Solving Exponential Equations

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This algebra video tutorial explains how to solve exponential equations using basic properties of logarithms and natural logs. Examples include factoring trinomials as well.
Logarithms - The Easy Way! • Logarithms - The Easy ...
Log to Exponential Form:
• Writing Logarithmic Eq...
Change of Base Formula:
• Change of Base Formula...
Change of Base Log Problem:
• Logarithms
Properties of Logarithms:
• Properties of Logarithms
____________________________________
Expanding Logarithmic Expressions:
• Expanding Logarithmic ...
Condensing Logarithmic Expressions:
• Condensing Logarithmic...
Natural Logarithms:
• Natural Logarithms
Solving Exponential Equations:
• Solving Exponential Eq...
Exponential Equations - Quadratic Form:
• Solving Exponential Eq...
_______________________________________
Solving Logarithmic Equations:
• Solving Logarithmic Eq...
Graphing Logarithmic Functions:
• Graphing Logarithmic F...
Graphing Exponential Functions:
• How To Graph Exponenti...
Compound Interest Word Problems:
• Compound Interest
Logarithms Practice Problems:
• Logarithms - Practice ...
_______________________________________
Final Exams and Video Playlists:
www.video-tutor.net/
Full-Length Videos and Worksheets:
/ collections

Опубликовано:

30 янв 2018

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Комментарии : 614

@TheOrganicChemistryTutor Год назад

Final Exams and Video Playlists: www.video-tutor.net/ Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections Next Video: ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-yNgmVu0R_T8.html

@-clipz- Год назад

God bless follow God

@-clipz- Год назад

God bless!!!

@jacobbsmith6615 Год назад

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

@jcharper9258 Год назад

💯

@basethedase 4 месяца назад

add another year to that, ty

@lubosikobertm 3 месяца назад

6 years now

@MaxTheAmerican 3 месяца назад

2024, and he’s saving my bacon

@CreepierVonJ 2 месяца назад

@@MaxTheAmericanfinals are tomorrow and I need some prayers

@Kristian-lt3yr 5 лет назад

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

@Abdallahs99 3 года назад

CAP

@aashsyed1277 3 года назад

Super right!

@nancybupe6923 3 года назад

@@Abdallahs99 iiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

@unknown-mn9wo 3 года назад

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

@irisfirazi1806 2 года назад

couldn't agree more

@hanoof9530 2 года назад

I hate my life

@xfaciaI 4 месяца назад

its ok bro ❤

@joepemberton9031 4 месяца назад

I, too, hate your life

@rhodrickganizani2680 4 месяца назад

Just because of mathematics 😂😂😂

@brax300 3 месяца назад

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 3 месяца назад

@@brax300 bro it gets better keep pushing ❤️

@mee.studyyy9714 2 года назад

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 2 года назад

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

@rihanakm1109 Год назад

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

@mikhsly2 Год назад

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

@Shreya-nx3ol Год назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-r21HrxrtBrE.html

@georgesadler7830 2 года назад

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 Месяц назад

Ya I need math in order to do sciences

@overclocked5422 2 года назад

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

@sandravillegas3848 3 года назад

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 !

@user-sl9wc2bd6l 2 года назад

you might have adhd

@evirat8399 2 года назад

@@user-sl9wc2bd6l Wtf

@user-sl9wc2bd6l 2 года назад

@@evirat8399 what’s wrong with you !!

@darion7224 2 года назад

@@user-sl9wc2bd6l 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

@user-sl9wc2bd6l 2 года назад

@@darion7224 have you read “might” You are the one who probably screwed up 😂😂😂

@gabrielhachero3977 4 года назад

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

@mcastillo830 4 года назад

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

@nataliaheidel4694 4 года назад

My teacher just stands at the back and mumbles 😭

@injhs 4 года назад

I HATE corona

@GM.Nobody 4 года назад

@@injhs well, I hate crowns too

@adegbuyimonjola1670 3 года назад

16 mins video

@goldberg3772 Год назад

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 Год назад

ru-vid.com/video/%D0%B2%D0%B8%D0%B4%D0%B5%D0%BE-r21HrxrtBrE.html

@user-gg7bw9lg5j Год назад

Good luck with your exams!!!

