Properties of Logarithms

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  • Опубліковано 22 січ 2025

КОМЕНТАРІ • 284

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +15

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

  • @dilahspardi
    @dilahspardi 6 років тому +1324

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      @elisamarconell9991 5 років тому +37

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    • @madisonm2407
      @madisonm2407 4 роки тому +37

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    • @johnpeters9153
      @johnpeters9153 4 роки тому +12

      In cal 4 and DE I still have to watch his videos

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    • @steve-fz3vp
      @steve-fz3vp 3 роки тому +1

      Yep

  • @Firetailisafk
    @Firetailisafk 2 роки тому +283

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  • @deborahachimugu1783
    @deborahachimugu1783 6 років тому +444

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      @kalebmccaw8430 6 років тому +6

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      @Arbiitrary 6 років тому +4

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      @Joker-sr8mo 5 років тому +3

      him and the yaymath guy

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      @core_server1234 5 років тому

      disagree

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    @topDragon-f9t 3 роки тому +48

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    @realtad6761 4 роки тому +88

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    @annetnedelec1313 2 роки тому +13

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  • @n43vis
    @n43vis 10 місяців тому +4

    most attractive thing a man could do is explain properties of logarithms

  • @jiminslachimolala3872
    @jiminslachimolala3872 2 роки тому +4

    i have an assignment about this topic and i dont understand a single thing that my math teacher explained, you are my savior sir, thank you.

  • @QuasiKiwi
    @QuasiKiwi 3 роки тому +6

    My teacher told us about this in class and i didnt understand a thing, but now i do, you do not understand the gratitude i have towards you for this, thank you so much for saving my marks

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    @JesusCardenas-sc4rn Рік тому +2

    Thank you. You answered my question right off the bat, after having watched that ad that says, "still looking at UA-cam videos from 2006"? LMAO. I needed help rewriting ln(a^3) and you nailed it. 3ln(a). I came across your videos last semester for stats, and have came back ever since. Thanks again, best wishes.

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    @MeklitHaileslassie Рік тому +2

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  • @itsmeruben1516
    @itsmeruben1516 Рік тому +2

    Thank you for this video, my math teacher didnt teach this and it is on the exam I have tommorrow you are truly a lifesaver mate!

  • @Silverwinglz
    @Silverwinglz 5 років тому +191

    How is it that I was totally lost and angry at the concept days ago and now understand it crystal clear...wh-
    Great video though. Clear, to the point, and _doable_ .

    • @felixmejia6211
      @felixmejia6211 4 роки тому +1

      @NOAH PEREZ its harder now lol, in quarantine trying to study is really scary xD

    • @ricaulcastellon9615
      @ricaulcastellon9615 4 роки тому +3

      It's called "working under pressure". When we took these courses, we had to make the grade no matter what. Now, there is no pressure whatsoever and we have all the time in the world.

    • @slopcrusher3482
      @slopcrusher3482 3 роки тому

      once you understand logarithms it makes a lot of sense, but it almost seems impossible without knowing what to do.

  • @georgesadler7830
    @georgesadler7830 3 роки тому +9

    MR. Organic Chemistry Tutor, thank you for explaining the Properties of Logarithms in precalculus.

  • @robeder7205
    @robeder7205 6 років тому +26

    i should stay at home and watch your vids cause i learn more here than going to school everyday. ANYWAYS THANK YOUUUUU💖

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    @icon458 2 роки тому +13

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      @ew_stinky_6453 9 місяців тому +1

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      @Slay_Ant 8 місяців тому

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      @nothing.4645 7 місяців тому

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      @Aetherakabane Рік тому

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    @xYovth.Z 2 роки тому +1

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    @marvinkalela3528 Рік тому +8

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    @gideonafolayan691 Рік тому

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    @Primal_Dad_Truther 3 роки тому +3

    Out of many videos I've watched this was understandable! Thank you buddy

  • @serinacat4781
    @serinacat4781 5 років тому +1

    Best video for logarithmic property on youtube

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  • @GSU_Panther_Nation
    @GSU_Panther_Nation Рік тому +2

    Thank you for this video. It really helps me a lot to know the properties of logarithms to not only do well in Calc 1 and Calc 2, but also chemistry, as sometimes when you try to balance chemical equations, you may as well use the properties of logarithms to your advantage

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    @realkyraful Рік тому

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    @unplugged9650 2 роки тому +1

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    @Persi007 Рік тому

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    @tunabros 5 років тому +7

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  • @mathtutorph5718
    @mathtutorph5718 4 роки тому +1

    They have made this topic complicated in our book! There are some transformations that happened, something like that. Thanks to this video I can finally move on to our next topic.

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    @MrIbrahimabutouq Рік тому

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    @NoelaniShapiro 3 роки тому

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    @Zacharyvilly1 3 місяці тому

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    @tagemahle4813 3 роки тому

    Your video made it look so easy. Wish you were my professor right now!

