Fun Math Problem

Did this problem late at night. I liked it. I hope you guys enjoy it too!

Пікірлер: 182

  • @EAOO
    @EAOOАй бұрын

    3:37 i think you meant to say you rounded not truncated :)

  • @AndyMath

    @AndyMath

    Ай бұрын

    Oh no! You are right! I messed that up...

  • @bebektoxic2136

    @bebektoxic2136

    Ай бұрын

    I see, that's why I'm a bit confused 😂

  • @EAOO

    @EAOO

    Ай бұрын

    @AndyMath all good, love the videos!

  • @insaneclips1184

    @insaneclips1184

    5 күн бұрын

    Truncated means rounded off. Both are same dear

  • @EAOO

    @EAOO

    4 күн бұрын

    @@insaneclips1184 no, truncated means you cut off additional digits (usually decimal). So 76.73 would truncate to 76 but round to 77.

  • @iTube4U
    @iTube4UАй бұрын

    everyone is gangsta untill log shows up

  • @faizaanfazal

    @faizaanfazal

    26 күн бұрын

    True af

  • @user-tz3mj6ye3t

    @user-tz3mj6ye3t

    5 күн бұрын

    Perfect comment😂😂

  • @hasandhrolia8353

    @hasandhrolia8353

    Күн бұрын

    Kids!!

  • @T100Tyrant-xh7ph
    @T100Tyrant-xh7ph26 күн бұрын

    My mind after 0.00000001 seconds of looking at this equation : Log Log Log Log

  • @Aman_Gupta0

    @Aman_Gupta0

    24 күн бұрын

    fr same

  • @abatall

    @abatall

    20 күн бұрын

    idek what log is i'm doing alg 1 rn

  • @yotzexotadrogue

    @yotzexotadrogue

    16 күн бұрын

    Fr

  • @progisloveprogislife4501

    @progisloveprogislife4501

    12 күн бұрын

    It's the opposite of exponenciation, your x in a logarithm is the exponent you need to give to the base (10 in this case) so that the result is equal to 80 (which is called the argument I think). Not that hard to grasp as a concept

  • @chaabomed

    @chaabomed

    9 күн бұрын

    Exactly! Log from line 1

  • @kartikmaher5
    @kartikmaher520 күн бұрын

    India's secondary school students be like,"like, seriously‽."

  • @tanishthakur7

    @tanishthakur7

    12 күн бұрын

    Really!!

  • @unknownfbk

    @unknownfbk

    9 күн бұрын

    Yep, its kinda easy

  • @Auror2k05

    @Auror2k05

    6 күн бұрын

    Mein timepass karne KZread mein aaya aur yaha aake yeh problem solve karne baith gya 😂

  • @evilgaming7860

    @evilgaming7860

    5 күн бұрын

    Even though it is easy for us it may not be the case for whole India. So we should not be full of ourselves.

  • @shashankyadav5703

    @shashankyadav5703

    3 күн бұрын

    So true

  • @canonogic
    @canonogicАй бұрын

    Idk why, but this felt like pulling off a combo KO in YuGiOh

  • @Redawesomeoby

    @Redawesomeoby

    Ай бұрын

    Bro why ain't I ever thought bout learning math as learning combos in fighting games dawg

  • @canonogic

    @canonogic

    Ай бұрын

    @@Redawesomeoby Hadouken to find x 😂😂😂

  • @Jack_Attack1234
    @Jack_Attack1234Ай бұрын

    Before even watching the video I know I'm gonna hear "Lets put a box around it" and "How exciting". Almost forgot the “Nice” every time 69 or 420 shows up. And you can’t forget the “this looks like a fun problem” when the video starts.

  • @ianyoon7336

    @ianyoon7336

    Ай бұрын

    how exciting

  • @frankstrawnation

    @frankstrawnation

    Ай бұрын

    This looks like a fun comment.

  • @outerspacedog

    @outerspacedog

    Ай бұрын

    it’s pure hype

  • @mzoxololinda8408

    @mzoxololinda8408

    Ай бұрын

    And it looks important, so let's put a box around it 😅

  • @englishsong8399

    @englishsong8399

    Ай бұрын

    Or one can just use log

  • @mr.turtle375
    @mr.turtle375Ай бұрын

    Wonderful explanation.This man can teach us faster than a professional professor.

