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Fun Math Problem 

Andy Math
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30 окт 2024

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Комментарии : 226   
@EAOO
@EAOO 6 месяцев назад
3:37 i think you meant to say you rounded not truncated :)
@AndyMath
@AndyMath 6 месяцев назад
Oh no! You are right! I messed that up...
@bebektoxic2136
@bebektoxic2136 6 месяцев назад
I see, that's why I'm a bit confused 😂
@EAOO
@EAOO 6 месяцев назад
@AndyMath all good, love the videos!
@insaneclips1184
@insaneclips1184 5 месяцев назад
Truncated means rounded off. Both are same dear
@EAOO
@EAOO 5 месяцев назад
@@insaneclips1184 no, truncated means you cut off additional digits (usually decimal). So 76.73 would truncate to 76 but round to 77.
@T100Tyrant-xh7ph
@T100Tyrant-xh7ph 5 месяцев назад
My mind after 0.00000001 seconds of looking at this equation : Log Log Log Log
@Aman_Gupta0
@Aman_Gupta0 5 месяцев назад
fr same
@abatall
@abatall 5 месяцев назад
idek what log is i'm doing alg 1 rn
@yotzexotadrogue
@yotzexotadrogue 5 месяцев назад
Fr
@progisloveprogislife4501
@progisloveprogislife4501 5 месяцев назад
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 5 месяцев назад
Exactly! Log from line 1
@ethastum
@ethastum 4 месяца назад
You could also solve this problem using logarithmic properties: 1. We take the log() of both sides, which allows us to put the exponent as a factor to the logarithm of the base. Giving us: "(x-1)log(40)=(2x+1)log(2)" 2. We multiply into the parenthesis on both sides, and isolate the terms with x in them. Giving us: "x log(40)-2x log(2)=log(2)+log(40)" 3. We isolate x by factoring, and dividing the resulting parenthesis to the right. Giving us: "x = (log(2)+log(40)) / (log(40)-2log(2)) 4. Due to the rule of logarithms used in (1), we can express the "2log(2)" as "log(2^2)" which equals "log(4)", whereafter we use the rule of sums and differences of logarithms. Giving us: "x=log(80)/log(10)" 5. Due to log-base10 of 10 being 1, this gives us the result as: "x=log(80)"
@Jack_Attack1234
@Jack_Attack1234 6 месяцев назад
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 6 месяцев назад
how exciting
@frankstrawnation
@frankstrawnation 6 месяцев назад
This looks like a fun comment.
@outerspacedog
@outerspacedog 6 месяцев назад
it’s pure hype
@mzoxololinda8408
@mzoxololinda8408 6 месяцев назад
And it looks important, so let's put a box around it 😅
@englishsong8399
@englishsong8399 6 месяцев назад
Or one can just use log
@iTube4U
@iTube4U 6 месяцев назад
everyone is gangsta untill log shows up
@faizaanfazal
@faizaanfazal 5 месяцев назад
True af
@HableGiday
@HableGiday 5 месяцев назад
Perfect comment😂😂
@hasandhrolia8353
@hasandhrolia8353 5 месяцев назад
Kids!!
@hellboysp7263
@hellboysp7263 4 месяца назад
bro lowkey
@russellthescout9639
@russellthescout9639 4 месяца назад
log is taught in 9th grade though. it's just BAP.
@canonogic
@canonogic 6 месяцев назад
Idk why, but this felt like pulling off a combo KO in YuGiOh
@Redawesomeoby
@Redawesomeoby 6 месяцев назад
Bro why ain't I ever thought bout learning math as learning combos in fighting games dawg
@canonogic
@canonogic 6 месяцев назад
@@Redawesomeoby Hadouken to find x 😂😂😂
@kae4881
@kae4881 5 месяцев назад
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 5 месяцев назад
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.
@mr.turtle375
@mr.turtle375 6 месяцев назад
Wonderful explanation.This man can teach us faster than a professional professor.