@btsmochimi7924 Год назад

I wish you luck❤

@andreamontiel2032 4 месяца назад

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

@Spasmission 3 месяца назад

How are you doing sir?

@gapelestlier.4476 5 лет назад

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

@anca1504 5 лет назад

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

@tsurek 5 лет назад

its all the same. Apply the same rules

@Abdallahs99 3 года назад

CAP

@eyraiojeda9647 3 года назад

I think you're doing functions, not equations lol

@adveturewithme5320 3 года назад

his teaching the easy ones

@nicewater894 3 года назад

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

@chrono4998 2 года назад

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 21 день назад

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 21 день назад

@@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 20 дней назад

@@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.

@borinesandreamae1858 3 года назад

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

@abdulmumeenbalogun9611 2 года назад

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

@Sometimes2242 Год назад

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 8 месяцев назад

What is a derivative pls tell

@moiraswick1239 Год назад

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

@ayandakhumalo9710 2 года назад

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

@ffgenese2 3 года назад

THANK YOU!!! for your math and science videos!!! EXCELLENT VIDEOS!!!

@lemuelcastillano7913 4 года назад

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 2 года назад

ru-vid.com/show-UC7kRlDKbvz1VT6IQ5AKMSvw

@carmenmelendez5195 Год назад

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

@mununpatel7032 7 месяцев назад

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!

@SEALTRONICS 4 года назад

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

@zakreahashim8902 4 года назад

I like the way you explain, I enjoy watch your videos. You are awesome!

@Abdallahs99 3 года назад

STOP THE CAP

@ayeshagul8002 Год назад

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 :)

@lolibetic2206 Год назад

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

@afomiateshome3829 3 года назад

U are the best teacher i ever seen in my life

@jokomani 3 года назад

Dude helped me so much, you're a legend

@johe1973 2 года назад

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

@CrimsonFoxxo 2 года назад

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

@gapelestlier.4476 5 лет назад

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 4 года назад

maria lion Ok but that Chen pfp ❤️✨

@VeritasEtAequitas 4 года назад

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

@kittz4life 4 года назад

@@VeritasEtAequitas 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

@michaelaluisbernal9175 3 года назад

THANK YOU VERY MUCH FOR DOING THIS VIDEO✨💕🤧

@ade2035 4 года назад

you are a great tutor!!

@ervinwilliams9850 2 года назад

Thank you bro, appreciate it 2 years later

@siyandamhlanga4893 2 года назад

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

@Ju-lh1ob 2 года назад

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

@aidancabrera4391 5 месяцев назад

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

@mamtanayak5523 4 года назад

Very informative sir...thankyou👍🙏🏼🙏🏼

@ohemaatv2319 3 года назад

He teaches well..thank you

@adenusikehinde5303 2 года назад

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

@gelaikaalbios8908 3 года назад

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

@kerynsu88 5 лет назад

The best best best tutor in the world

@kerynsu88 5 лет назад

Your explanation is the best

@rainbowrocks1020 3 года назад

Okay so I need a question answered. I'm trying to find the average rate of change of the function f(x)= e^x. Right now, I have [(e^-2+h)- e^-2]/ h ... How would I simplify that so that it's not indeterminate (if you understand what I'm trying to ask lol)

@rosette_renah 3 года назад

This is actually great,,,thanks

@3rdDegree_ 3 года назад

thanks again, magical knowledge man

@formerlymakkas 2 года назад

you explained it better than my textbook

@mariah5304 Год назад

By far the best help ever

@danielrichardson9737 3 года назад

Thank you so much bro really appreciate it..

@aesir4134 3 года назад

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

@aureliusxvincent 3 года назад

Good luck man!

@travispace6658 3 года назад

as long as you can do 2 +2 youll pass

@arv_is 3 года назад

how did you do on your exam?

@aesir4134 3 года назад

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

@aesir4134 3 года назад

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

@fateh9062 3 года назад

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😁

@ladykanrojiarmyblink1570 3 года назад

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 2 года назад

Same thing

@cantthinkofanoriginalname2928 2 года назад

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 2 года назад

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 Год назад

@@cantthinkofanoriginalname2928 jus google practice problems

@olikirke Месяц назад

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.