  • @frommarkham424

    @frommarkham424

    Ай бұрын

    I think he is a professional

  • @euloge996

    @euloge996

    Ай бұрын

    He is a teacher

  • @FylinB563

    @FylinB563

    Ай бұрын

    A professor is inherently a professional

  • @shivambharadwaj9580

    @shivambharadwaj9580

    29 күн бұрын

    Definitely a middle school teacher ​@@euloge996

  • @olivier.st-amand
    @olivier.st-amandАй бұрын

    A video about a list of the usual "tricks" that can be used in such math problems (like the 30-60-90 triangle, the exponent substitutions you used here, etc...) would be amazing! Thanks!

  • @TheBiggerNoise
    @TheBiggerNoiseАй бұрын

    I’m having flashbacks to helping my daughter with Algebra 2 😮 I love how you manage to keep the presentation so brisk, yet also don’t have any mystery steps.

  • @craigk.gowens7534
    @craigk.gowens7534Ай бұрын

    My math teacher in high school wouldn't have allowed log 80 as an answer because it can be reduced like square root of 80 can be reduced. Because it is base 10, log 80 = log 10 + log 8 since log ab = log a + log b if the base is the same. Log 10 = 1, so log 80 = 1+ log 8.

  • @adwaitpandey2526

    @adwaitpandey2526

    Ай бұрын

    1+3log2 which is approx 1.9

  • @gregstunts347

    @gregstunts347

    Ай бұрын

    Depends, sometimes it’s the opposite. With a class that I was in, they would want me to write 1 + log 8 as log 80. But log 8 on its own would need to be simplified to 3log 2.

  • @kae4881
    @kae488128 күн бұрын

    i did it by applying log to both sides, and then solving. it makes it easier because after that its just manipulation. but you do need the value for log 2 and log 40.

  • @vaibhavgupta8681

    @vaibhavgupta8681

    17 күн бұрын

    Need to know just log 2. log 40 would be log 4 + log 10 . Everyone knows log 10 value and log 4 would be 2 × log 2.

  • @abeonthehill166
    @abeonthehill16627 күн бұрын

    An excellent demonstration ! That was clear and easy to follow. Thanks for sharing !

  • @metaphoricalhuman
    @metaphoricalhuman23 күн бұрын

    Great video, it randomly appeared in my recommendations and i'm having a test on this exact stuff this week

  • @HurricaneZ
    @HurricaneZ5 күн бұрын

    I tried solving it before the video, ended up with the same answer. I just did the log base 2 of 40 first to get the exponent bases to 2. got something around 5.32. set the exponents = to each other due to same bases and boom basic algebra to get to the same decimal answer. (with calculator ofc) nice video tho man 👍

  • @Dinglebeardedlady
    @DinglebeardedladyАй бұрын

    I usually have the answer in my head before he finishes the countdown. ...then I watch the video to see HIS process and what the right answer is.

  • @krewmermore3324
    @krewmermore3324Ай бұрын

    What a smart and simple way to solve it by rules of indices 😻

  • @RobG1729
    @RobG1729Ай бұрын

    It'd be cool for you to make videos about our ten fingers and base 10 number system versus others like base 12. I'm sure those too would be exciting.

  • @gamingplus8625
    @gamingplus8625Ай бұрын

    @andymath what kind of training do you do for your deep voice?

  • @4.0.4
    @4.0.4Ай бұрын

    I should start writing down these equivalences.

  • @SaidVSMath
    @SaidVSMathАй бұрын

    Hey Andy, unsure if you check the comments, but what software do you use to animate your videos? Thanks!

  • @frankstrawnation

    @frankstrawnation

    Ай бұрын

    He said that a very few videos ago.

  • @jonathantheyorkie
    @jonathantheyorkie20 күн бұрын

    I'm used to the ones that share a common base

  • @jozeppelachetti7137
    @jozeppelachetti713718 күн бұрын

    I checked this equation with gpt, the first answer for x=4. Then I asked to recheck and it was able to find the same answer but using log2

  • @Reaper-jr7sz
    @Reaper-jr7sz27 күн бұрын

    I did this problem a whole different way and still got 1.903 as a answer

  • @henrygoogle4949
    @henrygoogle4949Ай бұрын

    x to the a to the b. Whole thing squared.