@frommarkham424
@frommarkham424 6 месяцев назад
I think he is a professional
@euloge996
@euloge996 6 месяцев назад
He is a teacher
@FylinB563
@FylinB563 5 месяцев назад
A professor is inherently a professional
@shivambharadwaj9580
@shivambharadwaj9580 5 месяцев назад
Definitely a middle school teacher ​@@euloge996
@kartikmaher5
@kartikmaher5 5 месяцев назад
India's secondary school students be like,"like, seriously‽."
@tanishthakur7
@tanishthakur7 5 месяцев назад
Really!!
@unknownfbk
@unknownfbk 5 месяцев назад
Yep, its kinda easy
@D402S
@D402S 5 месяцев назад
Mein timepass karne RU-vid mein aaya aur yaha aake yeh problem solve karne baith gya 😂
@evilgaming7860
@evilgaming7860 5 месяцев назад
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 5 месяцев назад
So true
@TheBiggerNoise
@TheBiggerNoise 6 месяцев назад
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.gowens7534 6 месяцев назад
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 6 месяцев назад
1+3log2 which is approx 1.9
@gregstunts347
@gregstunts347 6 месяцев назад
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.
@olivier.st-amand
@olivier.st-amand 6 месяцев назад
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!
@abeonthehill166
@abeonthehill166 5 месяцев назад
An excellent demonstration ! That was clear and easy to follow. Thanks for sharing !
@cheetomaggedon420
@cheetomaggedon420 4 месяца назад
This is the first time I watch your videos and honestly they're actually helping me understand math even better, I don't know, I try to resolve the problem a little faster than you just to see if I can do it, sometimes I get it wrong but it's fine, I keep trying, thank you! you're helping someone get better at math!
@HurricaneZ
@HurricaneZ 5 месяцев назад
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 👍
@sm_artx
@sm_artx Месяц назад
For the people trying to show off your logarithmic skills, Andy intended this problem to be understood by those who aren't really familiar with log. So, instead of using log identities from the get-go, he used log only when the equation was already simplified. You and I may be familiar with log, not everyone is.
@kharshithaashree7447
@kharshithaashree7447 5 месяцев назад
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 5 месяцев назад
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
@RealReen
@RealReen 6 месяцев назад
Kinda boring, but you can solve this almost instantly using log(a^b)=b*log(a)
@sauten2565
@sauten2565 5 месяцев назад
Yeah that’s what I was taught but I guess the way he does it can be understood better by most people
@RealReen
@RealReen 5 месяцев назад
@@sauten2565 true and it also demonstrates far more, useful rules.
@sauten2565
@sauten2565 5 месяцев назад
@@RealReen fax, how far have you gone in maths education, like A levels or further?
@RealReen
@RealReen 5 месяцев назад
@@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.
@Livvv_happy_3727
@Livvv_happy_3727 Месяц назад
Can you show the whole working
@Epyxoid
@Epyxoid 4 месяца назад
2:31 I think explaining that with the inverse function is more logical. Just like in _tan x = 2_ we take the inverse function of _tan_ on both sides, which is _tan^-1_ that gives us _tan^-1 (tan x) = tan^-1 (2)_ which simplifies to _x = tan^-1 (2)_ Here, the inverse function of _10^x_ is _log 10 (x)_ Taking that on both sides gives us _log 10 (10^x) = log 10 (80)_ which simplifies to _x = log 10 (80)_
@Dinglebeardedlady
@Dinglebeardedlady 6 месяцев назад
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.
@Shmizzad
@Shmizzad 2 месяца назад
Of course it’s because we have 10 fingers, not because we count in base 10. I see we’re skipping the intermediate steps now
@starboy001
@starboy001 2 месяца назад
I arrived just after studying logarithms. And now this time it is again equality more exciting as always.
@DaniSC_l1
@DaniSC_l1 12 дней назад
I feel like just log the 40 so we get 2^5.32 and then just do the rest is so much easier
@4.0.4
@4.0.4 6 месяцев назад
I should start writing down these equivalences.
