Solving Exponential Equations

[@TheOrganicChemistryTutor]

Exponents - Free Formula Sheet: bit.ly/4ehTaPN Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: kzbin.info/www/bejne/r3_KnomrZbeSipo

[@-clipz-]

God bless follow God

[@-clipz-]

God bless!!!

[@jacobbsmith6615]

4 and a half years later and this is still saving lives. I can’t express how helpful this mans’ videos are.

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💯

[@basethedase]

add another year to that, ty

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6 years now

[@MaxTheAmerican]

2024, and he’s saving my bacon

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@@MaxTheAmericanfinals are tomorrow and I need some prayers

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You are a lifesaver! You have helped me for the past 2 years in chemistry and math! Keep doing what you do!

[@Abdallahs99]

CAP

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Super right!

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Same I’ve been watching his videos since 2018 very helpful

[@irisfirazi1806]

couldn't agree more

[@gabrielhachero3977]

Who will win? Comment: Professional license teacher Vs Like: 16 mins video

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Gab Hachero since my math teach is a good cup of tea that i can understand her taste,, i choose both uwu

[@nataliaheidel4694]

My teacher just stands at the back and mumbles 😭

[@injhs]

I HATE corona

[@GM.Nobody]

@@injhs well, I hate crowns too

[@adegbuyimonjola1670]

16 mins video

[@mingminglingling_0]

I don't usually comment on videos but.... I have to tell you sir, I have been struggling for 2 semesters and you just explained it in less than 4 minutes. Thank you so much!!

[@alauniyahh]

i- gurl- the damn video is 16 mins long what

[@rihanakm1109]

@@alauniyahh it's a joke like 4^2 is 16 right so like yeah haha

[@mikhsly2]

@@alauniyahh maybe they understood it in just less than 4 mins

[@Shreya-nx3ol]

kzbin.info/www/bejne/qGOUeaWup9l1qKc

[@Sometimes2242]

I can't thank this channel enough! I'm going to college 12 years after high school, which has proven very difficult. I'm working my way up to calc 2, this man is a godsend as my online classes don't explain this material even 2^-2 as well as he does. Cheers! Edit: Grammer, not the math lol.

[@juan9154]

What is a derivative pls tell

[@overclocked5422]

Why is this man not teaching my classes? He is so much better than most teachers out there, especially mine.

[@georgesadler7830]

MR. Organic Chemistry Tutor, thank for selecting and solving Exponential Functions for all past, present and future high school and college students. Having a strong math background is very important for all Engineering and Computer Scientist etc.

[@StemWithLeiSi]

Ya I need math in order to do sciences

[@chrono4998]

i'd just like to say, i dropped maths after my second year of highschool, and now i'm in a gap year self studying high school maths to get the qualifications to get into uni for physics. you'd think it was impossible, so thanks so much to this guy

[@greyinsight]

Im literally in the exact same position as you. How did it go? Im self-teaching myself algebra 1-2 , geometry, trigonometry, and calculus.

[@chrono4998]

@@greyinsight oh my god thank you for reminding me of this comment! I barely passed it and got in, currently cramming for a stats exam in two days. Practice makes everything, and uni level math is fun once you start seeing the patterns, it will always feel confusing at first but that's for everyone. Do you have a curriculum you're following? And do you have a test you need to pass to get in? Structuring your learning is everything imo and that's something I had to learn the hard way. If you have the time left before the semester I rec reading up on real analysis if you have it in the first semester like we did, it's literally calculus but built from the ground up. Took me personally a long time to get used to the change in framework from computation to proofs. Also, if you don't understand something, look for another resource, you're already using chat gpt right?

