What's the story with log(1 + 2 + 3)?

  • Published on Jun 14, 2019
  • This is my deep dive into the log(1 + 2 + 3) = log(1) + log(2) + log(3) log troll meme. I'm not going to link to any of the online discussions incase I accidentally encourage brigading. If you want to join in constructively, you can google them.
    Huge thanks to Jane Street for becoming my channel's principle sponsor. If you're curious, this is what they do:
    Ask them for a job here:
    We make Think Maths teaching resources to go with Stand-up Maths videos. For this one we have a worksheet of questions you can give your students before they watch the video. Plus I provide my excel file for the plot of the max values.
    - I mis-spoke and said "two" instead of "four" and "one" instead of "zero" but tried to fix both with titles in the edit. Sorry I did not have time to re-film it!
    - Yes, my camera autofocus is annoying. I swear it has broken somehow; I thought I'd set it up right this time. I think Jane Street might have to get me a new camera.
    - Let me know if you spot anything else!

    Thanks to my Patreon supporters who help make these videos possible. Here is a random subset:
    Michael Lehenbauer
    Richard Dickins
    Barry Salter
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    James Williams
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    Support my channel and I can make more maths videos:
    Music by Howard Carter
    Filming and editing by Matt Parker
    Design by Simon Wright
    MATT PARKER: Stand-up Mathematician
    Website: standupmaths.com/
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    Nerdy maths toys: mathsgear.co.uk/
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Comments • 710

  • Wolfram Stahl
    Wolfram Stahl 4 months ago +1822

    Jane Street sponsor Matt Parker because "they just like maths and they use maths to solve complex problems in the financial world."
    Matt: "half of two is two".

  • real gamer
    real gamer 7 days ago

    matt: half of two is two
    matt: the identity of addition is one

  • Michael Darrow
    Michael Darrow 10 days ago

    He meant half of 4 is 2.

  • Peter ElGhazal
    Peter ElGhazal 15 days ago

    Can’t you just use the common factorial

  • Michael Darrow
    Michael Darrow 15 days ago

    2 2
    1 2 3
    1 1 2 4
    1 1 1 2 5
    1 1 1 1 2 6
    1 1 1 1 1 2 7
    1 1 1 1 1 1 2 8

  • Michael Darrow
    Michael Darrow 15 days ago

    1 1 1 1 2 6

  • Hasko Heinecke
    Hasko Heinecke 26 days ago

    To calculate 13 times 17, add the two ones, which is 2. 3 times 7 is 21. Concatenate the 2 and 21 and you get 221. Voilá.

  • Dan
    Dan Month ago

    This was certainly not my favorite video of yours.
    Sure, the maths is interesting enough, and reasonably well explained (except for the obvious errors which you've corrected), but I don't much care for this whole meme culture. Memes are among the lowest forms of comedy.

  • Chris Doherty
    Chris Doherty Month ago

    Bob Loglaw

  • Laurelindo
    Laurelindo Month ago

    I love the way Matt talks at 6:50-6:55. xD
    _"If you want to, YOU can ADD as many log(1) as you want! =D"._

  • Leo179
    Leo179 2 months ago

    "We've learned about logs, we've learned about maths memes."

    TMY LLCK 2 months ago


  • Aidenne Campbell
    Aidenne Campbell 2 months ago

    Capital pi!!!?😲

  • John Weber
    John Weber 2 months ago

    The intro though

  • Harsh Ojha
    Harsh Ojha 2 months ago

    History is repeating itself!!!???
    Amazon again sold lenses very cheaply. Go to the link below:

  • Ratul Alam
    Ratul Alam 3 months ago +1

    *Please add subtitle*

  • England is my city
    England is my city 3 months ago

    1:50 if you multiply the factors of 28 you get 28^2

  • Badhbhchadh
    Badhbhchadh 3 months ago

    6:46 Yep, 0! = 1.

  • TheRealDavis660
    TheRealDavis660 3 months ago

    Well, log(4+3+1+1+1+1+1)
    You can do loads of whole number solutions if you don't mind filling it with 1s
    Edit: Never mind, you addressed this in the video.

  • ViliamF
    ViliamF 3 months ago

    what's the name of the song in outros?

    • Laurelindo
      Laurelindo 3 months ago

      I'm not sure if it has a real name, but you can listen to it all you want if you search for the video "STANDUPMATHS FULL THEME SONG - Howard Carter
      " here on TheXvid.

  • Nobodyimportant
    Nobodyimportant 3 months ago

    This guy is a G, smart and social

  • Baskar M
    Baskar M 3 months ago

    Name of the youtube channel is standupmath.....
    But he is always sit.....🤔

  • Kierio04
    Kierio04 3 months ago

    The formula I made for any two numbers is n*(n+1/n)=n+(n+1/n). It’s a generalised equation that includes 2+2=2*2 and 101+1.01=101*1.01. Like or reply to this comment if you think this formula is better than Matt’s explanation :p

  • lukey666lukey
    lukey666lukey 3 months ago

    I have learnt that Log Trolls are a thing, everyday is a school day

  • amigalemming
    amigalemming 3 months ago

    9:30 But Jane Street is specialized on functional programming (OCaml), not Python (as far as I know).

  • William Taylor
    William Taylor 3 months ago

    I always check 3 4 5, its got to be 4 5 6 7, the problem is you need an equality because it creates a unit system of equality, 5 billion, basic constants.

