Please cut out all the rambling.. People are clicking on the video for an example of how to do something, if they want motivational help they will ask for it or watch a video on motivational speakers!
The TCMath videos are constructed to be a class in the specific math functions. If you solve the problem, just scroll forward and check your answer. If you got it right, go on to another video. If your answer is wrong, watch the video and learn how to do it correctly. It's really simple to do and it's quicker than writing a comment bitching about the lengthy explanations.
I don't understand why people watch these videos and then make negative comments. You have a choice to stop the video and search for another that pleases you
c. Took me about eight seconds in my head, but I'm totally beat. Sorry about that. This one's a cutie. 1/(12^(2x))=12 1=12•(12^(2x)) 1=12^(2x+1) Now, for a real number, other than zero, raised to a power that the result would equal 1, it must be raised to the 0 power. Ok, so we have then 2x+1=0. 2x+1=0 2x=-1 x=-½ Et voilà!
X must be negative to get the left side greater than 1, so C is the only possible answer. And it checks out correctly. But if you want to solve: Multiply both sides by 12^(2x) 1 = 12^1 × 12^(2x) 2x must equal -1 X = -1/2
Greetings. It is glaringly obvious that the answer is negative 1/2 that even someone who does not have the foggiest idea where to begin should have absolutely no problem seeing that X equals -1/2. (1) If X=1, then 1/12^2X would become 1/12^2=1/144. This certainly does not equal 12. (2) If X=2, then 1/12^2X would become 1/12^2×2=1/12^4= 1/144^2. Clearly, this does not equal 12 either. (3) If X=1, 2 did not work, X=4 would definitely not work either because by extrapolation, if X=4, then 1/12^2X= 1/144^4, a very very small number. Therefore, the only other choice is X=-1/2. Determined as follows. 1/12^2X=12 can be rewritten as 12^-2X=12. Taking the 2X root of both sides gives 12^-2X/2X=12^1/2X, and 12^-1 =12^1/2X. Now, since the bases are equal then the exponents are also equal. That is -1=2X, and 2X=-1. Therefore, X=-1/2 after dividing both sides by 2. I could have gotten the same by saying 12^-2X=12^1. From here, we can see that the bases are equal. Therefore, without having to find the 1/2X th root, we can simply equate the exponents and then solve for X. Lovely.
I solved it three ways. One was the way he showed. Another was by using logs. The third was to multiply both sides by 12^(2x). That gives 1 = 12^1 times 12^(2x). Flip to put x on the left. (12^(2x))(12^1) = 1 12^(2x+1) = 1 12^(2x+1) = 12^0 2x+1 = 0 x = -1/2
@@bigdog3628 True, but on the right side I represented 1 as 12^0 in order for the base of both sides to be 12. That way, you're left with only the exponents: 2x+1 = 0.
Whoa that's the good stuff. Thanks math man. I'm a math head😂 I'm so addicted to math 😂 I have a serious math problem😂 you got me hooked on math John the math man 😂 do you have any more math tonight? 😂 Jk my brain is bleeding from that last hit 😂 why was 6 mad at 7? Old joke/ new joke 587 6842 it was a bad day in the numberhood 😂 I love your classes I've learned so much Thank you so much for what you do 👍😁❤️👋😎
He is tangential. He is COMPELLED to ramble first in One direction and then another. this is a personality quirk and highly frustrating to his audience. GET TO THE POINT LAD. OCD is treatable !
the correct result is very easy to see, if you rewrite 1/(12^2x) to 12^(--2x) and 12 to 12^1.
1/12^2x = 12/1 means: 12^2x multiplied by 12 divided by 1 multiplied by 1 = 1. So 12^2x must be 1/12 = 12^-1. So 2x must be -1 => x = - 1/2.
Please cut out all the rambling.. People are clicking on the video for an example of how to do something, if they want motivational help they will ask for it or watch a video on motivational speakers!
The TCMath videos are constructed to be a class in the specific math functions. If you solve the problem, just scroll forward and check your answer. If you got it right, go on to another video. If your answer is wrong, watch the video and learn how to do it correctly. It's really simple to do and it's quicker than writing a comment bitching about the lengthy explanations.
I don't understand why people watch these videos and then make negative comments. You have a choice to stop the video and search for another that pleases you
c. Took me about eight seconds in my head, but I'm totally beat. Sorry about that. This one's a cutie.
