Logarithms: with and without a calculator

How to figure out logarithms to any base, whether you have a calculator or not.
David's science and music channel: / drdaviddarling
Juan's mathematics channel (Spanish): / juanmemol

Пікірлер: 42

  • @serifini2469
    @serifini24693 жыл бұрын

    Thank you. Now, how would you calculate the natural log of 3 without a calculator? :)

  • @nadiryurdaay7839

    @nadiryurdaay7839

    3 жыл бұрын

    Actually that was why I came here

  • @kennw3244

    @kennw3244

    2 жыл бұрын

    @@nadiryurdaay7839 same

  • @oluwabunmi6854

    @oluwabunmi6854

    Жыл бұрын

    Same, did later get it.

  • @NaseerZanki

    @NaseerZanki

    Жыл бұрын

    same, the content creator is just do a click bait

  • @MinoF-zp3ob

    @MinoF-zp3ob

    Жыл бұрын

    same ;)

  • @guihermeborracha7412
    @guihermeborracha74122 жыл бұрын

    I want to know how you would do log 5 without a calculator and without knowing the value of any other logarithms. No one ever explains this!!! I can't find it anywhere!!!

  • @MinoF-zp3ob

    @MinoF-zp3ob

    Жыл бұрын

    same. Even if I ask this to AI, AI just invents random stuff like "Use magic" or "Count your fingers".

  • @tacobabyman1215

    @tacobabyman1215

    6 ай бұрын

    found an answer if ur still interered bro

  • @FFGaming-nf2qm

    @FFGaming-nf2qm

    5 ай бұрын

    right

  • @robertocortesi4236
    @robertocortesi423617 күн бұрын

    Thank you ! you took a bug out of my mind since at school they explained logarithms but it wasn't clear where the calculation of the mantissa came from!! it seemed like a secret, you took the values ​​from the log tables and that was it!

  • @robertocortesi4236
    @robertocortesi423617 күн бұрын

    Grazie ! mi avete tolto un tarlo dalla mente da quando a scuola spiegavano i logaritmi ma non si capiva dove veniva fuori il calcolo della mantissa !! sembrava un segreto , si prendevano i valori dalle tavole log e basta !

  • @emmagao8642
    @emmagao86422 жыл бұрын

    Thanks for such for such a clear explanation!

  • @guruduttnayak4998
    @guruduttnayak49984 жыл бұрын

    I hope this knowledge remains with me in the future.

  • @itsmeatrin
    @itsmeatrin2 жыл бұрын

    i was hopping to come here and learn thing like log of 13.5 base 2 or sth less obvious lmaooo. isnt there a similar method to long division for square roots or ... to find the log of sth in base 2?

  • @poorman-trending
    @poorman-trending Жыл бұрын

    Curious why a comma is used instead of a decimal point? Seems like it might be confusing if you are writing a decimal number or separating a set of numbers with commas.

  • @user-ir4tu7fb3u

    @user-ir4tu7fb3u

    9 ай бұрын

    Commas are sometimes used like a decimal point in Europe

  • @daniellaperez3226
    @daniellaperez32262 жыл бұрын

    I need a teacher like him.

  • @rinas3499
    @rinas34993 жыл бұрын

    great channel. Thanks!

  • @vishnudeviacharya6315
    @vishnudeviacharya63153 жыл бұрын

    HI sir, thanks for discussing this conceptual part of the log function... I have a qn at 5:28 Can we also write loga(b) = log(b) / log(a) Instead of loga(b) = ln(b) / ln(a)? Yuvraj from India.

  • @discovermaths

    @discovermaths

    3 жыл бұрын

    Yes

  • @streakspider2435

    @streakspider2435

    2 жыл бұрын

    an indian guy watching an english guy explain maths... lol usually its reversed

  • @MinoF-zp3ob

    @MinoF-zp3ob

    Жыл бұрын

    @@streakspider2435 yeah, and I usually don't understand Indian English.

  • @omegapolar1355
    @omegapolar1355 Жыл бұрын

    Fantastic video

  • @Olynn10
    @Olynn102 жыл бұрын

    Thank you

  • @dydx_mathematics2
    @dydx_mathematics211 ай бұрын

    4:47 can i just write the exact value ln(8)/ln(3)?

  • @sonukmrsah
    @sonukmrsah4 жыл бұрын

    You are doing a great job sir !!!

  • @discovermaths

    @discovermaths

    4 жыл бұрын

    Thank you, Sonu!

  • @kevinkasp
    @kevinkasp10 ай бұрын

    Hmm. Great teacher. But the big mystery question for me was how were the values in the log tables calculated in the first place? Or, alternatively, how does my calculator calculate them? You had me excited most of the way through the video, because I’ve been wondering this since high school (literally decades). It seemed like a dodge to me back then. “Boys and girls, the way you figure this logarithm stuff out is to actually not figure it out - you look up values in a table or press buttons on a calculator. That was the first time in my life a maths teacher left me hanging, intellectually. Anyway, although this video cleared up some algebraic techniques for me, ultimately the solution shown to figure out the value of a logarithm still ends up being, “look it up in a table, or press a button on a calculator.” Bummer.

  • @everydaycommentator6036

    @everydaycommentator6036

    9 ай бұрын

    I didn't watch the video. But from the comments, it seems the video doesn't tell how to calculate natural log without calculator. My guess is to use maclaurin expansion to calculate the log of the number's inverse and multiply by -1. For example, ln2 = -{ln(1/2)} = -ln{1-(1/2)}which can be expanded using maclaurin series.

  • @MinoF-zp3ob
    @MinoF-zp3ob Жыл бұрын

    But then, how the values of log tables were calculated in the first place?

  • @dearshomy
    @dearshomy2 жыл бұрын

    please how do you calculate logs such that you can derive answers even non integer answer like log to base 10 of 7 ?

  • @adharsh1089
    @adharsh10893 жыл бұрын

    👍

  • @navath9112
    @navath9112Күн бұрын

    Sorry teacher, without using calculator how does ln3= 1.09861?

  • @iron4us
    @iron4us2 жыл бұрын

    Sombodybelses Old man: they say: enlighte but not blid: mybfault... I forgot the shades.

  • @iron4us

    @iron4us

    2 жыл бұрын

    This is not a troll, repeat, this is not a troll.

  • @iron4us

    @iron4us

    2 жыл бұрын

    Im sorry, i can not keep the comments to my self enough sayd.

  • @danpal6737
    @danpal67373 жыл бұрын

    arghhh another dislike, another anti social of numbers.

  • @danpal6737
    @danpal67373 жыл бұрын

    arghhh another dislike, another anti social of numbers.