[@greyinsight]

​@@chrono4998 Currently unsure of any tests to enter any universities, I'm just self-teaching through a myriad of resources as of now. I utilize Chat-GPT for inquiries to further my knowledge of the concepts I'm learning. The structure I'm following is through a few free websites like Khan Academy, so I have a roadmap to follow. I'm in between moves, so it's been difficult overall to focus on academics. Regarding computation and proofs, I enjoy the process of computation just as much as proofs, but for me, I must be proficient in computations before comprehending the processes behind proofs. Chat-GPT assists me in that facet. What also is tremendously beneficial was understanding the history of each discovery and how it came to be, it just kindles great curiosity to each new concept I'm introduced to, how they were established as axioms just fills me with reverence for the field. I'm not enrolled in any colleges or universities as of now but I get the feeling though when Im actually introduced into the environment of a university it's going to be stressful. :( But I made a personal vow that this is something I desired more than anything. Been curious of our place within the cosmos since birth, and physics is the entrance to the realm of discovery.

[@jonahcosyns981]

@@chrono4998 I would like to study physics in uni, do you have tips or things I should focus on? I just would like to prepare myself a bit.

[@goldberg3772]

I really wish I could hire you as a tutor! Your simple and straight-to-the-point explanations are so on point with the way I learn. I am a 51-year-old veteran getting ready to take calculus next Fall, taking math 111 now and I know I can do this, but I do need to grind at example after example until it becomes like moving my hand. Thanks so much for what you do. I know you make a decent penny from these but there is a reason that you do. You're really good at leading instruction videos my dude!

[@Shreya-nx3ol]

kzbin.info/www/bejne/qGOUeaWup9l1qKc

[@Sean-t5j]

Good luck with your exams!!!

[@btsmochimi7924]

I wish you luck❤

[@andreamontiel2032]

I hope you're doing well! Keep goingggg!!!!!

[@Spasmission]

How are you doing sir?

[@anca1504]

These were actually pretty easy compared to the ones in my class.

[@tsurek]

its all the same. Apply the same rules

[@Abdallahs99]

CAP

[@eyraiojeda9647]

I think you're doing functions, not equations lol

[@adveturewithme5320]

his teaching the easy ones

[@nicewater894]

watched the video 4 times over and still don't get how to calculate these, how are you guys doing this

[@sandravillegas3848]

Thank you so much! I’ve been doing online school and sometimes I get distracted in class or sometimes the problems they assigned for homework are more complicated than the examples they show us in class. And your videos really help to understand the subject better !

[@عبدالعزيزمحمد-و2و]

you might have adhd

[@evirat8399]

@@عبدالعزيزمحمد-و2و Wtf

[@عبدالعزيزمحمد-و2و]

@@evirat8399 what’s wrong with you !!

[@smelly-onion4]

@@عبدالعزيزمحمد-و2و Unlikely. Some professors never go over difficult problems in class and the textbook usually doesn't either, it's pretty screwed up, just like your thought process

[@عبدالعزيزمحمد-و2و]

@@smelly-onion4 have you read “might” You are the one who probably screwed up 😂😂😂

[@simonngoma2910]

Man, I used to watch these videos when I was doing my Chemistry and Management degree in campus, after campus I became an online Tutor and now I am about to do a function patent and dissertation. This guy has been a lifesaver.

[@ayandakhumalo9710]

Currently practicing for my exams n bec of these videos a A+is promising 😭💜thank u sir

[@abdulmumeenbalogun9611]

Well, I gotta say... I'm a big fan man. Keep doing what you do, you've been helping me.

[@lemuelcastillano7913]

Hi! can i attach the youtube link of your video to the self-learning modules of our department in order for the students to learn more from the contents of this video aside from the modules that will be distributed to them? Thanks a lot.

[@MathEducation100M]

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U are the best teacher i ever seen in my life

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Thank you so so much! I am currently cramming information for a test and literally you've helped me grasp this so so much!!

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This guy is the best thing going in terms of education.

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absolutely

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high-key want him to be my all time math teacher fr

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Keep doing what you do mister! we really appreciate it💖💖

[@skulldefense9069]

Idk how to thank you man, saved me through countless math tests. love you man (no homo)

[@carmenmelendez5195]

Excellent tutorial bro,I had to backtrack 4 or 5 times to fully grasp the concept but I finally got it.