  • @l_a_h797
    @l_a_h797 10 місяців тому

    Thanks for making this explanatory video. Note that at 0:25 there is a mistake in the audio (and subtitles): It says "log A times log B" but the second "log" is wrong.

  • @Alandmahdi
    @Alandmahdi 11 місяців тому +1

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    @360sauce7 2 роки тому

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    @XavierDavid-k7o Рік тому

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    @monkethemunch 3 роки тому +6

    You are awesome I have a pre cal test tomorrow and I feel confident going in to it now!

  • @NemoIncognito
    @NemoIncognito Рік тому

    Thank you for the explanation. I was struggling to understand.

  • @حليمةعطاالمنان
    @حليمةعطاالمنان 2 роки тому +2

    Brooo my math teacher took a whole 2 days to explain this and u only took 5 mins bro u are such amazing

  • @demonking6592
    @demonking6592 3 роки тому +1

    Does such an amazing job unlike my teacher at explaining

  • @candacemarie4190
    @candacemarie4190 5 років тому +47

    Wonderful!
    (Isn’t it going to be +log 16?)

    • @CoryandStuff
      @CoryandStuff 3 роки тому +11

      This is an old comment but I thought it was weird too, here's my take.
      I looked at it further and the plus sign was converted over to a negative (flipped signs on the right), but I guess he just subconsciously/instinctively knew that so he didn't mention it on accident.
      Here's what happened broken down:
      [(n+n)-(n+n)] = [n+n - n-n]
      Hopefully my overly simplified example above makes sense.

    • @Jun-dy1py
      @Jun-dy1py 3 роки тому +1

      Yes.

    • @candacemarie4190
      @candacemarie4190 3 роки тому +2

      @@CoryandStuff Thank you :)

    • @999-
      @999- 3 роки тому +2

      @@candacemarie4190 omg she replied

    • @candacemarie4190
      @candacemarie4190 3 роки тому +3

      @@999- hahaha yes! Hope y’all are doing well

  • @osoxan5581
    @osoxan5581 5 років тому +2

    Life saver I was about to fail math!!

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    @ibrahimbaras7648 3 роки тому +1

    great effort you doing man , keep it up please we will support you by anything

  • @APRenz
    @APRenz Рік тому

    Basically, you increase the operation done on the argument.
    Consider the time (in seconds) increasing as the size of two given objects grow (in liters). For instance, let "A" & "B" be the sizes of the objects, let "10" be the rate in which they grow, and let "log A" and "log B" be time.
    If you are adding the times that the objects took (log A + log B), then you multiply the sizes that it took to get there (log A * B). Similarly, it you wanted to multiply the time the objects took (N log A), then you exponentiate the sizes to match the time (log A ^ n). This works the same way with quotient rule.
    Basically, what I learned was that the amount & time have direct correlation with each other, and the amount is heavily dependent on time. Since the size of the objects is growing so quickly over such little time, simply add seconds to the time would cause the objects' size to be vast.

  • @mohvmedmostvfv17
    @mohvmedmostvfv17 2 роки тому +1

    in last question : 4:52
    why " -log 2 (16) " ?
    Isn't it supposed to be " + log 2 (16) "
    because " 8*16 = log 2 (8) "+ log 2 (16)" "
    than it is " 5(7+6-3+4) = 70 " ... not " 5(7+6-3-4) = 30 "

    • @yeho_shua
      @yeho_shua Місяць тому +1

      i scrolled for a good 5 minutes just to find this unanswered question loool.
      i looked it up and it said 30 but i still dk why

    • @mohvmedmostvfv17
      @mohvmedmostvfv17 Місяць тому

      @yeho_shua never mind
      Now i skipped it and forgot
      So try and inshallah you'll solve it correctly

  • @raphaelhashbrown8449
    @raphaelhashbrown8449 3 роки тому +1

    Concise and clear

  • @louiseroussel1602
    @louiseroussel1602 3 роки тому +1

    Excellent teacher !

  • @nthabiijoel2176
    @nthabiijoel2176 6 місяців тому

    Really appreciate your help❤

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    @zlatinalexandrov102 3 місяці тому

    Love your videos man keep it up

  • @abugslife2461
    @abugslife2461 4 роки тому +1

    thank you so much!! you are my go-to for math help :)))

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    @RivaldoSkrywer Рік тому

    This guy is something else

  • @aexeah
    @aexeah 4 роки тому

    this video helps me a lot.. special thanks✨

  • @rajivbro
    @rajivbro 11 місяців тому

    great great video. The only example missing was about squire root

  • @gohankun118
    @gohankun118 10 місяців тому +1

    Does anyone know if he has a video on epsilon-delta proofs? Nothing came up by search but if it's mixed in with another topic

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    @TheIceDragon66 9 місяців тому

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    @kalepurohit8166 2 роки тому

    This was vey use ful to me

  • @tbet10
    @tbet10 7 років тому +48

    And I was just studying for a log quiz

    • @TheOrganicChemistryTutor
      @TheOrganicChemistryTutor  7 років тому +30

      I wish you well on it. Get an A

    • @TheSyariqul
      @TheSyariqul 6 років тому +1

      Me too! And it’s tomorrow!!