@SRINIX4356
@SRINIX4356 2 месяца назад
Hi man! What an amazing video! But, the verification can be done like this without a calculator: 40^(x - 1) = 40^(log80 - 1) = 40^(log8 + log10 - 1) = 40^(log8 + 1 - 1) = 40^log8 2^(2x + 1) = 2^(2log80 + 1) = 2^(2(log8 + log10) + 1) = 2^(2(log8 + 1) + 1) = 2^(2log8 + 2 + 1) = 2^(2log8 + 3) = 2^2log8 * 2^3 = 4^log8 * 8 = 4^log8 * 10^log8 = (4*10)^log8 = 40^(log8) here, we can see that 40^(x - 1) gave us 40^log8 and 2^(2x + 1) also gave us 40^log8. so, verified.
@Sg190th
@Sg190th 6 месяцев назад
yeah, log can work. I just prefer natural log because it looks easier to format in my opinion.
@rathersane
@rathersane 6 месяцев назад
But when the base is already 10…
@Grizzly01-vr4pn
@Grizzly01-vr4pn 6 месяцев назад
How (and more importantly why) would you crowbar ln into this?
@Sg190th
@Sg190th 6 месяцев назад
@@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 6 месяцев назад
@@Grizzly01-vr4pn Crowbar? Huh???
@rathersane
@rathersane 6 месяцев назад
@@Sg190th No… It just seems like more work in this particular case.
@SaidVSMath
@SaidVSMath 6 месяцев назад
Hey Andy, unsure if you check the comments, but what software do you use to animate your videos? Thanks!
@frankstrawnation
@frankstrawnation 6 месяцев назад
He said that a very few videos ago.
@Magp1ee
@Magp1ee 14 дней назад
I got to the right anwser myself the most inefficient way possible in like a billion steps
@terakhanthis
@terakhanthis Месяц назад
So, just for the sake of it, 40 is equal to 2^5.321928. If I understand powers right, this would give: (2^5.321928)^x-1 = 2^(2x+1) 2^(5.321928x - 5.321928) = 2^(2x+1) 5.321928x - 5.321928 = 2x+1 3.321928x - 5.321928 = 1 3.321928x = 6.321928 x = 6.321928/3.321928 x = 1.90309
@diazlard
@diazlard 6 месяцев назад
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.
@papawoolliest423
@papawoolliest423 5 месяцев назад
“Log 10 means the same thing as log, and the reason for that is we have 10 fingers” Wh… what?
@joeyd9351
@joeyd9351 5 месяцев назад
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
@metaphoricalhuman
@metaphoricalhuman 5 месяцев назад
Great video, it randomly appeared in my recommendations and i'm having a test on this exact stuff this week
@Reaper-jr7sz
@Reaper-jr7sz 5 месяцев назад
I did this problem a whole different way and still got 1.903 as a answer
@TrollSilver.
@TrollSilver. 5 месяцев назад
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
@krewmermore3324
@krewmermore3324 6 месяцев назад
What a smart and simple way to solve it by rules of indices 😻
@anonymouscheesepie3768
@anonymouscheesepie3768 11 дней назад
40^x / 40 = 2*4^x 40^x = 80*4^x (40/4)^x = 80 10^x = 80 x = log(80)
@aviationkidd5380
@aviationkidd5380 4 месяца назад
if u try to compare the exponential powers it gives us the result as 2 which probably is a good approximation pls correct me if i'm wrong thanks :)
@jozeppelachetti7137
@jozeppelachetti7137 5 месяцев назад
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
@jonathantheyorkie
@jonathantheyorkie 5 месяцев назад
I'm used to the ones that share a common base
@adaaaa6642
@adaaaa6642 6 месяцев назад
I solved it in seconds just multiplying entire equation with log10 and got answer without calculator. Anyone with log knowledge can do it.
@Anurag_2.0
@Anurag_2.0 2 месяца назад
x=1.9 => (x-1)log40 = (2x+1)log2
@jackmoore2636
@jackmoore2636 5 месяцев назад
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.
@RobG1729
@RobG1729 6 месяцев назад
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.
