Exponents - Free Formula Sheet: bit.ly/4ehTaPN Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections
I was failing my college algebra course the professor couldn’t teach. I barely understood anything. I had a finals the next day. I collected all the tests that I took btw I failed most of them. I went on RUclips and watched your videos on the topics I didn’t get. I took my finals yesterday got a 78.5 I basically learned the whole college course watching your videos. Imma have to support and buy your merch. Thanks a lot btw you got a new sub.
@@TheTacticalMess Wasn't trying be an "ass", I was genuinely curious because most people finish learning algebra in high school and move on to calculus in college. Algebra must be tough in college though, because highschool precalc course is already hard for me rn.
MR. Organic Chemistry Tutor, thank you for another excellent video on Exponential Equations in Algebra One/ College Algebra. This topic on Exponential Equations looks complicated, however by reducing it to a quadratic equation makes finding the solutions much simpler.
wha...What! I learn most of basic algebra from this guy. too bad there are too many little rules that needs remembering along the way when solving problems which, for the life of humanity I cant remember and, you wont apply a rule that bypass your memory. this question takes the cake on how many steps it need to solve it.
Friend, as with many things, you learn by doing. The more problems you solve the easier it gets. What looks like a crazy trick ends up just being a new tool to use when you need it. That said, there are things I always struggle with. In calculus the more trig identities you can remember the easier it will go for you. Some people seem to find this easy enough, I just do not.
I wish I had videos like this when I was finishing school. I find it hard to figure out how to solve something I don't know how to solvey but watching you as you give the solution which I know I can apply later myself, is a lot of fun, and because it's on RUclips, RUclips is now reccomending me these videos, and I end up procrastinating by learning math... this is a solutely epic
At a general glance cross multiple and it looks like a root 4 minus a half - so in 20 seconds I would posit the answer is 1/2 - quick check says - yes that is right!
Great video man! Could you please do a video on solving Quartic Equations of the form ax^4 + bx^3 + cx^2 + dx + e? I've been struggling with that concept, searched so much on youtube for an explanation but couldn't find any good one.
U have to do guess and check + synthetic or polynomial long division to find the first two zeroes lmao then quadratic or basic factoring for final 2 zeroes
When he was at 4^x - 4^-x = 3/2, you just make a variable for 4^x and substitute that in and since 4^-x is just 1/4^x what we could have done If a = 4^x, then a - 1/a = 3/2 Multiply both sides by a a² - 1 = 3a/2 Multiply both sides by 2 2a² - 2 = 3a Rearrange to get a quadratic equation 2a² - 3a - 2 = 0 2a² - 4a + a - 2 = 0 2a (a - 2) + 1 (a - 2) = 0 (2a + 1)(a - 2) = 0 Hence a = 2 or a = -1/2 If a = 4^x 2 = 4^x Log on both sides log(2) = xlog(4) x = log(2)/log(4) x = 1/2 (a = -1/2 isn't a valid answer to solve for x since you can't take log of negative numbers)
It can't be strictly true that there is only one solution. It is clear there is only one solution under the "real" numbers. But there must be a second solution in the complex plane which would seem to involve the xth route of i.
John Cirillo 0 seconds ago I grabbed my graphing calculator, entered the equations, and reached the solution in less than 45 seconds. Simply graph y = 3/2 and the denominator of the ratio to find the intersecting point at (1/2, 3/2). I then solved it manually, which took less than 3 minutes. Technology is the way to go!
I grabbed my graphing calculator, entered the equations, and reached the solution in less than 45 seconds. Simply graph y = 3/2 and the denominator of the ratio to find the intersecting point at (3/2, 1/2).
too long and lots of useless calculus, you can replace from the beginning 4^x with A, solve the quadratic equation in A that will give you 2 and -1\2 as solutions, negative one is not possible and go straight for solution which is 1/2 for x, should take maximum 2 minutes for the slowest student
Exponents - Free Formula Sheet: bit.ly/4ehTaPN
Final Exams and Video Playlists: www.video-tutor.net/
Full-Length Math & Science Videos: www.patreon.com/mathsciencetutor/collections
I was failing my college algebra course the professor couldn’t teach. I barely understood anything. I had a finals the next day. I collected all the tests that I took btw I failed most of them. I went on RUclips and watched your videos on the topics I didn’t get. I took my finals yesterday got a 78.5 I basically learned the whole college course watching your videos. Imma have to support and buy your merch. Thanks a lot btw you got a new sub.
awe some college teaches algebra? I thought that was only middle-high school thing
CmonBruh 🤦🏽♂️
CmonBruh Why be an ass? I took college algebra and I’m about to do calculus II... college algebra is surprisingly tough.
@@TheTacticalMess Wasn't trying be an "ass", I was genuinely curious because most people finish learning algebra in high school and move on to calculus in college. Algebra must be tough in college though, because highschool precalc course is already hard for me rn.
CmonBruh facts
MR. Organic Chemistry Tutor, thank you for another excellent video on Exponential Equations in Algebra One/ College Algebra. This topic on Exponential Equations looks complicated, however by reducing it to a quadratic equation makes finding the solutions much simpler.
6:43 Hey! I really like this new factoring technique! Thank you so much for that!
wha...What! I learn most of basic algebra from this guy. too bad there are too many little rules that needs remembering along the way when solving problems which, for the life of humanity I cant remember and, you wont apply a rule that bypass your memory. this question takes the cake on how many steps it need to solve it.
Friend, as with many things, you learn by doing. The more problems you solve the easier it gets. What looks like a crazy trick ends up just being a new tool to use when you need it.