  • @jackmoore2636
    @jackmoore263620 күн бұрын

    I got ln(80)/ln(10) but it came out as the exact same thing, beauty of maths, different kinda methods but same answer if you do it right.

  • @TrollSilver.
    @TrollSilver.6 күн бұрын

    You can also be silly and just find 2 to the power of what is 40 (comes out to 5.2319) and then finding x

  • @kharshithaashree7447
    @kharshithaashree744721 күн бұрын

    Easy method here Just take log on both sides and multiply it in side then you should have an equation with both sides having x of power one and substitute values of log40 ( log4 +log10) and log 2 Then u get 1.602x-1.602=0.601x+0.301 On bringing x oneside and constant on other side u get 1.001x=1.903 Which is approx answer x=1.903 If you need more precise then increase the decimal numbers That's it not even a 2min task

  • @aadityasrivastava16

    @aadityasrivastava16

    16 күн бұрын

    That's what i was thinking it took me about 1 min to solve this mentally i was like he must have asked a numerical value i solved log 8 ans 3log2 = 3X.30 and i got 1.90

  • @Mecha_Math
    @Mecha_Math2 күн бұрын

    Very amazing 🎉🎉🎉🎉

  • @abeonthehill166
    @abeonthehill16611 күн бұрын

    Fascinating ….!

  • @irvindalacourt7178
    @irvindalacourt7178Ай бұрын

    amazing thank you

  • @Sg190th
    @Sg190thАй бұрын

    yeah, log can work. I just prefer natural log because it looks easier to format in my opinion.

  • @rathersane

    @rathersane

    Ай бұрын

    But when the base is already 10…

  • @Grizzly01-vr4pn

    @Grizzly01-vr4pn

    Ай бұрын

    How (and more importantly why) would you crowbar ln into this?

  • @Sg190th

    @Sg190th

    Ай бұрын

    @@rathersane You can use logarithm regardless but yes, it's usually 10 as base. In this case, it works better. I'm just saying what I prefer in my opinion. Is that bad?

  • @Sg190th

    @Sg190th

    Ай бұрын

    @@Grizzly01-vr4pn Crowbar? Huh???

  • @rathersane

    @rathersane

    Ай бұрын

    @@Sg190th No… It just seems like more work in this particular case.

  • @user-xx9ii1is7r
    @user-xx9ii1is7r5 күн бұрын

    much exiting

  • @diazlard
    @diazlardАй бұрын

    This could be much simpiler. Use a logarithm to find what exponent makes 2 = 40. Expand that through x-1. Use algebra to find x.

  • @adaaaa6642
    @adaaaa6642Ай бұрын

    I solved it in seconds just multiplying entire equation with log10 and got answer without calculator. Anyone with log knowledge can do it.

  • @hilariousroom3181
    @hilariousroom318120 күн бұрын

    Couldnt u do on comparing powers?

  • @kmktruthserum9328
    @kmktruthserum93283 күн бұрын

    I knew that because I brute forced and put 1 as x and 2 as x and then just did 1.5 and kept raising it to 1.9.... They need to make it a bigger x so that I can't just input numbers quicker than it takes to actually use the correct formulas😅

  • @suhaibalkhaldi
    @suhaibalkhaldi8 сағат бұрын

    i used the natural log from the first step

  • @user-mi1rh7jy3n
    @user-mi1rh7jy3nАй бұрын

    Thank you bro

  • @Eclectic-empire
    @Eclectic-empire6 күн бұрын

    Indeed that is how is supposed to be done, 👍

  • @dungtrantien1669
    @dungtrantien166928 күн бұрын

    How exciting🗣🗣🔥🔥🔥

  • @llll-lk2mm
    @llll-lk2mmАй бұрын

    im so happy that i could figure this one out in the thumbnail itself heh yay

  • @konstevs
    @konstevs8 күн бұрын

    How exciting.

  • @ViReel9436
    @ViReel9436Күн бұрын

    Shouldn't a and b from the LHS and RHS be same?

  • @Emilia333g
    @Emilia333g23 күн бұрын

    Doing this myself before watching the video was weird, it didn't feel right to get such a nice result.