[@olikirke]

This will sound like a broken record, but I need to say it. Thank you so much for providing such a good free tutorial that helped me to bridge my gap in knowledge.

[@borinesandreamae1858]

this really helped me , the explanation is very clear and easy to understand , easy to get and easy to learn.

[@gapelestlier.4476]

THANK YOU SO MUCH! THIS IS SO USEFUL THO. MY TEACHER GAVE AN ASSIGNMENT REGARDING THIS AND DIDN'T TEACH US HOW TO SOLVE😭 SO THANKFUL I'VE FOUND THIS THANKS!!!!!

[@catalinam7506]

maria lion Ok but that Chen pfp ❤️✨

[@VndNvwYvvSvv]

Then you weren't paying attention when they taught this before the assignment. 🤦‍♂️ Glad the video helped

[@kittz4life]

@@VndNvwYvvSvv some teacher don't teach well or they don't really cover it and expect kids to look in their textbooks to learn. In which case I don't think they are teachers as more of a, "this is a thing I can get paid for and not actually do anything except grade papers and wake up early! Score!" is it obvious that I had one of these people XD

[@dale.-.]

you are actually a life saver, may your pillows be cold on warm nights and hot on cold nights

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I love you so much you just taught me something that I couldn’t learn in like 7 hours of practice thank you so much! You are changing lives!

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Why do teacher teach things looks very difficult but it’s actually 10x easier when I see like these video

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Who else has a test the next day

[@AndokDev]

Accurate

[@ariyamyilma4579]

God I love him so much he always save my days

[@formerlymakkas]

you explained it better than my textbook

[@jeremycepe393]

@15:03 isn't it supposed to be 3^2x(1-1^-1) ? I mean, when you divide the base 3 & -3, you'll get -1 right?

[@B9mah]

someone plz answer.....

[@B9mah]

yup he made a mistake

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The best best best tutor in the world

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As always , I'm passing thanks to you. You're the GOAT Gracias.

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STOP THE CAP

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subscribed, you've been helping me since this pandemic and we only have online class

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Thank you bro, appreciate it 2 years later

[@mickeywebb6850]

The Organic Chemistry Tutor can teach math better than University lecturers.

[@nokuthulaphokamani3361]

You helped me a lot I'm studying for my exam for Tuesday

[@cantthinkofanoriginalname2928]

Would be great if you could give us some kind of test at the end that makes us use what we've learned from the video. It'll be way better that way because people don't learn passively. People learn by doing things actively.

[@cantthinkofanoriginalname2928]

Re-watching the video and Rereading my comment now. It sounded dumb. What i meant was giving us exponential equation in the end but with no solution and you should only give us the answers so that were forced to rack our brains.

[@tekiii333]

@@cantthinkofanoriginalname2928 jus google practice problems

[@mariah5304]

By far the best help ever

[@britneydaily2753]

I have a question, on 4:10, why is it 6 and 8? And not 9 and 28? Is there a specific rule and how to do that part?

[@xantheuss]

I also got confused at this part can someone explain?

[@frylum120]

subtracting 9x instead of 8x would make x negative. it just saves the step of making x positive at the end. 9x - 6 = 8x + 28 subtract 28 from both sides 9x - 34 = 8x >then subtracting 9x from both sides -x = -34 multiply or divide both sides by -1 x = 34, same answer

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I am grateful to you forever 💛

[@fateh9062]

Just a suggestion guys: you could also collect like terms. Every thing with x should be taken to either side of the equal sign 2x-x=2-3 ( example) thanks😁

[@XIAO-j9o]

Yeah your example is how we were taught. I got confused when he did it differently but I realised it was the same thing.

[@jahnj2523]

Same thing

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thank you man what you do helps a lot of people with math. Keep up the good work!