1/(12^(2x))=12
1=12•(12^(2x))
1=12^(2x+1)
Now, for a real number, other than zero, raised to a power that the result would equal 1, it must be raised to the 0 power. Ok, so we have then 2x+1=0.
2x+1=0
2x=-1
x=-½
Et voilà!
got it C easy logic HAS to be a negative it counters the fraction thanks for the fun
The only possible answer must be c) because any other answer will result in a fraction.
12 ^ (2 x -1/2) = 12 ^ (-1) = 1/12 so 1 / 1/12 = 1 x 12/1 = 12
X must be negative to get the left side greater than 1, so C is the only possible answer. And it checks out correctly.
But if you want to solve:
Multiply both sides by 12^(2x)
1 = 12^1 × 12^(2x)
2x must equal -1
X = -1/2
Greetings. It is glaringly obvious that the answer is negative 1/2 that even someone who does not have the foggiest idea where to begin should have absolutely no problem seeing that X equals -1/2.
(1) If X=1, then 1/12^2X would become 1/12^2=1/144. This certainly does not equal 12.
(2) If X=2, then 1/12^2X would become 1/12^2×2=1/12^4=
1/144^2. Clearly, this does not equal 12 either.
(3) If X=1, 2 did not work, X=4 would definitely not work either because by
extrapolation, if X=4, then 1/12^2X=
1/144^4, a very very small number.
Therefore, the only other choice is X=-1/2.
Determined as follows.
1/12^2X=12 can be rewritten as
12^-2X=12. Taking the 2X root of both sides gives
12^-2X/2X=12^1/2X, and
12^-1 =12^1/2X. Now, since the bases are equal then the exponents are also equal. That is -1=2X, and
2X=-1. Therefore, X=-1/2 after dividing both sides by 2.
I could have gotten the same by
saying 12^-2X=12^1. From here, we can see that the bases are equal. Therefore, without having to find the
1/2X th root, we can simply equate the exponents and then solve for X. Lovely.
thanks for the refresher, it helps when i am coding dangerous applications to get math right
I solved it three ways. One was the way he showed. Another was by using logs. The third was to multiply both sides by 12^(2x). That gives 1 = 12^1 times 12^(2x). Flip to put x on the left.
(12^(2x))(12^1) = 1
12^(2x+1) = 1
12^(2x+1) = 12^0
2x+1 = 0
x = -1/2
wrong. anything to the 0 power is 1
@@bigdog3628 True, but on the right side I represented 1 as 12^0 in order for the base of both sides to be 12. That way, you're left with only the exponents: 2x+1 = 0.
C, but I haven't got the hang of how to solve these yet. I don't remember ever having done it in school or college.
yet another reason why good math teachers do NOT use multiple choice UNLESS, they are also requiring all work to be shown.
Flip the equation. Then 12^2x = 12^_1.
So 2x=-1.
x=-1/2
Of course! Easier indeed!
OK but cross multiplying is the easiest way to solve. (12^2x)(12^1) = 1. 12^2x+1 = 12^0. 2x+1=0. x=-1/2.
Cross product + Logs got me the right answer. But let's see what I could have done instead.
12^-2×= 12^1/ -2×=1/ x=-1/2
Whoa that's the good stuff. Thanks math man. I'm a math head😂 I'm so addicted to math 😂 I have a serious math problem😂 you got me hooked on math John the math man 😂 do you have any more math tonight? 😂 Jk my brain is bleeding from that last hit 😂 why was 6 mad at 7? Old joke/ new joke
587 6842 it was a bad day in the numberhood 😂 I love your classes I've learned so much
Thank you so much for what you do 👍😁❤️👋😎
Good stuff.
C) -1/2
c) -1/2
C. -1/2
c) x = -1/2
Austin
It does not take 1/2 hour to answer this problem. He goes off into 19 directions .😮
The problem can be solved very easily, but his explanation is very boring.
It must be -1/2
And: c
When i solved it in 3 secs just by looking at it me seeing whole video time 😂💀WTF
-1/2 i.e c
A😊
I came out with a zero not solvable!
-1/2
B
X= -1/2
C is correct
Give up maths and go to English classes. Which is correct? Which value of x is correct. Think about this in the john
His English is good enough. This is math class.
First
Unnecessary explanations. He is not sufficiently well equipped, I think.
He is tangential. He is COMPELLED to ramble first in One direction and then another. this is a personality quirk and highly frustrating to his audience.
GET TO THE POINT LAD. OCD is treatable !
Yes, that is Mr. Math. Get used to it!
X= 1/2
-1/2