Left side: combine powers of fractions until you get 5 to the power of 7/8. On the right side, 125^x is the same as 5^3x. 3x = 7/8; x = 7/24. You can also do it by reducing fives until you get 5^(3.5 -12x) = 1, then 3.5-12x = 0, x = 3.5/12, which is the same result

@user-vb4yq1jt7e

6 ай бұрын

это решение проще и быстрее.хотя я по английски ни бум бум.но решение на поверхности.к тому же многократное возведение в квадрат не желательно,

@12carbon

5 ай бұрын

That's what I did!

@2sljmath

5 ай бұрын

👌🏻👌🏻

@dimochka327

4 ай бұрын

Я тоже степени приводил к ⅞. Так намного проще и быстрее

@prashantmorla7818

4 ай бұрын

7/8 how to reduce...?

Sou can simplify the left side as 5 raise to power 7/8 and the right side as 5 raise to power 3x and equate them to get the required answer.

@markmajkowski9545

6 ай бұрын

Hint. Solve by inspection. Or Log5 both sides.

@bertblankenstein3738

6 ай бұрын

And this would take about one minute to do. No need to rewrite so many times.

@nhannguyenduc772

6 ай бұрын

@@bertblankenstein3738He rewrited many time with the aims : to all kinds of the viewers who had watched this video. I think he is a good man when he did so.Tks!

Just square it 3 times. LHS becomes 5⁷. RHS becomes 125^8x = (5³)^8x = 5^24x. So x = 7/24. Just a few seconds in mind.

@alejandropulidorodriguez9723

6 ай бұрын

where did you get that 7 from?

@JEEaspirant-un5mp

6 ай бұрын

​@@alejandropulidorodriguez9723 square three times

@mariapiapiro3718

5 ай бұрын

D'accordo

@jimavagianos

5 ай бұрын

@@alejandropulidorodriguez9723 Square it 3 times. LHS becomes 5^4*5^2*5^1=5^(4+2+1)=5^7

@MathematicalGalaxy

3 ай бұрын

LHS=7/8 as the power of 5. It is not 7, just check your process again

5^7/8 =5^3X 3X=7/8, X=7/24

@CraigEngbrecht

6 ай бұрын

Could have been done much simpler like you said, so much wasted time... And this music....

@alkara21

5 ай бұрын

5 7/8'e nasıl ulaşıldı? Yöntem nedir?

@giovannilentini8064

5 ай бұрын

Vas introduciendo dentro de la raíz

@hiddenintheshadows1903

2 ай бұрын

​@@alkara21 square root of x can be written as x to the power 1/2

20 years ago as an engineering student and probably one of the best times of my life, I could just zip through this equations. Thanks for the memorys. NorCal

Finished school 58 years ago. It's fun to review watching though some commenters show shorter ways. Thanks you all.

For the impatient, set the playback speed to 2x.

@chrisengland5523

6 ай бұрын

And for the "normal" folk, use 3x.

Very well explained,had forgotten my maths after 50 yrs

Don’t spend the first thirty seconds rewriting the question.

@craigjohnston7143

7 ай бұрын

@@MathsExplorer24 It's not the method; it's the speed. I think you could present this clearly in 3 or 4 minutes instead of 10 simply by being more efficient.

@berkeleyrc

6 ай бұрын

Honestly it took me just a few seconds: sqrt(5*sqrt(5*sqrt(5))) = sqrt(5)*sqrt(sqrt(5))*sqrt(sqrt(sqrt(5))) = 5^(1/2)*5^(1/4)*5^(1/8) = x^(7/8)

@HaHaThatIsFunny

6 ай бұрын

@@berkeleyrc That's how I did it in my head very quickly as well. I do like to see how other people solve things though, shows how different brains work. As a former math teacher, I appreciate someone who shows all their steps as well

@alfredleung3647

6 ай бұрын

@@MathsExplorer24For the elementary schoolers.

@michaeldew7904

6 ай бұрын

@@MathsExplorer24it’s not. It’s already written down. That makes as much sense as writing the same thing 2 more times. Or 3, or 4. It’s not a step.

Excelente .Muito Obrigado . De Portugal

Simple explanation that I enjoyed reviewing my past knowledge from 35 yeras ago!

Bonjour, Je remplace toujours la notation" racine carrée" par "puissance 1/2". C'est toujours plus simple. Merci pour cette démonstration.