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Excellent tutor providing valuable informations and lessons in a most simpler and understandable way plus free of cost. Highly recommended. Keep doing great work. May God bless you always :)

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this man will solve a problem , and on seeing the answer , I do forget how the problem looked like in the begining , this is crazy ....

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thank you for your easy to understand lesson

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6 years ago but still more helpful than actual classes 😭

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Perfect timing my dude

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GET THE FUCK OUT OF HERE MY DUDE

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@@Abdallahs99 did you just learn those words and tried them out here lmao

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Who needs a teacher when this channel is teaching everything

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this shits a godsend before finals, thank you bro

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This tutor is absolutely splendid, thanks bro i'm getting better in mathematics, i'm doing Instumentation and control systems, i find a lot of help from this wonderful man

[@rhymerlad9761]

I've got a problem with the final stage. How do you know which subtract with and which to add with??? Or should I just choose randomly?

[@moncheri7]

Same I don’t get it… have you figured it out how to subtract and add which side???

[@itspatwick]

Hey, i know this is a bit too late but it doesn't matter which side you use, you will come up with the same answer

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I am a grade 9 student. My teacher teaches so fast I don't understand. Sir, you helped a lot😃.

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Thank you so so much I'm writing my exams soon and this really helped 💗

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this guy will get me through my IB maths

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Im going to take a military academy entrance exam in 3 hours. Wish me luck!

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Good luck man!

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as long as you can do 2 +2 youll pass

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how did you do on your exam?

[@aesir4134]

Welp, I'm sorry to disappoint you guys. I think I did well in maths, but I messed up in other subjects.

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But it's ok, there's still a second chance. I'll make sure I'll nail it the second time around 🤗

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Your videos are so helpful, literally passing cuz of u thxxxx

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U are a good teacher u make me know my mathematics very well

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Dude helped me so much, you're a legend

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You have helped me with the math i never got correct. Thank you very much!

[@CleaningNature1234]

Hi, how do you determine what to subtract and what to add after you have matched the bases?

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GOAT of youtube in math

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Your explanation is the best

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Guys my favorite youtuber by the power of ♾️

[@merlyzei]

11:11 why +6 tp both sides and not +2? is it required to use the right side number

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I am really tired of finding her ex she should move on and forget him

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i laughed ❤

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LOL this comment is GOD TIER 😂

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😂😂😂😂

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i think it should be "finding HIS x so he should move on and forget HER," because in biology, only males have Y chromosomes, get it?😅

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Very informative sir...thankyou👍🙏🏼🙏🏼

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Going through grade 6 is not easy but much better with your help

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They teach you this in 6th grade? Good job man!

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GRADE 6??? im a sophomore in college and this is the first time ive seen this

[@kennethjayunabia3858]

On the given 4^2x - 20(4^x) + 64 = 0, we can also just factor out 4^x, and see that x clearly is equal to 1.

[@jndnfnnoe1504]

but 64 isn't a factor

[@iZAPMath]

Very easy to follow, I love that the video has many examples! Totally clear!

[@rosette_renah]

Uk

[@NotEvo12]

I cant wait until I never use this in my entire life

[@misricumar6963]

Thanks

[@akanecollazo6244]

I slept in and forgot to join my math class so here I am trying to learn by myself what I missed :') that's the problem with online school

[@lolibetic2206]

Thank you so much for this, I am currently about to do some entrance exams in a few weeks and your videos have been a great help

[@michaelaluisbernal9175]

THANK YOU VERY MUCH FOR DOING THIS VIDEO✨💕🤧

[@osninja8609]

1:15 why did you do that simultaneously please explain or tag a video to me pls organic chemistry

[@italianshin6788]

Where have you been all my life organic chemistry tutor?

[@factfullnessthelikes4566]

when we write the numbers to their exponent form, do we have to use the same number for both part of the equation? for example 9 is exponent for 8=16, exponent of 8 is 2^3 and 16 is 2^4. But, we can also write 16 as 4^2. this is what I did and got different answer . Am I missing something?

