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.
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.
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.
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.
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.
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.
@@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%.
@@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!
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.
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🤷♂️.
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
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. :)
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)!
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.
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.
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.
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.
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❤🎉
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.
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
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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.
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.
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.
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.
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.
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.
@@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%.
@@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!
Mr zooger then what were you doing in school . Wasted your school fees. My teachers did a great job
@@harrymatabal8448 what fees? I went to public school.
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.
That was how I did it.
Really clear, simple and useful. Thank you, John.
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 😅
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🤷♂️.
@@moonmissionpassagetototali1952 right, this is a better method although you can still use the log method - you get the same answer
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
The (3x-6) must evaluate to 3 as 64 is 4^3. So, x=3 as 3*3-6 = 9-6 = 3.
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. :)
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)!
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
I think it would be far more interesting if the problems you post, and show how to solve, had some actual use.
This was a cool little problem. Thanks!
I first knew 64 was 4x4x4
That all I figured.
And looked at comments.
Now I will watch your video.
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
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.
3x - 6= 3, 3x=9, x=3
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.
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.
4 cubed is equal to 64 so 3x - 6 must equal 3, hence x = 3
4^3 = 64 => 3x-6 = 3 => x = 3
Tabletaths must watch the videos by MrHtutirials. What a great teacher.
Thank you
Hi your maths is great
See i told you i was thick, i meant to write 18/5 where i was criticising your example! 😮
He is in love with himself. He can not stop repeating himself. This is not teaching. It is showing off.
you tube maths man.....legend.
x=3. Took 30 SEC by sight (inspection).
People should be able to do a problem like this in their head in less than 5 seconds.
Why?😂
I would be asleep inside of 15 minutes if I had this guy for any of my math classes.
5 seconds...3...had to be the cube.
Thanks for an easy one.
5 seconds indeed, needed no paper because this is quite easy: 64 = 4^3 so 3x - 6 = 3 -> x = 3
3. Quite easy.
This Question is So easy
Hi Jonh.
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.
3 i hope
Just take log base 4 of both sides.
3. I am getting good
X=3 ans
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❤🎉
3
X=3
That took about 10x seconds to solve
Four to what power equals sixty four ….Three….Thank you Baby Boomer. FYI Love you content
64 = 4exp3
X=3....
Easy peasy thank you that's why I'm the king of math
MS, Crockett, exactly who are you trying to talk down too.
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.
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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
no
Wasted time on a trivial problem.
Tool maybe 10 seconds to solve: answer is 3.
I solved it in my head in less than 10 seconds.
3
X=3
64 = 4exp3
3
X=3
X=3
X= 3
X=3
X=3
x=3
X=3