  • Dinamy [Kw4]
    Dinamy [Kw4] 3 months ago

    Congrats, you made a very outdated meme

  • Seda Nelle
    Seda Nelle 3 months ago

    This week on standupmaths: Does Matt Parker Actually Know Arithmetic?

  • Allan Boone
    Allan Boone 3 months ago

    log(a+b+c)=log(a)+log(b)+log(c) if and only if a+b+c=a*b*c and a,b,c>0.

  • Mik Scheper
    Mik Scheper 3 months ago

    Great vid, but please don't ever, ever use that horn sound again.

  • Seth Don
    Seth Don 3 months ago

    Matt, look out for flammable maths! He is a nuclear bomb in the math community. Beware!

  • mrkv4k
    mrkv4k 3 months ago

    You can use multiple ones. Like 1 + 1 + 2 + 4 = 2*4

  • Wafik Lotfallah
    Wafik Lotfallah 3 months ago

    xy = x + y implies y = x/(x - 1).
    Thus, x and y are positive integers iff x = y = 2.

  • Mart R
    Mart R 3 months ago

    The first thing I thought when seeing this "log troll" thing (in this video, I might add) was similar the "hang on bit" - given log(1)=0, any number should be able to be used. Maybe not as impressive if there's repetition, but still possible.

  • hey wrandom
    hey wrandom 3 months ago

    Here is a proof if one tolerates only one 1.

  • Parker Lee
    Parker Lee 3 months ago

    Hey, Matt, theres a problem I've been struggling with and I wondered if you had any insight. I've been trying to find a function f(x) such that the derivative of f at a (for all a in the domain of f) Is equal to the area under the curve f(x) from 0 to a. I feel as though there is more than one solution. If you could help me tackle this, it would be much appreciated.

  • Soft-boiled
    Soft-boiled 3 months ago

    6:48 0 is not equal to ZERO!, which is equal to 1

  • BobC
    BobC 3 months ago

    So, it seems there is no limit Matt will ever reach where he will deem a re-shoot necessary... Bring on the amusing text overlays!

  • Diego Marra
    Diego Marra 3 months ago

    The faces in the thumbnail and in the first 3 seconds are priceless.

    Meaning I wouldn't really pay to see them.

  • RUSapache
    RUSapache 3 months ago

    3 x 1.5 = 3 + 1.5

  • Narayan Bhat
    Narayan Bhat 3 months ago

    i can sense the black curtain over there

  • Logan True
    Logan True 3 months ago

    Everytime I hear Log Troll, I think of D&D trolls armed with tree logs as bludgeons.

  • Robert Telarket
    Robert Telarket 3 months ago

    Who are you? Are you at a university from Britain or down under? Your name please.

  • Taiken64
    Taiken64 3 months ago

    Is there a way to rationalize "add ones until the sum equals the product of the original two numbers" without being explicit about it?

  • hexa
    hexa 3 months ago

    Thumbs down for making this 10 minutes.

  • hexa
    hexa 3 months ago

    All you had to say is that log(1)=0

  • Zyxok Unum
    Zyxok Unum 3 months ago


  • Alex King
    Alex King 3 months ago +1

    Can you do another Rubik’s cube video?

  • Alex King
    Alex King 3 months ago +1

    For the one person who sees this I just want to tell you

    That God loves you ❤️❤️❤️❤️❤️

  • movax20h
    movax20h 3 months ago

    Would prefect number works with a minor tweaks of putting some rational factor in front of the one log?

  • Willem van de Beek
    Willem van de Beek 3 months ago +1

    Oof, lots of trolls in the comments.
    Thank you for showing that capital pi is the mass product. I knew capital sigma was the mass sum, but I was completely unaware of the mass product.
    I learned something new from your video, so thank you for this! :)

  • Cameron Spalding
    Cameron Spalding 3 months ago

    @3:36 thought of that before it came up

  • Nexus Clarum
    Nexus Clarum 3 months ago

    so is 6 maximum-over-perfect? (。◕‿◕。)

  • qrpnxz
    qrpnxz 3 months ago

    Even though this shouldn't work by all known laws of aviation, the log still flies.

  • Harrison Haines
    Harrison Haines 3 months ago

    Doesn't -1 -2 and -3 work for this as well.
    Log ( -1 + -2 + -3) = log (-6)

    where m = ℤ
    Log (-1) = (2m + 1)*i*pi
    Log (-2) = (2m + 1)*i*pi + log(2)
    Log (-3) = (2m + 1)*i*pi + log (3)
    Log (-6) = (2m + 1)*i*pi + log(6)
    we know log (2) + log(3) = log(6), and for an infinite set of ms (2m+1)*i*pi*3 = (2m + 1)*i*pi
    and so for an infinite set of m's log (-1 + -2 + -3) = log (-6).
    A log troll and an i troll all in one!

  • Everett Kelly
    Everett Kelly 3 months ago

    There is a pattern to these sum- product sets! Add a "1" to the set and add 1 to to last number.
    2 , 2
    1 , 2 , 3
    1 , 1 , 2 , 4
    1 , 1 , 1 , 2 , 5

  • Brian Scanlon
    Brian Scanlon 3 months ago

    Half Life 3 confirmed...

  • sur-taka
    sur-taka 3 months ago


  • Derek Donner
    Derek Donner 3 months ago

    1 + 2 + 3 = 6 = 2 * 3

  • Felix Stenger
    Felix Stenger 3 months ago

    whats the sub reddit he used the screenshot from?