position at the company I work for. I decided to go back to school recently and do all my classes remotely because I work full time. This man is about to help me get through my pre-calculus class. You should be a professor, your teaching style is absolutely phenomenal and so easy to understand. I cannot thank you enough for everything this channel has done for me. Please keep this up!

  • @louzocco2162
    @louzocco2162 8 років тому +219

    this video was probably the most helpful thing I've found for logs in precalc. absolutely amazing.

    • @MT-nh5eg
      @MT-nh5eg 2 роки тому +5

      Did you win, son?

    • @elhomie5666
      @elhomie5666 2 роки тому +5

      6 years later and this comment still holds true

    • @elhomie5666
      @elhomie5666 2 роки тому +1

      6 years later and this comment still holds true

  • @llo2861
    @llo2861 7 років тому +118

    You are legit a genius, everything I learned makes so much sense now. Thank you so much!! You don't even know how helpful this video was.

  • @zehra9600
    @zehra9600 3 роки тому +4

    I CAN'T BELIEVE THIS. I'VE BEEN TRYING TO UNDERSTAND LOGARITHMIC AND EXPONENTIAL FUNCTIONS FOR LIKE 3 MONTHS AND I JUST DID! IM GOING TO CRY I LITERALLY MANAGED TO SOLVE MY HOMEWORK THANK YOU SO SO SO MUCH AND ALSO YOU LIT SAVED MY NEXT WEEK BEGINNING EXAM

  • @mr.incognito9195
    @mr.incognito9195 5 років тому +13

    All of your material has been extremely helpful. In an hour and a half this video covered a whole chapter i had to read which would have taken me days. I appreciate the videos. i would be failing my class without them for sure

  • @fallenazrael5291
    @fallenazrael5291 4 роки тому +3

    You just saved me sir. Just a few things happened and I wasn't able to watch my video lessons for the whole unit. I have a test at 8 30, i havent gotten sleep and everything is fucked up. U just sees saved my grade. Thank you very much

  • @ddahstan6876
    @ddahstan6876 3 роки тому +1

    One of the best things that this world has is The Organic Chemistry Tutor!
    The second best thing (for me right now) is watching his videos because he gives PLENTY of examples so that when you're actually taking note and working out the problems, you're all set!! Thank you.
    [[I'm also watching the adds to help him out... Well, u don't need to watch them...just walk away... like taking a break]] :-))

  • @jeffreyyuan8663
    @jeffreyyuan8663 4 роки тому +204

    this dude should change his channel name to "The STEM Tutor"

    • @Green-r8n
      @Green-r8n 6 місяців тому +4

      But previous name is popular from east to west now

  • @luvasmr0
    @luvasmr0 4 роки тому +44

    I’m surviving IB math and chem because of him, thank you sm😭❤️

  • @mevoweovokevweesther3957
    @mevoweovokevweesther3957 Рік тому

    Master, please u need to be awarded. These are type of teachers that taught great mathematicians to become teachers that expect everyone to be like them

  • @ibojofamily8472
    @ibojofamily8472 3 роки тому +3

    I don't know how you do it but I was able to digest everything at the pace you were going, which is a little fast for me but the way you explained everything and went through every possible situation allowed me to understand quickly. Life saver

  • @ashleyoccelli4272
    @ashleyoccelli4272 6 років тому +177

    12:22 is 2logx+ 3logy+4logz because those are all being multiplied :) great video though

    • @MK-zy5re
      @MK-zy5re 5 років тому +26

      Ashley Occelli thank you! I was watching and saw that and cane to the comments to make sure :)

    • @nancybaib5635
      @nancybaib5635 5 років тому +7

      Thanks

    • @lesegolephoro1305
      @lesegolephoro1305 5 років тому +20

      had to pause too n check

    • @Samurai-ub6ew
      @Samurai-ub6ew 5 років тому +15

      Thanks I was wondering where the minus came from

    • @gumZ-ne4ru
      @gumZ-ne4ru 3 роки тому +6

      I came to comment section to ask this but u already did it. Tnx

  • @imanhaji7166
    @imanhaji7166 5 років тому +1

    THis guy you can not compare any other Teacher for his capacity of all scientific subject such like chemistry,physics, and math. for his excellence we have admit, he is NUMBER ONE,NUMBER ONE,NUMBER ONE .Iam agraduate and I now how to evalute Teochers(well done)

