4 to the (3x - 6) = 64, you can solve with BASIC MATH!

[@devonwilson5776]

Greetings. The answer for X that satisfies the expression for both sides to be equal is 3. To determine the value of X, we express 64 in a form containing base 4 raised to the required exponent to get 64. That is, 4^N=64. What is the value of N? N is 3. Therefore, 64 =4^3. Moving forward, the left hand side and right hand side of the expression have he same base. Accordingly, we can equate the exponents to get 3X-6=3, and 3X=3+6 for 3X=9, and X=3.

[@dmp04]

That was how I did it.

[@richardhoner7842]

I think it would be far more interesting if the problems you post, and show how to solve, had some actual use.

[@aryusure1943]

My basic math is good. My basic algebra though, a work in progress. ;) But I used some algebra to find x as 3x-6 = 3 and it was easy. And yes, I applied the rule. What you do on one side... I'm sold on this one now. :)

[@DietricWilliams]

Great video for people who aren't as strong at math. There's only one exponent that could result 4×?×?=64, that being 3. The only whole number you can subtract from 6 to get 3 is 9. So 3×?=9. ? Would havet to = 3

[@Markoliver2]

It's sad that these guys that comment who are obviously good at maths cannot reason that you are attempting to teach folk who are not so good or who had a poor teacher when they were at school how tou use different methods. You are not condescending but rather patient and allows anyone who wishes to learn to follow step by step to understand the solution. My only very slight criticism, if I got it right, was your off the hoof example where you substituted 5 for (3x-6)log 4 = 18 as the log of 64. I know you were only using this as an example of logs but students might think (3x-6) = 18/3 ? Having said that I appreciate what you were saying in the example and I applaud your Intentions to smarten up all us thick folk in the use of maths. I apologise in advance if my sole criticism was misunderstood by myself.

[@Hi-rw8vr]

I understand what you are thinking, and you are right. Some people aren’t as strong at math as others. However, idk if it needs a 22 minute explanation.

[@harrymatabal8448]

Mr Mark don't blame you teachers. They did a better job than these videos and you could ask questions when you did not understand somethings. How are these videos improving you in your daily line of work.

[@pattyoconnell1950s]

I first knew 64 was 4x4x4 That all I figured. And looked at comments. Now I will watch your video.

[@Kualinar]

The (3x-6) must evaluate to 3 as 64 is 4^3. So, x=3 as 3*3-6 = 9-6 = 3.

[@darkst0rm2]

1:24 This is pretty simple, did it in my head (thanks for the easy ones!) my wife would never figure this out, unfortunately as she is in finance. That being said 4^3=64 therefore, (3*3)-6 =3, and that leaves 4^3, which is 64. You don’t need brute force if you just know some basic multiplication. Sad you offered us to use a calculator for this one.

[@harrymatabal8448]

Tabletaths must watch the videos by MrHtutirials. What a great teacher.

[@johnmarchington3146]

4 cubed is equal to 64 so 3x - 6 must equal 3, hence x = 3

[@vinodshukla4285]

He is in love with himself. He can not stop repeating himself. This is not teaching. It is showing off.

[@stevereade4858]

x=3. Took 30 SEC by sight (inspection).

[@brocksprogramming]

X=3 because in a previous video I watched of yours, you showed us how to make the bases the same. Then you're left with just 3x-6=3 3+6=9 then divide by three❤🎉

[@Abhi-z7q]

X=3 ans

[@abdurrashidbhatti6116]

X=3

[@carlossilva-q4x]

64 = 4exp3

[@ricardomilanez246]

X=3....

[@americagodojo3286]

Your answer is dead wrong. The correct answer is x = 5/3. At x = 3 you get 4^(9-2) or 7. 4^7 = 16,384, not 64. 4 = 2^2 and 2^6 = 64. The base 2 is the same on both sides, hebce 2(3x - 2) = 6 6x - 4 = 6. 6x = 10 3x = 6 x = 5/3 Check your work. 4 ^(15/3 - 2) = 2^6 4^(5 - 2) = 4^3 = 64 = 2^6 (2^2)^3 = 2^6 2^(2 x 3) = 2^6 2 x 3 = 6 and 6 = 6 You are wrong.