  • @Redditstoriesbyme
    @RedditstoriesbymeАй бұрын

    You could have done a 2nd level unknown equation to get it without a calculator

  • @allayhok
    @allayhokАй бұрын

    Nice

  • @mashhudaparveen6475
    @mashhudaparveen64752 сағат бұрын

    It took a minute for me to slove. Aaah.....

  • @ben10ih
    @ben10ih25 күн бұрын

    Without using log i some how by unitary method only i got two values of x which are 1 and 4 and this not possible and my method was also not wrong.

  • @CharashGanja
    @CharashGanja27 күн бұрын

    Lol i sloved it in my head 😅😅

  • @tunneloflight
    @tunneloflight5 күн бұрын

    if you apply significant digits - the answers are the same

  • @shakhawatparvez8705
    @shakhawatparvez870518 күн бұрын

    As an Asian parent I would say this should be easy for my 2 year old one

  • @ylogicmachine6812
    @ylogicmachine681225 күн бұрын

    Thank you, it is actually really funny !!!!!!!!!!!!

  • @ArnaldoMandel
    @ArnaldoMandelАй бұрын

    Quite silly, could have applied log base 2 at the outset and just solved thelinear equation.

  • @smallgamer7881
    @smallgamer78813 күн бұрын

    just introduce logs to both sides in the beginning 40^x-1=2^2x+1 log 40^x-1= log 2^2x+1 power law of logs, the power of the log can become the coefficient of the log (x-1) log 40 = (2x+1) log 2 x log40 - log40 = 2x log2 + log2 move the x terms to the left, and the log40 to the right x log40 - 2x log2 = log 2 + log 40 factorise x from the right x(log 40 -2log2) = log2 + log40 x= (log2 + log40) / (log40 -2log2) = 1.903089987

  • @Tmwyl
    @Tmwyl12 сағат бұрын

    Because we have 10 fingers! 😂

  • @ananasanimator6049
    @ananasanimator6049Ай бұрын

    Решил по формуле Пика за 0,000000002 секунды

  • @nabil4389
    @nabil4389Ай бұрын

    Andy!!

  • @sietsevanderhorst8144
    @sietsevanderhorst8144Ай бұрын

    ''its because we have 10 fingers''

  • @user-lynKx
    @user-lynKx10 күн бұрын

    wolfram here we come

  • @Latif1287
    @Latif128717 күн бұрын

    I solved it in another way and i found the same result as yours, i am more happy to send it to you if you want to see how

  • @dow_wob
    @dow_wobАй бұрын

    so simple you just know about log 5on2 =2.3 and done and solve it but you can do it simple you should change this log to log5 /log2 => 0.7/0.3 =2.3 (rounded ) and you dont wana calculator or somthing this question was standard for student

  • @RealReen
    @RealReenАй бұрын

    Kinda boring, but you can solve this almost instantly using log(a^b)=b*log(a)

  • @sauten2565

    @sauten2565

    25 күн бұрын

    Yeah that’s what I was taught but I guess the way he does it can be understood better by most people

  • @RealReen

    @RealReen

    25 күн бұрын

    @@sauten2565 true and it also demonstrates far more, useful rules.

  • @sauten2565

    @sauten2565

    25 күн бұрын

    @@RealReen fax, how far have you gone in maths education, like A levels or further?

  • @RealReen

    @RealReen

    25 күн бұрын

    @@sauten2565 I'm not sure how it applies to your levels, but danish A-level, and I will be having a lot of maths a uni soon.

  • @NaveenThiagarajan
    @NaveenThiagarajanАй бұрын

    Approximately 2, right?

  • @aram5642
    @aram5642Ай бұрын

    I thought it was because we have 10 toes

  • @adityamodi4965
    @adityamodi49656 күн бұрын

    Why i always want to take log😂

  • @francoismusic_
    @francoismusic_Ай бұрын

    Can I send you a problem?