That said, there are things I always struggle with. In calculus the more trig identities you can remember the easier it will go for you. Some people seem to find this easy enough, I just do not.
I was expecting logarithmic equations at some point... well there is more than one way to solve it I see.
A much understandable way...
Me too
In 3:10 you can know the value of x, from the proportion 4 with power x must = 2 so x=1/2😊
This was super helpful. I had difficulties with a problem like this and this was the only video on RUclips showing how to solve it. Thankyou so much
you should do a face reveal since youve helped literally millions of people pass math and chem lol
Agreed
I agree.
instaBlaster
It's so quite easy question, you an substitute 4^x=a at the beginning of the question we didn't have to come all this step, for any how thanks!
I actually was studying for my chemistry test but this video is very interesting
Studying for a physics test but watched this
I STILL LOVE AND WATCH YOUR CHEMISTRY VIDEOS🥳
I wish I had videos like this when I was finishing school. I find it hard to figure out how to solve something I don't know how to solvey but watching you as you give the solution which I know I can apply later myself, is a lot of fun, and because it's on RUclips, RUclips is now reccomending me these videos, and I end up procrastinating by learning math... this is a solutely epic
We appreciate you bro and thank you for your hard work
10:20 I'm quite confused, what tpoics should I study before these exponential equations, there's probably something missing in my math toolbox.
V good method n stepts for explaination .every point is clear to me thanks alot
On 11:32, why did he only multiply it on the left side and not the right side too?
Man I really need to see you and shake your hand. You're the best
At a general glance cross multiple and it looks like a root 4 minus a half - so in 20 seconds I would posit the answer is 1/2 - quick check says - yes that is right!
Great video man! Could you please do a video on solving Quartic Equations of the form ax^4 + bx^3 + cx^2 + dx + e? I've been struggling with that concept, searched so much on youtube for an explanation but couldn't find any good one.
U have to do guess and check + synthetic or polynomial long division to find the first two zeroes lmao then quadratic or basic factoring for final 2 zeroes
@@abdisalamhalane7975 I mean, don't you think it's been a bit too long to reply now?
@@keyboardwarrior9177 sorry bro, keep grinding out math
I love this guy!
you do good job thank you
have a nice day
Thank you very much man.
When he was at 4^x - 4^-x = 3/2, you just make a variable for 4^x and substitute that in and since 4^-x is just 1/4^x what we could have done
If a = 4^x, then
a - 1/a = 3/2
Multiply both sides by a
a² - 1 = 3a/2
Multiply both sides by 2
2a² - 2 = 3a
Rearrange to get a quadratic equation
2a² - 3a - 2 = 0
2a² - 4a + a - 2 = 0
2a (a - 2) + 1 (a - 2) = 0
(2a + 1)(a - 2) = 0
Hence a = 2 or a = -1/2
If a = 4^x
2 = 4^x
Log on both sides
log(2) = xlog(4)
x = log(2)/log(4)
x = 1/2
(a = -1/2 isn't a valid answer to solve for x since you can't take log of negative numbers)
Bruh I'm in calc rn n this shit just made my brain explode
It can't be strictly true that there is only one solution. It is clear there is only one solution under the "real" numbers. But there must be a second solution in the complex plane which would seem to involve the xth route of i.
Where did u get the 4^2x?
5/(4^x-4^-x)=10/3
=5/1.5
4^x-4^-x=1.5
4^x=t (t>0)
2t^2-3t-2=0
(2t+1)(t-2)=0
t>0, So, t=2
4^x=2, x=1/2
My brain zigged then it should have zagged but in the end it all made sense.
I was expecting you to use hyperbolic sin since it's sort of in that position in the beginning.
can you solve "10^x =x+1"?
Thx bro for this video
The 'a' could have been introduced earlier in the fractions which could have simplified the work!
Thank you.
One question bro.. (4^x)^2=4^2x or 16^2x??
4^2×
you multiply indices across the elipses.
Tq man for your help
Elon Musk donated 5 million to Khan Academy. I am sad that they left TOCT out of their donation lists.
I solve another way but answer is same thanks
At first you can do u substitution
let u = 4^x
Beautiful
🌻
I need help on this
4^-x=x
Find x
one of the sat maths
Man your content is on point but the audio isn't doing you justice. You need a better microphone, they're cheap these days.
What's wrong with the audio?
@@Flamerate1 Audio quality is okay but it can be greatly improved. Background noise is clearly audible.
Just pay attention to how he explains math, but not to voice
X=0.5
is it A^2 = (4^x)^2 = 16^2x ??
Not at all, product rule for exponential states u multiple the two exponents not the base
как номер 15 из ЕГЭ, только уравнение. хз чо тут забыл, досвидос
💪
John Cirillo
0 seconds ago
I grabbed my graphing calculator, entered the equations, and reached the solution in less than 45 seconds. Simply graph y = 3/2 and the denominator of the ratio to find the intersecting point at (1/2, 3/2). I then solved it manually, which took less than 3 minutes. Technology is the way to go!
It is a long way to get the answer.
why do you teach math on a chemistry title of your channel?
I grabbed my graphing calculator, entered the equations, and reached the solution in less than 45 seconds. Simply graph y = 3/2 and the denominator of the ratio to find the intersecting point at (3/2, 1/2).
Third one
too long and lots of useless calculus, you can replace from the beginning 4^x with A, solve the quadratic equation in A that will give you 2 and -1\2 as solutions, negative one is not possible and go straight for solution which is 1/2 for x, should take maximum 2 minutes for the slowest student
Wish he could improve his handwriting.It is impossible to separate his "Y" from "4".Waste of his time for learner and teacher.