  • @jess.7155
    @jess.7155 6 років тому +6

    I love your voice its so calming and helps me understand math (which i really, really hate) better. You don't go to fast and actually explain stuff in a way that is understandable to those who are not so good at math. I use your videos for each chapter in my Intermediate algebra class to understand it better. Thank you!!

  • @Pharomid
    @Pharomid 5 років тому +41

    Even with this great video i'm not so sure I can pass my Algebra 2 test tomorrow, the teacher's tests are insane. I'll try though

    • @hermanosponce9996
      @hermanosponce9996 3 роки тому +2

      update? i know this was 2 years ago, but curious on how you did lol

    • @Pharomid
      @Pharomid 3 роки тому +18

      @@hermanosponce9996 it's been so long that I'm not too sure but if im not mistaken this is one of the only tests I did pretty good on. Thanks for asking :)

    • @jowo8862
      @jowo8862 2 роки тому +1

      @@Pharomid Having the same problem as you. You see, I'm doing an honors class which is really vigorous at our school. the average is like a 70%. the questions are really hard and conceptual so you gotta know the topic in and out lol

  • @lukeauslender6494
    @lukeauslender6494 5 років тому

    I took 3 years off of school. Came back in to Calculus 1 and was lost during the Chapter 1 review. Spent a day on this video and I've got logs DOWN! Thanks so much! :)

  • @grammar598
    @grammar598 7 років тому +7

    this legit saved my grade, you came through for my ap chem class and you came through again for my pre calc class thank you!!

  • @bababooeybababooey
    @bababooeybababooey 5 років тому +129

    Your voice in all your videos is in a super low volume compared to any other video and music so I really have to crank my headphones up.
    So when you coughed at 43:29 I had some vietnam ptsd

  • @KennyyD
    @KennyyD 5 років тому +5

    I had to review this for my Calc class since I've completely forgotten logs from HS.
    Thank you! Now I can conquer the derivatives.

  • @Jrockilla137
    @Jrockilla137 7 років тому +5

    33:05 lol I love it, I sat there for a moment trying to factor in my head as well, my first choice was completing the square on this one.

  • @MsHortel
    @MsHortel 10 місяців тому

    Thank you Dearest Angelic SuperTutor. You have cured my math trauma. God bless you.❤❤❤ You are the reason I am at A in my math class hijo. God bless you billions times over. One day I froze and panicked bcoz I didnt how to answer the practice questions and I couldnt understand the book at all. The book was giving me migraine instead. So I knelt down and prayed to St. Joseph Cupertino. Then I started clicking on youtube and stumbled across your video and exactly the explanation I needed for the problems that gave me panick attack. Now I look at the name of the section of the book and come straight to your videos and attend your youtube lectures. Your videos is my math classroom😁😁😁🙏❤️🙏 Thank you so much.

  • @imanhaji7166
    @imanhaji7166 5 років тому +7

    I think he is a slave of almighty sent to his people to help in order to be happy ,my allah bless of him he deserve more for me. you are the Teacher of Teachers(NO discussion) and you will be number one in all times.

  • @alltooswift
    @alltooswift 2 роки тому

    My precalc teacher was out for a week (not her fault, her mom was really sick) and we didn't exactly learn this unit, and the test is tomorrow... luckily I think I have a good grasp on logs now! Thank you

  • @michelmanigat6322
    @michelmanigat6322 2 роки тому +10

    Excellent work. Clear demonstration. In one word: Perfect!

  • @Sultan_A
    @Sultan_A 10 місяців тому +1

    🌟 Very Good, Long Teaching Problems, Keep It Up! 🌟

  • @keithhudson3138
    @keithhudson3138 4 роки тому

    I watched this video in its entirety to get a preview on what we are about to do in my PreCalculus class. I can honestly say that I think I am very prepared. Thank you!!!