Very good presentation 👍

If you do the sqrt2 maths it is easier and faster, you can do it in your head then. You will have 5^7/8 = 125^x then power to 3 or sqrt3 you will get with power 3, 125^7/8 = 125^3x then 7/8 = 3x and x= 7/24

Out standing, thanks.

Nice presentation

Or just rewrite the left hand side in a few steps as a 5 exponential, then 5^(7/8) = 5^3x 3x=7/8 x = 7/24

@justiccoolman1816

6 ай бұрын

Would also say that is the faster solution. Actually he used that way for verifying his result.

it is interesting. I kept squaring to get rid of the square root. then the problem is transformed like 5^7=5^(24x). so x=7/24. thank you~~~

My, my, you did it the hard way.

Make me feel interesting in maths. Thanks.

Very beautiful.....

Excellent way of doing and steps. I am a non maths teacher but understood your steps easily. Thankyou and hope you would send more

simple and detailed. congratulations. good video ❤

@2sljmath

5 ай бұрын

👌🏻👌🏻

I returned to my schoolhood appr. 55 years ago. Thanks. 🍀

@SandraDevant

6 ай бұрын

How is a question like this applied to real life situation

@belomolnar2128

6 ай бұрын

@@SandraDevant …it means I love this maths min. 55 years.

@b213videoz

5 ай бұрын

​@@SandraDevant It depends: if your "real life situation" is being a cheap uneducated labour OR something more than that 😊

@2sljmath

5 ай бұрын

😁👌🏻

Very much enjoyed.

Gostei! Até parece que é falta do que fazer. É gosto pela arte.

Good question 😍

Good problem actually was fun thanks for taking time tough to remember steps lol when u r old like me 😅

تمرين ممتاز وشرح جيد والتححق من الحل ممتاز

Nice explanation

Nicely done!

Amazing🙏👏👏many thanks!

Very good

Nice calculation

1/write correctly seven instead 1 2/the task can also be easily calculated from the last root on the right to the largest root without square very quickly!Try!

Why not just use the fractional exponents and get to the answer in half of the steps and less math along the way?

@2sljmath

5 ай бұрын

👌🏻👌🏻

Very interesting

Thanks for this very good vidéo 👍

Sweet proof!😀

Good.

I managed to get some sleep. I deliberately lengthened the video to increase monetization. The problem is solved in the mind.

@2sljmath

5 ай бұрын

👍🏻

I went with the second method because that is more easier logical way to see it and faster if you are not prepared to do the first way. So I spent a lot of time doing it in my head without any paper and pen and I came to the right answer. Then I saw that your video continued. 😢😊

I did this in my head and it took about 20-30 seconds. 9 minutes, jeez

These problems seemed like a headache and nightmare during school days but now it is ok. Thanks to the patience which I have gathered over the years...

1/2 + 1/4 + 1/8 = 3х, done

Решается в уме за пару минут)

@elenaterskova6422

6 ай бұрын

Как?

@user-ce8jy5sf9e

5 ай бұрын

@@elenaterskova6422 представляешь корни как степени со скобками и 125 приводишь к степени с основанием 5. Дальше очевидно.

@user-kp1rd1dh4s

2 ай бұрын

@@elenaterskova6422 а ещё быстрее завести множитель под знак корня, слева будет корень шестой степени, а потом же и возводить в шестую степень левую и правую часть.

That was pretty ❤

Beautiful

So enjoyable, a very thorough and systematic work.

Brillant

Sweet

your X is like multiplication symbol. use small x to avoid confusion

Or log 5^{7/8) divided by log 125!

Задача для устного счета для получения минимальной положительной оценки.

Four parts to a square the center 25 would be the one in the center of the square can you have a 125 X found extending for an extra 25 in a square root |__|square ruot

Agonizingly slow

Super bro

Omg this is the longest possible solution.

வீர லெவல்

Это уравнение решается на раз, два за пару минут, примените свойство степени.

Masterfully done.

Square 5 equals y so y elevated by 7/4 equals y elevated by 6 elevated by x. 7/4lny equals 6x lny . So 7/4 equals 6x. X equals 7/24 equals 0.291667

@Freeflier1978

Ай бұрын

The exact answer is 7/24. Decimal number is called an approximate learn the difference.

Some Mathematicians love to make things complex. 7/8=3x tthen x=7/24. That's all no need more more texts

很好。

good music.