[@123demaio]

no

[@ulischmitt4695]

Wasted time on a trivial problem.

[@sonofsarek]

I solved it in my head in less than 10 seconds.

[@jnzooger]

For the people in the comments saying they did this in their head cause it was super easy, that’s not the point of these videos. He gives you the simple one to teach you how to do the hard ones. Like the example 9^x=12, you can’t just solve that in your head. You need to know log exists for that. I now know that x(log9)=log12 so x is approx 1.131. I wouldn’t have known that before this video.

[@larrydickenson8922]

You would have known that the solution to 9^x = 12 is x(log9)=log12 if you stayed awake in 7th grade math and used the log table in the back of your book. Then used the long division that you learned (or should have learned) in 5th grade math.

[@jnzooger]

@@larrydickenson8922do you have any idea how long it’s been since I was in 7th grade? And no we didn’t touch logs until 9th grade. That was nearly 25 years ago for me. This method was lost in my mind. But for other people watching this could be their first time learning about it at all. You don’t have to come off all high and mighty on an educational video. You don’t get a 🙂 or any ⭐️ or an A+ or a 100%.

[@ndailorw5079]

@@jnzooger …seems your excellent comment went completely over his head… the instructor here is not teaching to people at his level, but in spite of that he misses that point! Goes to show that just because I can solve an equation is no guarantee that I can understand other things are necessary to teaching how to solve them, as though I came out of my mother’s womb knowing how to solve exponential and logarithmic equations, before the doctor slapped me on my buns…? Sad! Good job!

[@harrymatabal8448]

Mr zooger then what were you doing in school . Wasted your school fees. My teachers did a great job

[@jnzooger]

@@harrymatabal8448 what fees? I went to public school.

[@abrahammg9814]

X=3

[@Markoliver2]

See i told you i was thick, i meant to write 18/5 where i was criticising your example! 😮

[@krunoslavregvar477]

3x - 6= 3, 3x=9, x=3

[@jimboasie8478]

64 = 4³ And 4 to power of 3x-6 means we have an exponential equation with 4 as the common base. So we get from the exponents, 3x-6 =3, 3x =9. x =3 😅

[@moonmissionpassagetototali1952]

Unknown why Mr. Math Man didn’t use this simplest method. His roundabout method was confusing to new students, especially when advised to use a calculator🙄. Now they still won’t know that if the bases are the same on both sides of an equation, then both exponents are equal. Go figure🤷‍♂️.

[@mathewhorodner2000]

@@moonmissionpassagetototali1952 right, this is a better method although you can still use the log method - you get the same answer

[@charlottecampbell8183]

I watch these math problems about once a week. Mostly because I forgot some of my math, and it's nice to review some of it. I don't think this instructor is condescending or arrogant. He actually does a good job, and he is very patient. As my skills return, I watch fewer of the lower level math videos. Because means I have moved on for those skills. It's possible that would not have regained those lost skills if I hadn't watched these. Now that I've this level I'm reviewing and relearning my calculus skills, and I'm watching those most of the time now. It is great to be able to sneak in a quick review on a phone at my convenience without being required to sign up for a class. Keep up the good work, I really appreciate these math reviews videos.

[@drziggyabdelmalak1439]

Really clear, simple and useful. Thank you, John.

[@mr.mxyzptlks8391]

Not sure where the vid will go, but here are my thoughts. Initial reaction was ‘exponent’, therefore logarithms. But, in this case 64 happens to be 4^3. Aha, same base, let’s equate the exponents. So 3x-6=3. Hence, x=3. This is obviously a special case, and I hope the idea of the vid will be for students to look just a bit beyond the hammered in rules. Change 64 to 5, and the simplification is out the window.