@abeonthehill166
@abeonthehill166 5 месяцев назад
Fascinating ….!
@anayjoglekar5920
@anayjoglekar5920 8 дней назад
just take log in the first place on both side u will end up with 1 + Log(8)
@Mecha_Math
@Mecha_Math 5 месяцев назад
Very amazing 🎉🎉🎉🎉
@abhirupkundu2778
@abhirupkundu2778 14 дней назад
Bring Einstein level questions from now on
@tunneloflight
@tunneloflight 5 месяцев назад
if you apply significant digits - the answers are the same
@henrygoogle4949
@henrygoogle4949 6 месяцев назад
x to the a to the b. Whole thing squared.
@shakhawatparvez8705
@shakhawatparvez8705 5 месяцев назад
As an Asian parent I would say this should be easy for my 2 year old one
@ArnaldoMandel
@ArnaldoMandel 6 месяцев назад
Quite silly, could have applied log base 2 at the outset and just solved thelinear equation.
@sietsevanderhorst8144
@sietsevanderhorst8144 6 месяцев назад
''its because we have 10 fingers''
@user09832
@user09832 6 месяцев назад
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 6 месяцев назад
That's more what I was thinking lol, how they show us in school. xd
@kmktruthserum9328
@kmktruthserum9328 5 месяцев назад
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😅
@Eclectic-empire
@Eclectic-empire 5 месяцев назад
Indeed that is how is supposed to be done, 👍
@suhaibalkhaldi
@suhaibalkhaldi 4 месяца назад
i used the natural log from the first step
@ylogicmachine6812
@ylogicmachine6812 5 месяцев назад
Thank you, it is actually really funny !!!!!!!!!!!!
@reelkanha
@reelkanha 4 месяца назад
as a ninth grader, anything after 2:31 is witchcraft
@smallgamer7881
@smallgamer7881 5 месяцев назад
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
@Shankar-o5o
@Shankar-o5o 5 месяцев назад
much exiting
@gamingplus8625
@gamingplus8625 6 месяцев назад
@andymath what kind of training do you do for your deep voice?
@sstttz
@sstttz 3 дня назад
I prefer to use logs from the beginning lol
@FarzadFarhad-ur7xd
@FarzadFarhad-ur7xd 5 месяцев назад
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
@Imfuzzballadventures
@Imfuzzballadventures 5 дней назад
0:01 saw it and thought 1.90309 immediately 🤭
@user-lynKx
@user-lynKx 5 месяцев назад
wolfram here we come
@mashhudaparveen6475
@mashhudaparveen6475 4 месяца назад
It took a minute for me to slove. Aaah.....
@MarcoPolo-bn9qr
@MarcoPolo-bn9qr 4 месяца назад
Yay!!! I do it before of seeing the video and I got it right🎉🎉🎉
@Fuzierka
@Fuzierka 6 месяцев назад
in the USSR, children solved such examples in nurseries
@samir2zk135
@samir2zk135 6 месяцев назад
IMO childrens thinking capabilities way more powerful. Age won't matter, IG time does.
@hilariousroom3181
@hilariousroom3181 5 месяцев назад
Couldnt u do on comparing powers?
@ananasanimator6049
@ananasanimator6049 6 месяцев назад
Решил по формуле Пика за 0,000000002 секунды
@ViReel9436
@ViReel9436 5 месяцев назад
Shouldn't a and b from the LHS and RHS be same?
@konstevs
@konstevs 5 месяцев назад
How exciting.
@NaveenThiagarajan
@NaveenThiagarajan 5 месяцев назад
Approximately 2, right?
@rocky101016
@rocky101016 4 месяца назад
would it be incorrect to just take the root of x-1 to both sides, which means the 40↑x-1 becomes 40, and the 2↑2x-1 becomes 2↑x and solve from there?