    • @walliem.3319
      @walliem.3319 4 роки тому

      how'd yall do-

    • @tbet10
      @tbet10 4 роки тому +5

      @@walliem.3319 I did well. I’m in college now. AND OMG I DIDNT KNOW HE COMMENTED ON MY COMMENT! Help me through college now plz tutor

    • @walliem.3319
      @walliem.3319 4 роки тому +1

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  • @Batcaveqq
    @Batcaveqq 3 роки тому

    At 4:50, why did you minus log8 there? I added those logs and got the same thing. Is it because you dsitributed the negative in front?

  • @maochetra007
    @maochetra007 4 роки тому

    Good teacher 👍😁😁

  • @ekoi1995
    @ekoi1995 9 місяців тому

    log as an operator:
    a^x = b
    logₐ both sides:
    logₐ(a^x) = logₐ(b)
    x logₐ(a) = logₐ(b)
    x=logₐ(b)

  • @tuckerlundquist8311
    @tuckerlundquist8311 Рік тому +3

    4x4x4= 64 or am I wrong? 2:56

    • @akimo.6995
      @akimo.6995 4 місяці тому +2

      it's like 3⁴ and it's equal to 81

    • @dkwhattouseasusername1012
      @dkwhattouseasusername1012 2 місяці тому +1

      What you calculated is 4³, 4*4*4, which equals to 64. Not 3⁴, 3*3*3*3, which equals to 81.

  • @Lilly10-x4w
    @Lilly10-x4w 3 роки тому

    Thanks from the heart

  • @aguilarexequielandrew4758
    @aguilarexequielandrew4758 6 років тому +11

    is properties of logarithms and laws of logarithms the same? btw thanks for this amazing video

    • @Forthelols
      @Forthelols 5 років тому +4

      Yes

    • @mathtutorph5718
      @mathtutorph5718 4 роки тому +1

      @@Forthelols Really? What the heck, they're two different topics in our book.

    • @nologi.c
      @nologi.c 2 роки тому

      yeah my lesson is labeled "laws of logarithms" and it gives the reverse operations which confuses me

  • @TIGER_ytee
    @TIGER_ytee 9 місяців тому

    Bro ur the best 💯

  • @bik8353
    @bik8353 5 років тому

    thank you! this is exactly what I wanted

  • @TheEJC
    @TheEJC 11 місяців тому

    Best explanation

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    @aakashkarajgikar3935 3 роки тому

    2:58 "7" again? Very amazing!

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    @henceforthhans Рік тому

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  • @Bellybob123
    @Bellybob123 7 років тому +4

    Is it possible if you could make a few videos going over solving for convergence or divergence of series through calculus (going over the nth term test, basic comparison test, limit comparison test, etc.)?

    • @sglick
      @sglick 6 років тому

      did you ever find a link to one of these videos? please let me know

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    @Seaclock24 26 днів тому +2

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    @seancortez7044 4 роки тому +1

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    @OscarGonzalez-to9yh 5 років тому

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    @madeleinebanal4464 2 місяці тому

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    @laibakhan8380 2 роки тому

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    @andreijoseph2625 4 роки тому

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    @isabelcarreon6950 3 роки тому

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    @Warrehound 6 років тому +6

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  • @boomboompowTV
    @boomboompowTV 4 роки тому +1

    on the last item, why is it -log2 16 instead of +log2 16?

    • @gibsonigano1847
      @gibsonigano1847 4 роки тому +3

      - (log 8 + log 16)
      Distribute the -
      -log 8 - log 16

    • @boomboompowTV
      @boomboompowTV 3 роки тому +1

      @@gibsonigano1847 thanks man

  • @riivie3043
    @riivie3043 6 місяців тому +2

    how come its log2 8-log2 16 instead of plus?

  • @NathanLindstrom-j8b
    @NathanLindstrom-j8b 3 місяці тому

    What do you do when you have a strange coeficeant in your log. Example: 100ln(y)-(1/100)ln(1-y/100)

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    @Bencchi Рік тому +1

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    @Aisyah-qf2pz 3 роки тому

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    @Jay-fy1vl 2 місяці тому

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  • @chiozo11
    @chiozo11 6 років тому +1

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  • @tutstorial8474
    @tutstorial8474 4 роки тому +1

    what if you have
    log (A + B)
    would it be equal to
    logA + logB = ??

    • @magranin7319
      @magranin7319 4 роки тому

      You can actually try it yourself on a calculator pick two numbers and divide the first expression by the second expression with the same two numbers of course and the number should be no. It won’t be equal to 1

  • @amer6522
    @amer6522 6 років тому

    Why are you so good in this shit?!!DAAAAMN YOU A LEGEND!!

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    @andrewlepping6394 3 роки тому

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