[@harrymatabal8448]

Mr mark please dont blame your teachers. Be honest you are at fault. The teachers that taught me didn't take 20inites to explain such an easy problem..this titor will not vomplete the syllabus. I was an average student but i eorked had to understand and ask questions

[@AnisYousuf-w8u]

Tinbattam wurragehn erasehiw eza abreh tegnama ytrefemu nacgew because of your khiyana ynezih wellahi x aydwlem tebq tinsh yaseeesahal endet wedenante bmitserut deba miknyat sherru hulla divert wedemistochachuh bfesad lijochachuhna bateqalay berekawn hulla sinesachuh enes and ngn echilewalew allah eskeqiyammaw belawn eegmanun hulla yaznibbachuh inshallah ante x yalkachew gar rightu yigbalachew wedwnante inshallah endih sew sayfelg kmistu kliju aleyaytachuh bsera sher endemitgonegunu hulla bismilkah egna enchillalen yenante mistoch lijoch hulu shermuttoch allah 6adrgachew husenel khitamachuhn hulu allah yiwsedew bateqalay zermanzerachuh yteregemu meluwnoch allah yadrgachew inshallah ameen bijahi nbiy saw webiarwahi sohabetulkiram ranhum ajmeeyn wesadatil aweliyae allahu.esoli shekh husen jinril shekh chaliyoch mjn shonkiyu mjn yihun alfatiha

[@moonmissionpassagetototali1952]

Do not use calculator. Instead see that 64 is 4^3. Then since 4 is the base on both sides of the equation, both exponents are equal. Therefore 3x-6 = 3, and x = 3.

[@deograciousuwiragiye8429]

4 to 3x- 6 =64 4 to 3x- 6 = 4 to 3 Simplify 4 This becomes 3x-6 =3 3x-6+6=3+6 3x =9 x=3

[@BrandurDavidsen-wd2lp]

4^3x-6 = 64 3x-6 × log 4 = log 64 3x - 6 = log 64/log 4 3x = log 64/log 4 + 6 X = (log 64/log 4 + 6)/3 X = 3

[@thomasmosca6683]

4^3 = 64 => 3x-6 = 3 => x = 3

[@EbrimaSawaneh-rg6sk]

Hi your maths is great

[@IsraelGod-v7f]

This Question is So easy

[@ajsaus4825]

3. I am getting good

[@carlossilva-q4x]

64 = 4exp3

[@peterlisecki3694]

3. Quite easy.

[@raya.pawley3563]

Thank you

[@alcoholfree6381]

I solved in my head. 4 to what power will equal 64? Easy 4 raised to 3rd power is 64. So 3•3 = 9; 9 - 6 = 3; Therefore the answer is x = 3! Yeah; the more we practice solving these problems, the easier it gets (for me anyways)!

[@billtsekaris565]

X=3

[@danielmadden9691]

x=3

[@يوسفحسينعبدالله-ز4ج]

X= 3

[@harrymatabal8448]

X=3

[@abrahammg9814]

X=3

[@fattahtaherazer4920]

X=3

[@markheller8646]

Four to what power equals sixty four ….Three….Thank you Baby Boomer. FYI Love you content

[@NissankaPerera-n9t]

3

[@samswift4921]

3

[@kennethhubbard2027]

3

[@tonywmckinney]

This was a cool little problem. Thanks!

[@Lazarov_Tweevles]

That took about 10x seconds to solve

[@johnnyllooddte3415]

3 i hope

[@MasterYoist]

People should be able to do a problem like this in their head in less than 5 seconds.

[@ivanvidanovic]

Why?😂

[@mollymam7153]

X=3

[@russelllomando8460]

5 seconds...3...had to be the cube. Thanks for an easy one.

[@panlomito]

5 seconds indeed, needed no paper because this is quite easy: 64 = 4^3 so 3x - 6 = 3 -> x = 3

[@larrydickenson8922]

I would be asleep inside of 15 minutes if I had this guy for any of my math classes.

[@johnlakin5895]

you tube maths man.....legend.

[@juergenilse3259]

If you know, that 64=4^3,the solutionis very easy: 4^(3x-6)=4^3 comparision of exponents leads to 3x-6=3, adding 6 on both sides and we get 3x=9, dividing both sides by 3 leads to x=3.

[@gregconner7368]

MS, Crockett, exactly who are you trying to talk down too.

[@dave929]

Tool maybe 10 seconds to solve: answer is 3.

[@mylittlepitbull3143]

Easy peasy thank you that's why I'm the king of math

[@krisswegemer1163]

Just take log base 4 of both sides.