I thought for sure I aced algebra when I took my first test. The teacher failed me because I answered every problem with an "X" I thought "X" was the unknown. The answers were unknown to me.

Brilliant video, however think a longer form with voice audio explaining this would be little more helpful. Just watching you right this out meant nothing to me. But I would love a better explanation how this was solved

Tnx so much

This X was left in school and college now it is on KZread. X is still a Mistry 😂😂😂

How did I found on my head 1/4 at first lol 😂 I go with 125.25.5=5^24x

Here’s easier way After u know that 5=125^8x-2 and 125=5^3 So its 5=5^3(8x-2) 5^1=5^24x-6 Then 1=24x-6 So X = 7/24 🎉🎉

А почему нельзя было сразу 5^7/8=5^3х отсюда 3х=7/8 и х=7/24. По сути всего 2 шага. Это же короче.

Personalmente avrei seguito un metodo più semplice. Avrei trasformato le radici di sinistra raggruppando tutti i 5 e a destra avrei scomposto il 125 nei suoi numeri primi ottenendo √√√5^7=5^3x 5^(7/8)=5^3x 3x=7/8 X=7/24

@Maria_s_

6 ай бұрын

Haga un vídeo y nos lo explica paso a paso muy didácticamente. Gracias

With a scientific calculator this goes faster by taking ln of both sides.

Слишком подробно, очень подробно.

Lengthy process.

During verification, separately solve LHS and RHS, because when you put an = sign from the beginning, it states that they are equal, so there is no need for verification. Hope you understand what I'm trying to say.

Where there any of those square/ root operations that could have had a +/- answer? Like sqrt(25) can be -5 as well. Maybe with the operations involved it doesn’t matter. But could this have two correct answers?

@pnwtutoring

6 ай бұрын

5 is a positive number, so the square root of 5 has only one positive answer. In the case, for example x^2 = 4 ==> x = + 2 or x = - 2 ( two answers ) because we don't know exactly x is a positive or a negative number. We have to choose both + 2 and -2 .

@chrisengland5523

6 ай бұрын

@@pnwtutoring No. The square root of 5 can be either positive or negative. Either way, it an irrational number, but using approximate values, (-2.236) x (-2.236) = +4.999696.

@chrisengland5523

6 ай бұрын

@@arjanhulsebos No. Square root is a function that you apply to a number and it has 2 values, one positive and one negative. According to Wikipedia "Every positive number x has two square roots".

@justiccoolman1816

6 ай бұрын

​​@@chrisengland5523your problem isen't really a mathematical problem: Mathematician just defined that sqrt(5) ist just the positiv solution of 5=x^2. So formally the solution of 5=x^2 ist sqrt(5) and -sqrt(5), not just sqrt(5). If wiki says different then it is wrong. Btw. the reason why it is defined like that to keep sqrt(x) beeing a function (mathematic function, not same like an function you know from programming), which makes it easier to handle. So after the formal definition of sqrt there arent more solutions. But actually there is a related Problem happening while solving that equation: squaring the equation leads to possible inproper results, which makes the verification at the end necessary.

I see your vids and I wonder: “how many meters down is your paper?” Just kidding. Nice work!

It took 15 sec to solve it without pencil

❤

Hence try to do some calculation at the back of your head

5^(7÷8)=5^(3х) 7÷8=3х х=7÷24

Индийские математики - самые индийские в мире! Считай ещо, орифметик!

This answer only took10 seconds in my mind 😂

Если бы не громкая музыка, все отлично

Bro really spent 10 minutes for this💀💀💀💀

Si mi amor❤️

Bahut long time lga solve me. Esko to hum 1 minute me solve kar dete😂😂😂😂

24 7 don’t stop enjoying math!!!

@2sljmath

4 ай бұрын

😁

By verification method also we can solve more quickly.

A bit unnecessary, wasn’t it? I just squared the equation 3 times, getting 5^7 = (5^3x)^8 = 5^24x. Hence 24x = 7…

@cosimo7770

6 ай бұрын

Not 'a bit unnecessary' but totally unnecessary. These so-called YT maths teachers have no insight and no artistic feeling for mathematics. All they can teach is low-grade drudgery for unthinking students.

5^7/8=5^3x 7/8=3x X=7/24

Задача для устного счёта

X=7/24

1second solved

Lengthy procedure

оно же устное, если помнить свойства степени

This answer is 1 = ONE!!

Nu am răbdare să te urmăresc. Mă uit la alții. Ești încet