  • @ilbwry
    @ilbwryАй бұрын

    pls do more about shapes and derivation i had a question asking what is the biggest [ pyramid ] i can fit inside a cylinder pls help me solving something like this i love ur vidsss💓💞😭

  • @vinit.khandelwal
    @vinit.khandelwalАй бұрын

    It's log more exciting

  • @user09832
    @user09832Ай бұрын

    Take log in the first step; (x-1)(2log 2 + log 10) = (2x+1) log 2 => 2x log 2 - 2log 2 + x -1 = 2x log 2 + log 2 => x - 1 = 3(log 2) => x - 1 = 3(0.30103) => x = 1.90309

  • @samir2zk135

    @samir2zk135

    Ай бұрын

    That's more what I was thinking lol, how they show us in school. xd

  • @purnashreechatterjee5691
    @purnashreechatterjee569126 күн бұрын

    I got it right somehow 💀

  • @barhas0019
    @barhas001929 күн бұрын

    could you also just do x-1(log 40)=2x+1(log 2) and solve that way?

  • @Abhi-lz6zo

    @Abhi-lz6zo

    5 күн бұрын

    actually It's much easier that way

  • @Abhi-lz6zo

    @Abhi-lz6zo

    5 күн бұрын

    Log 40 could be written ans log 4+log10.The only thing is we should know the value of log4 and log2.

  • @irmabecx4758
    @irmabecx4758Ай бұрын

    iIs the reason for that really that we have ten fingers??

  • @sp_ahmed8997
    @sp_ahmed899723 күн бұрын

    why didn't you just ln the both sides from the first ? it would've been much easier.

  • @Voiceistic-kl3ki
    @Voiceistic-kl3kiКүн бұрын

    I'm in 10th class from imdia and solved it very easily

  • @maincoasters

    @maincoasters

    Күн бұрын

    i’m in 6th from the usa and solved it really easily

  • @kirondey6117
    @kirondey611713 күн бұрын

    😂

  • @Fuzierka
    @FuzierkaАй бұрын

    in the USSR, children solved such examples in nurseries

  • @samir2zk135

    @samir2zk135

    Ай бұрын

    IMO childrens thinking capabilities way more powerful. Age won't matter, IG time does.

  • @allnickla
    @allnicklaАй бұрын

    notegud

  • @englishsong8399
    @englishsong8399Ай бұрын

    Is nobody going to say how easily it could have been solved by using log

  • @mustfar
    @mustfar6 күн бұрын

    I got 1.8 😢

  • @papawoolliest4232
    @papawoolliest42326 күн бұрын

    “Log 10 means the same thing as log, and the reason for that is we have 10 fingers” Wh… what?

  • @joeyd9351

    @joeyd9351

    6 күн бұрын

    Everything is base 10 unless otherwise stated. I'm not sure if our amt of fingers is the reason for that, but maybe it is

  • @dijendrakalita7502
    @dijendrakalita7502Ай бұрын

    i got x = 1 + 3log2

  • @Abhi-lz6zo

    @Abhi-lz6zo

    5 күн бұрын

    Log 2 equals 0.30 and 3 times log2 is 0.90 adding one to it will result in 1.90....the answer is same

  • @danteeightsix9069
    @danteeightsix9069Ай бұрын

    Can you give me an example of how this is useful outside of math?

  • @satyadas4751

    @satyadas4751

    Ай бұрын

    problem solving is a very important transferable skill. Being good at solving any math problem means your likely a good problem solver in any setting. Yes, you won't need to solve this specific equation or anything like this in a practical setting, but it trains your brain to think outside the box

  • @frankstrawnation

    @frankstrawnation

    Ай бұрын

    ​@@satyadas4751Your comment looks important, let's put a box around it.

  • @stephenbeck7222

    @stephenbeck7222

    Ай бұрын

    It’s an exponential function. You can google the purpose and application of those. This is a problem solving channel, not an application and vague question answering channel.

  • @jan_Masilijun

    @jan_Masilijun

    Ай бұрын

    it's exciting

  • @y00t00b3r

    @y00t00b3r

    Ай бұрын

    that's like asking how is breathing useful outside of respiration.