  • @MsHortel
    @MsHortel 10 місяців тому +1

    Thanks!

    • @cobruhfn3576
      @cobruhfn3576 9 місяців тому

      He is a phenominal teacher isn't he!

  • @hervaryred1043
    @hervaryred1043 3 роки тому

    this legit the best science channel i've ever came across

  • @harigopaladamus9481
    @harigopaladamus9481 2 роки тому +1

    when a ramndom man on youtube is better than a teacher who studied for years to get their career

  • @ohwofasaevabeta4501
    @ohwofasaevabeta4501 10 місяців тому

    You're a born genius. Thank you for making maths easy.

  • @grdsinclairgrd
    @grdsinclairgrd 4 роки тому +1

    it deserves 10^10000 algorithms. thank you, teacher.

  • @d.o.t.4477
    @d.o.t.4477 5 років тому +4

    OMG!!! I have a calc test on Monday and this dude just helped sooo much now I know I'm not gonna fail😂😂. This is probably THE most helpful video on logarithmic functions and graphing them. THANKS!!!!!!🔥🔥🔥

  • @zamzammohamed8605
    @zamzammohamed8605 4 роки тому +2

    You saved my life and ur voice is just 😍😍😍I could listen to him all day

  • @nickthe1million336
    @nickthe1million336 11 місяців тому

    1:18:31 absolutely phenomenal video, although I’m pretty sure y=2^0.5x is growth because it is essentially 2^1/2, which is square root of 2, a greater number than 1

  • @charlesabernathy2252
    @charlesabernathy2252 Рік тому

    I went all the way through. That makes me happy that you have these videos.

  • @firefoxx6185
    @firefoxx6185 Рік тому +5

    at 12:36 did you meant + 4log z, not -4log z, there was no division

  • @fernplays2494
    @fernplays2494 4 роки тому +4

    this video is legendary. Great work and I apreciate your effort alot. My math teacher doesnt have any patience but this really helped because i could do it at my own pace.

  • @maray815
    @maray815 4 роки тому

    Omg why we don’t have teachers like him .. thank you so much you’re awesome

  • @shainiaakoya8341
    @shainiaakoya8341 Рік тому

    Who are you? I been searching you every where.. you're a ghost but still saves my life everytime I have math problem.. Love you man❤❤❤❤❤❤❤ thanks alot

  • @uthmanmustapha4229
    @uthmanmustapha4229 4 роки тому

    Thank you so much. You are 10 times better than my school teacher that I pay loads of money for

  • @ascovers5132
    @ascovers5132 6 років тому +25

    I've been sitting here laughing at 43:30 for the last minute. Sounds like a car trying to start up. Great video!

  • @despairbear3936
    @despairbear3936 6 років тому +11

    I learn more from ten minutes of these videos than I do weeks of class

  • @MsHortel
    @MsHortel 10 місяців тому

    I love this young man's soothing voice. It powerfully sets what he teaches in my brain❤ and Im a grandma.

  • @RodgersLagat
    @RodgersLagat Рік тому +1

    You are amazing sir..Your explanations are always the best❤

  • @ShenMantiquilla-fw5vz
    @ShenMantiquilla-fw5vz Рік тому +1

    Struggled these topics for a month, then solved by an hour long lesson TT_TT

  • @Bryan-eq6nt
    @Bryan-eq6nt Рік тому

    This is the best maths video of all time

  • @beatsaberhit9540
    @beatsaberhit9540 6 років тому +1

    Holy god thank you, this video just summed up 2 weeks of math class in an 1 hour, love you dude!

  • @nimahanna1709
    @nimahanna1709 5 років тому +4

    13:42 you can’t subtract R from Z as they were multiplied together from one term. Brackets and factor out a negative.