[@dojostudios4ever]

Yes you have to use the same number. Like he said in the video, you have to convert the two numbers on both sides of the equation to a common base. For example 27=81, which equals to 3^3=3^4. The base numbers are the same, so the exponents are equal to each other, remember, ONLY when the base numbers are the same. I hope I helped. Good luck!

[@fluoroantimonicacid4844]

Thank you so much for this 🥰🥰💞💞

[@MarkFarinasAlolod]

I can much understand his example than my teachers example thanks for everything.

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I hate my life

[@xfaciaI]

its ok bro ❤

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I, too, hate your life

[@rhodrickganizani2680]

Just because of mathematics 😂😂😂

[@brax300]

Fucking same bro. I couldn’t relate more than I do in this moment. Fuck math, fuck college. I don’t know why I’m doing any of this. It’s all a blur. Fuck my godamn life.

[@xfaciaI]

@@brax300 bro it gets better keep pushing ❤️

[@sharonrumbidzaimadzivanzir8553]

you are a life saver

[@ohemaatv2319]

He teaches well..thank you

[@trini_gamer1733]

How does any of this benefit me in my entire life

[@norumi6271]

15:57 You never got rid of the 2 from the 2x = 54/2 so should it not be x = 27/2?

[@hye2354]

Might be late but I have the same question.. I might be wrong, but towards almost the end of the calculations I got 3^2x=12 And I got stuck trying to get the solution because when I type in the calculator I got the answer in surds🤷🏻‍♀️

[@norumi6271]

@@hye2354 it’s been so long that I literally have my final math exam tomorrow before heading off to university and I’m revising this right now

[@hye2354]

@@norumi6271 HAHAHAH good thing I replied to remind you of this!!

[@hye2354]

@@norumi6271 I'm in quite the same case as you.. I'm revising for my midterm test next week! Well, good luck for your test!

[@norumi6271]

⁠@@hye2354oh and to answer your question what he did was 1. He factorised out 3^2x from the left to produce 3^2x(1-3^-1) = 18 2. He divided (1-3^1) from both sides 3. Then simplified to get 3^2x = 27

[@MSom28]

the last example on in this video reaaaaally reallly mind f**ked me lol. I still really really appreciate your videos though! Thank you so so much. I'm trying to do my 1st year physical chemistry at University of Toronto even though I've never taken Gr.12 chemistry or any of the Gr12 maths lol. I know I reaally really should have taken the time to complete those highschool courses first before enrolling myself into a university chemistry course but it is what it is now and I'm just going to try and survive through the course by watching your channel!!! :')

[@chriscarter6432]

How'd did you do in those classes

[@alfrancisdescalzo6754]

i love your video soooo much my man

[@sanopann1896]

why the the 3 stiil there at 15:02 why the 3 wasn't cancel too that should be 1

[@jamesmatawa5527]

he is a great teacher

[@FCB_Chloe]

Dude you are a lifesaver

[@katlegotalane8669]

The saying is true not all heros wear capes 👏 🙌 👌

[@nawarfouad6264]

9:57 i solved in a different way but got the same answer this: ln4 - 6/-2 which simplifies to 3-ln2

[@freedomofspeech2420]

This is so confusing to me lol can’t believe math is going to bring down my gpa. I’m just so discouraged.

[@lavonnepeduca7270]

Same, my other courses are doing fine except calculus 😓 I’m about to fail it

[@rosette_renah]

Don't be,,you can make it😊

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come on don't be discouraged!! you will always taste fail but you will taste victory one day and you're gonna love it!!! YOU CAN DO IT MY MANNNNN!!!!!

[@frylum120]

its all about fundamentals and practice. u have to fill in the gaps of your knowledge, then stuff will start making sense

[@codywalker27cw]

Thanks mate. Saving my life here

[@namiko-t1z]

how to know which one to add and subtract to both sides? do i need to pick the lower number to subtract to the other? otherwise its gonna be negative