@gregheffeley4922 6 лет назад

Perfect timing my dude

@Abdallahs99 3 года назад

GET THE FUCK OUT OF HERE MY DUDE

@SKGGAMING08 2 года назад

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

@nokuthulaphokamani3361 2 года назад

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

@fluoroantimonicacid4844 3 года назад

Thank you so much for this 🥰🥰💞💞

@imshamahreen4713 Год назад

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

@strangerthings9870 Год назад

thank you for your easy to understand lesson

@theprofessor9827 3 года назад

This guy is an encyclopaedia of science

@skulldefense9069 Год назад

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

@user-zk7io8hc9v 4 месяца назад

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

@kennethjayunabia3858 2 года назад

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 2 года назад

but 64 isn't a factor

@notwaln650 4 года назад

On the 2nd problem is 8 not a multiple of 16 or is there a reason you cant go 8 and 8 to the 2nd power

@ezrakoenigsberg2438 4 года назад

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

@wackey2k10 3 года назад

absolutely

@rhymerlad9761 Год назад

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 Год назад

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

@hjones1366 11 месяцев назад

I have a question on the last problem illustrated in this video. How can I get clarification?

@alin4977 Год назад

gosh, I love you so much 🥲 THANKYOU!!!

@SproutFiggs 3 года назад

How do you get the 8x in 9x-6=8x+28 when you're about to subtract them and where do you get the 6 when you're adding them on the right side?

@bonifacekariuki7621 Год назад

Nice 👍 like it keep it up can you teach me sprout figgs

@ariyamyilma4579 3 года назад

God I love him so much he always save my days

@user-zi6nc6ve2j 5 лет назад

Thank you so much ^^

@merlyzei Год назад

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

@briannaw8275 4 года назад

this rlly helped thank u so much lol

@theshadypersonify 5 лет назад

at 4:30 does the the base of the log matter? such as logbase2 ??

@BreadCrispy 5 лет назад

No it doesn't matter

@norumi6271 2 года назад

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

@IMathTutorial 2 года назад

Very Good.. Thanks

@codywalker27cw Год назад

Thanks mate. Saving my life here

@tanishrashm3645 2 года назад

I am grateful to you forever 💛

@MSom28 2 года назад

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 3 месяца назад

How'd did you do in those classes

@medszy11 2 года назад

i have a question if its x+8 if there no number in x i ganna alyaw write x whiteout any nmber or there's a invisible 1?

@factfullnessthelikes4566 2 года назад

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 2 года назад

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!

@iZAPMath 4 года назад

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

@rosette_renah 3 года назад

@ris1269 2 года назад

Thx man this helped a lot

@dsnooz Год назад

what about where you have x in an exponent on one side and x not in an exponent on the other side? eg e^3x = x^2 or... 1.5x = ln(x)?

@alfrancisdescalzo6754 2 года назад

i love your video soooo much my man

@kerynsu88 5 лет назад

Pls keep doing what your doing right now but more math pls

@bingpluh 2 месяца назад

this shits a godsend before finals, thank you bro

@jeremycepe393 3 года назад

@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 3 года назад

someone plz answer.....

@B9mah 3 года назад

yup he made a mistake

@cjaysantiago5291 3 года назад

How did the exponent change sir? In the first step

@electrious_46 3 года назад

Who needs a teacher when this channel is teaching everything

@britneydaily2753 Год назад

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 Год назад

I also got confused at this part can someone explain?

@youtubeweb3009 3 года назад

how is the second to the last example possible? the one he factor with substitution. It's interesting yet I don't understand

@aianaabdyrakhmanova5439 4 года назад

I love your math asmr jk THANK YOUUU SO MUCH YOU ARE A LIFESAVER

@999- 2 года назад

GOAT of youtube in math

@jamesmatawa5527 4 года назад

he is a great teacher

@akhaljamry9865 Год назад

what if the base was 3 and 2 .. how can i get them to be the same base

@hagarahmed3989 2 года назад

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

@konstancjadabkowska6163 3 месяца назад

i laughed ❤

@princexl2783 2 месяца назад

LOL this comment is GOD TIER 😂

@StemWithLeiSi Месяц назад

😂😂😂😂

@mickeywebb6850 3 года назад

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

@afterhoursports 18 дней назад

In the first three problems when the base is the same why do you do the opposite to X using the numbers to the left of the = but for the third problem you use X from the right side?