  • @Boobienoobie147
    @Boobienoobie147 7 років тому +76

    Great tutorial. But his voice is too soft and soothing. It makes me want to sleep especially with the all black background in a dark room at 10pm...just before a math test in the morning

  • @mayahfils1852
    @mayahfils1852 5 років тому +6

    You are amazing. Thank you for making my life easier. I learn more from your videos than the actual class.

  • @Mafila
    @Mafila 6 років тому

    I love your videos, they have helped me so much with my math classes. The only suggestion I would make is to increase the volume of your voice. I have to turn my volume way up to hear you clearly, but as soon as an ad starts playing it becomes deafeningly loud. Thank you!

  • @FaithNkwinika-z2y
    @FaithNkwinika-z2y 8 місяців тому

    You deserve an award sir🎉

  • @ashlynicorn1012
    @ashlynicorn1012 2 місяці тому

    omggg this caught me by surprise HAHAHA 53:51 “you can do it!!”

  • @Haru-eb3si
    @Haru-eb3si 4 роки тому +1

    there is exactly one hour left for my exam and this helped alot many thanks 💖☺️

  • @blastwave1315
    @blastwave1315 Рік тому +1

    I thank God because of you as one reason

  • @zachmiller5259
    @zachmiller5259 5 років тому +1

    Your literally better than my math teacher

  • @ethannuechterlein1352
    @ethannuechterlein1352 4 роки тому +1

    Thank you for making this video!!! I probably would have failed my test but I got an 85%. The way you explain everything just makes sense

  • @eyespikes843
    @eyespikes843 3 роки тому

    I learned more from watching a few vids of his than I did in all my high school years lol.

  • @icebeeranger8373
    @icebeeranger8373 Рік тому

    Awesome video. I would have excelled in math if I have watched that video before during my secondary

  • @MicahXrin456
    @MicahXrin456 4 роки тому

    Yoh!!!! you are the best teach in mathematics.

  • @muhammadsaniwada307
    @muhammadsaniwada307 2 місяці тому

    This guy is great. I now earn a leaving from the tutorials he gives.

  • @jacobm7026
    @jacobm7026 5 років тому +4

    Just about everything was great! Good job! You made a minor error at the end relating to exponential decay or growth. Specifically, y = 2^(.5x) is still growth, albeit more slowly than 2^x. Just see how the function increases as you increase x.

  • @theodd1soout
    @theodd1soout 2 роки тому +2

    Half of the people in this comment have stopped learning by now some are dead some are lost souls some are rich and don't even remember it

  • @swiggityswoner4281
    @swiggityswoner4281 6 років тому

    I have a final exam tomorrow and you helped me a lot thanks man your the best

  • @mattman3884
    @mattman3884 10 місяців тому +1

    12:35 I don't get why we put a negative sign infront of 4 log z shouldn't it also be addition?

  • @restyportacio5492
    @restyportacio5492 Рік тому +1

    At 12:33, why is the logZ^4 minus? Shouldn’t it be plus because it is multiplied together with X and Y

    • @NYXALINA
      @NYXALINA Рік тому

      yes, its a mistake

  • @popefrancis9756
    @popefrancis9756 3 роки тому

    ur a g, even helping me in college man

  • @BurmeseUSA
    @BurmeseUSA 7 років тому

    how do I use calculator to exactly type the numbers? 1:02:40 someone please help. I don't know how to use the calculator in this case. sounds stupid, but I need help

  • @matz3864
    @matz3864 4 роки тому

    amazing, deserve a million likes

  • @rrishi4743
    @rrishi4743 5 років тому

    I think he was sick while dng this vid. But i appreciate his dedication. Hats off to u

  • @ryanevans1408
    @ryanevans1408 4 роки тому +2

    Really appreciate you man. You make things so easy to understand

  • @llamallover1057
    @llamallover1057 Рік тому +1

    I have my ap calc ab exam tomorrow and I realized I have no knowledge on logs, and the college board seems to love putting them in every other question. so I'm here now 😅

  • @affasea
    @affasea Місяць тому

    i spend more time with you than with my family holy shit

  • @melogens994
    @melogens994 2 роки тому

    Watching this rn and it helped me a lot! Thanks so much for the vid

  • @foixjonwilliamson
    @foixjonwilliamson 7 років тому +18

    who knew that mark wahlburg was so good a math

  • @israelllkipi5321
    @israelllkipi5321 Рік тому

    Thank you organic chem I love your lessons 🥺

  • @autocad1948
    @autocad1948 5 років тому +1

    it's very helpful, i use my book only for exercices, thank you for all.