  • @Eric-cz1er
    @Eric-cz1er24 күн бұрын

    From 1st sec, i striaght knows that just using ln() then find the x. Just that simple. No need to be simplify🤔 why need sinplify as we can just using ln() loll

  • @chaos1809
    @chaos1809Ай бұрын

    that too easy with 16 years old vietnamese people =))

  • @karlkarlson3502
    @karlkarlson3502Ай бұрын

    *IMAGINE HOW MUCH NERD GIRL POON THIS GUY GETS*

  • @aaditnag7960
    @aaditnag7960Ай бұрын

    beautiful maths andy. truly beautiful 🥹🥹

  • @CleanYourSkullDaily
    @CleanYourSkullDaily25 күн бұрын

    … no clue how I got x = 1

  • @martinb.3997
    @martinb.3997Ай бұрын

    How tf did I get ln40/2ln2

  • @martinb.3997

    @martinb.3997

    Ай бұрын

    Now I got ln40/ln2 how tf am I gonna get through university man

  • @martinb.3997

    @martinb.3997

    Ай бұрын

    Well now I got the answer but in negative, I guess I'll leave the logarithmic method for a while now

  • @nonsoottih7405
    @nonsoottih7405Күн бұрын

    Anyone else found this hella easy?

  • @chitreshbhati9882
    @chitreshbhati9882Ай бұрын

    why don't you apply LOGARITHM on both sides

  • @frustationoverloaded5976
    @frustationoverloaded597612 күн бұрын

    by trial and error i found 1 then 2 then 1.9. and 1.9 is way way too close. I found in 3rd iteration via calculator. I will take that as ok becuz in real life that would negligible difference, mostly covered by buffer and in real life u won't be fucking sitting there finding value of log 69 or something. Maths doesn't has real life applications beyond class 10 or 12 . Edit: the answer is 1.90309 lol That's 0.16 % difference.

  • @Chewy427
    @Chewy427Ай бұрын

    i knew the answer would be in terms of log, so kinda disappointing

  • @FarzadFarhad-ur7xd
    @FarzadFarhad-ur7xd11 күн бұрын

    There was a really easier way, you could write as (2^ 5.32192809490)^x-1=2^2x+1 ,since both bases are the same we can write down as 5.3219280949(x-1)=2x+1 which is then equal to 5.3219280949x-2x= 5.3219280949+1 then x= 6.3219280949/3.3219280949

  • @lt.turtle3268
    @lt.turtle32684 күн бұрын

    (Ln80)/(Ln10) gang

  • @qazsedcftgbhujmkolp4401
    @qazsedcftgbhujmkolp4401Ай бұрын

    Did he do this one right?

  • @saulclips2270
    @saulclips2270Ай бұрын

    Now without the calculator!

  • @editor_R3

    @editor_R3

    Ай бұрын

    If someone knows how log works it will be possible

  • @richardl6751

    @richardl6751

    Ай бұрын

    @@editor_R3 Find log table.

  • @ChaosPod

    @ChaosPod

    Ай бұрын

    Unless you have old fashioned log tables and know how to use them it's unlikely.

  • @dow_wob

    @dow_wob

    Ай бұрын

    you can solve it without calculator see my comment

  • @dow_wob

    @dow_wob

    Ай бұрын

    you should just know about simple log

  • @elbayo421
    @elbayo421Ай бұрын

    No base drop = thumbs down

  • @praveensrivastava.5253
    @praveensrivastava.525312 күн бұрын

    Who solved this problem without using pen like me 🗿🗿😎

  • @aryawijayaa95

    @aryawijayaa95

    8 күн бұрын

    Yes i solved it,without seeing it😎 No u are lying i didn't believe

  • @praveensrivastava.5253

    @praveensrivastava.5253

    8 күн бұрын

    No bro, I'm studying in class 12

  • @coolxplayer12
    @coolxplayer12Ай бұрын

    E Z 😅

  • @frostgamingyt7326
    @frostgamingyt7326Ай бұрын

    If we are allowed to use the calculator, then we can simply type in the equation on a scientific calculator and get the answer

  • @iamsuperior.45

    @iamsuperior.45

    Ай бұрын

    That's not the point lmao

  • @frankstrawnation

    @frankstrawnation

    Ай бұрын

    But that wouldn't be exciting.

  • @duccline

    @duccline

    Ай бұрын

    that's just an approximation.... the point is to find the exact value, not a decimal approximation

  • @frostgamingyt7326

    @frostgamingyt7326

    Ай бұрын

    @@duccline I found the value that he found lol

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