@ethelegend
@ethelegend 26 дней назад
(x-1 root 2^(2x-1)) = (2^(2x-1))^(1/(x-1)) = 2^((2x-1)/(x-1)) = 2^((2x-2+1)/(x-1)) = 2^((2x-2)/(x-1)+1/(x-1)) = 2^(2+1/(x-1)) = 2^2 × 2^(1/(x-1)) = 4 × (x-1 root 2) You could move more stuff around to get the x-1 on the top, but it's way easier to just use logs
@Redditstoriesbyme
@Redditstoriesbyme 6 месяцев назад
You could have done a 2nd level unknown equation to get it without a calculator
@Emilia333g
@Emilia333g 5 месяцев назад
Doing this myself before watching the video was weird, it didn't feel right to get such a nice result.
@Tmwyl
@Tmwyl 4 месяца назад
Because we have 10 fingers! 😂
@dungtrantien1669
@dungtrantien1669 5 месяцев назад
How exciting🗣🗣🔥🔥🔥
@Latif1287
@Latif1287 5 месяцев назад
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
@CharashGanja
@CharashGanja 5 месяцев назад
Lol i sloved it in my head 😅😅
@barhas0019
@barhas0019 5 месяцев назад
could you also just do x-1(log 40)=2x+1(log 2) and solve that way?
@Abhi-lz6zo
@Abhi-lz6zo 5 месяцев назад
actually It's much easier that way
@Abhi-lz6zo
@Abhi-lz6zo 5 месяцев назад
Log 40 could be written ans log 4+log10.The only thing is we should know the value of log4 and log2.
@peace0173
@peace0173 5 месяцев назад
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.
@aram5642
@aram5642 6 месяцев назад
I thought it was because we have 10 toes
@lt.turtle3268
@lt.turtle3268 5 месяцев назад
(Ln80)/(Ln10) gang
@NurbekJummayev-p9t
@NurbekJummayev-p9t 6 месяцев назад
Thank you bro
@sp_ahmed8997
@sp_ahmed8997 5 месяцев назад
why didn't you just ln the both sides from the first ? it would've been much easier.
@dow_wob
@dow_wob 6 месяцев назад
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
@llll-lk2mm
@llll-lk2mm 6 месяцев назад
im so happy that i could figure this one out in the thumbnail itself heh yay
@Voiceistic-kl3ki
@Voiceistic-kl3ki 5 месяцев назад
I'm in 10th class from imdia and solved it very easily
@maincoasters
@maincoasters 5 месяцев назад
i’m in 6th from the usa and solved it really easily
@irvindalacourt7178
@irvindalacourt7178 6 месяцев назад
amazing thank you
@aaditnag7960
@aaditnag7960 6 месяцев назад
beautiful maths andy. truly beautiful 🥹🥹
@dijendrakalita7502
@dijendrakalita7502 5 месяцев назад
i got x = 1 + 3log2
@Abhi-lz6zo
@Abhi-lz6zo 5 месяцев назад
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
@allayhok
@allayhok 6 месяцев назад
Nice
@adityamodi4965
@adityamodi4965 5 месяцев назад
Why i always want to take log😂
@ethelegend
@ethelegend 26 дней назад
How i would solve: 40^(x-1)=2^(2x+1) log2(40^(x-1))=log2(2^(2x+1)) (x-1)log2(40)=2x+1 log2(40)x-log2(40)=2x+1 (log2(40)-2)x=(log2(40)+1) x=(log2(40)+1)/(log2(40)-2) =(3+log2(5)+1)/(3+log2(5)-2) =(log2(5)+4)/(log2(5)+1) ≈1.9
@nabil4389
@nabil4389 6 месяцев назад
Andy!!
@englishsong8399
@englishsong8399 6 месяцев назад
Is nobody going to say how easily it could have been solved by using log
@purnashreechatterjee5691
@purnashreechatterjee5691 5 месяцев назад
I got it right somehow 💀
@francoismusic_
@francoismusic_ 6 месяцев назад
Can I send you a problem?
@saucepano6155
@saucepano6155 26 дней назад
gazylion pingu 3 razy zabija random sekunde przed wzieciem pojazdu ideal ost sek nie zdazam czegos przez lagi 100 razy pierwszysm strzalem podrzucam czolg drugi pod przelatuje
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