  • @amirrezaff9250
    @amirrezaff9250 3 роки тому

    one of the best you can find

  • @motra13
    @motra13 5 років тому

    34:44 2 woot 2
    Thanks for the help🤝

  • @arsentumanyan9334
    @arsentumanyan9334 5 років тому

    thanks that really helped me get a 69% on my logarithm test

  • @jaymsf4503
    @jaymsf4503 Рік тому

    Awesome lecture. Thank you so much.

  • @حليمةعطاالمنان
    @حليمةعطاالمنان 2 роки тому

    Thank u so much u are such amazing i never though i will under stand math our teacher took 2 weeks to teach this 😶

  • @elizabethcaballero4160
    @elizabethcaballero4160 7 років тому +1

    these videos are VERY helpful! they make it easier for me to understand step-by-step. thank you

  • @faithisabel25
    @faithisabel25 8 років тому +2

    Maraming Salamat (Thank you) for posting this video :-)

    • @n1sha.ace33
      @n1sha.ace33 5 років тому

      @@jamaljamal-nt5ke i thought so too

  • @firefoxx6185
    @firefoxx6185 2 роки тому

    at 56:13 wouldn't it be (2,-∞), because (-∞, 2) would move from third to forth quadrant?

  • @MarioFranco-lu3gl
    @MarioFranco-lu3gl Рік тому

    @41:45 when he's dividing, why is he putting the negative term at the top as the numerator? does anyone know?

  • @barakah08
    @barakah08 Рік тому

    Why is it -4 log z at 12:35 ? Shouldn't we be adding and nit subtracting?

  • @Noah-357
    @Noah-357 2 роки тому

    Great education work

  • @queenkaine3619
    @queenkaine3619 5 років тому

    For graphing exponential if the function is y =x^2e^x, the horizontal asym is 0 I am saying if there’s no number adding to the function, the horizontal asym is always zero?
    But this video really helped me thank you sooo much 💯 I have a test coming next week and is hard understanding how to graph exponential and logarithm function but here I am finding the most understanding video Merci beaucoup from Montreal 😊😊

  • @ashleymohun560
    @ashleymohun560 6 років тому

    Dude I don't know how u do it but I'm sure u cured all my diseases I mean everything is taught in school is gud but as hmk when questions where we don'tknow what to do u solved I mean u detect the blind spot of calculating those questions wow ur gud u are praise worthy thx Sensei I mean guru solved all my problems and plz continue to do more videos plz and gud video^_^^_^:-):-)😁😀😀😊

  • @michaelzanfardino5931
    @michaelzanfardino5931 3 роки тому

    At time 12:32 I don’t understand why the z axis became negative while there’s only multiplying and addition in the original equation?

  • @jpepiclord3964
    @jpepiclord3964 5 років тому

    Thanks :)
    You are saving my grade.

  • @studywithme5998
    @studywithme5998 2 роки тому

    this vid was really helpful thnx but I have a question: at 1:12:27 if the question says it doubles every 20 min lets say what do we do in that case? will it be like y=5000(2)^t/20 or??

  • @zenwi3068
    @zenwi3068 3 роки тому

    hey at 31:52 couldn't you just subtract the log to the other side. Then turn It into a division problem that = 0. Log2 (x^2+5x)/(x+4)=0?

  • @rossisempre86
    @rossisempre86 Рік тому

    Why at 12:36 is the answer -4 log z and not just +4 log z..? This wasn't explained and doesn't seem right.

  • @exstand3029
    @exstand3029 Рік тому +2

    Thank you