❖ Solving Exponential Equations - Three Basic Examples ❖

[@patrickjmt]

If you LIKE the video please thumbs up and leave a comment! I'd appreciate it :)

[@bok4822]

Uploaded 10 years ago. Still helping people like me getting through exponents easier. You deserve way more views for this simple but helpful video.

[@maui2486]

Yeps!

[@reycalog6381]

@@gianchand8272 22

[@Alvinantobinoy]

She is a tran of a lot more to gooooooooooooooo than that I am a good

[@thewilmarvelfan]

12 years now lol

[@bigg7552]

@@thewilmarvelfannow 13

[@ninatorees9620]

Knowing that some of you guys do this in college gives me hope that It's not too late to catch up in maths

[@lasaventurasdemagy1576]

Im doing this in 7th grade

[@wilsonchen761]

no youre not

[@karabomonaiwa1430]

Nina Torees funny coz we never get this kinda of questions, but you come this as you working towards the solution... it’ll to your advantage to know this before you get to college...

[@GERARADO345]

STOP LYING, Im in a AP program and seeing this in grade 10 lmao

[@SM-ds2mh]

in the uk they do this in year 7 what with the new 9-1 its in the syllabus now......

[@horsieb154]

I think you are seriously one of the best math teachers I have ever had! It takes me 40 minutes to understand my teacher, only 10 to understand you! Thank you so much :)

[@ninjapirate123]

Are u still alive

[@MsTrinidadgirl]

You are so easy to understand,i have finals tomorrow and you have helped me a lot.God bless you for taking the time to do these videos

[@markcox8256]

How did they go?

[@billeastwood597]

i also have mine tomorrow

[@m.k4307]

noobkilas yomumgei and mine tomorrow 😂

[@kiernanforbes4590]

Funny Randomz i have mine today

[@gameraj9536]

@@markcox8256 that is a 6 year comment dude!

[@WarfestKing]

This helps a lot. Thanks so much! I have a teacher that I'm not the most fond of and his explanations I just can't understand. This is something I can replay as many times as necessary to get these types of problems right on the first attempt. Your way of explaining it is clean and thorough, making easy comprehension. Lifesaver!

[@evelynekadalwa6636]

11 YEARS AGO. ITS UNBELIEVABLE HOW INFORMATION NEVER GETS OLD.

[@Daniel13l]

You're cool man, your teaching is simple, quick, agile, and helpful. My teacher talks like a whole hour to explain one problem and at the end he just confuses everyone. Thank you!

[@ApplePi31415]

Much better than my teacher

[@xenog4386]

In fact, most of the teachers can't explain math well.

[@malilixoxo197]

Fr lol

[@weyeah1995]

God bless you, I just cant see why my teachers explanations are not so smooth and simple. Another thing I like about the way you teach is that you go over more than one type of example.

[@Justicejamesb]

I wish math teachers could explain things so easily, great video!!

[@NerdyJew]

THANK YOU SO MUCH. I’m an american high-schooler living in germany, where math concepts are taught in German, which is nice for the german kids, but a bit tough for me. You definitely just improved the grade I’m getting on my math test tomorrow.

[@priscillaterriquez9513]

Your videos have definitely made me understand my homework to the point where i actually enjoy solving each problem!! T H A N K Y O U

[@garmic01]

+Priscilla Terriquez Pleasure

[@coolmast9076]

hi darling you understood then you teach me

[@theninjadang]

Holy crap I've been sitting here trying to do a math problem for 1hr. I watched this and finished it in 5 seconds. Thank you Patrick! Subscribed!

[@fishing10ooquu]

Bro I just liked your comment from 10 years ago

[@zelmayjan1267]

@@fishing10ooquu lmao same

[@zelmayjan1267]

part of history

[@fishing10ooquu]

@@zelmayjan1267 epic bro

[@zelmayjan1267]

@@fishing10ooquu ye

[@anecho7021]

Your videos are going to make my exam a little less painful. Thank you so much for sharing your knowledge!

[@jopeezy6971]

Thank you so much, hours of class time with a hard to follow professor left me confused. However after 6 minutes of you explaining this has given me the comprehension and confidence needed to pass my test tomorrow. Keep it up man, you deserve the 30$ an hour my professor gets!

[@connormcmullan3405]

Thank you so much for this, think I've learnt more here than in 2 hours of class

[@GameSliders]

Your work is neat and I wish all math teachers were as easy to understand. Everyone needs to subscribe to you. Keep up the great work!

[@13magero]

Hey man its people like you that keep me from failing college thank you for posting these vids. I highly encourage people to keep posting info videos. They just really help everyone out. keep up the good work my friend!

[@thefrankbros1130]

You my friend, have my deepest and upmost thanks for this video

[@jakeb8493]

Before this video, I had no idea what the "ln" thing was, but after watching this, I fully understand it. Thank you SO much!

[@ChrisChubb4MN]

Bro, I'm finally in college after 15 years. You just saved my ass.

[@layoflakersnation]

Every week you save my ass come test day. Once again, Great videos and super clean and coherent explanations.

[@marcussimpson5524]

I haven't taken math in over a decade and now i'm in business calc trying to brush off some hardcore rust. You are a life saver!

[@patrickjmt]

happy to help :)

[@MsTD1995]

I have been looking for help on YT for a week now!!!! thank you!!! that looks so simple when you do it. you saved me!! :)

[@Genesis3338]

Thank you for making these videos available and simple enough for people who have been cursed with less than average math teachers! You have awesome handwriting to be left-handed, by the way! :D

[@ninjapirate123]

are u still alive

[@lovestein55]

taking a summer mathematical modeling class that's two and a half hours long and you explained this better in 7 mins than my professor has the entire two months lmao

[@ceeboi2092]

Thanks for the refresher, it's been about 18 years since I used logs this video is a huge help! Thanks!!!

[@laughs2go1]

You're amazing! I don't know how you do it but you explain it in a way that doesn't confuse me at all.

[@happinessrunns]

Your last example saved my life, I was looking everywhere for an explanation for that type of equation. Thank you!

[@ninjapirate123]

hey are u stil alive

[@happinessrunns]

@@ninjapirate123 yeah, lol. I remember when this was hard.

[@ninjapirate123]

@@happinessrunns Now since you've gotten older u find this very easy

[@P.r.o_F.o.o.l]

​@@happinessrunnsu still alive in the year 2024?

[@imperviousfatality]

Why are you so awesome!! My teacher fails at teaching, but you are saving my life (:

[@999davidstevens]

Awesome Explanation! Clear as the Spring sky! You Rock! I don't understand how come some people don't like this video?

Very long time since I studied math, 20+ years, but in 01:20 how do one know that can be done in the first place?

[@xJohnnyxable]

Thanks for the help man. Very generous. You seem to have a video for all my math problem needs

[@cassiep4490]

organic chemistry tutor & patrick jmt are the best math youtubers they really help me out a lot

[@maribnsaad]

Great ideas mr. Patrick. I wanna thank you so much for these videos. It helps me a lot. you are the teacher I've lost.

[@patrickjmt]

@bryfryable didnt rewatch but my guess is: no

[@paulnjeru2005]

Just realized that this is a ten year old video. Thank you for the great explanation of how to solve exponents with different bases in different scenarios. also realized that your also left-handed.

[@patrickjmt]

You're very welcome!

[@PortablePuertoRican]

Thanks You!!! I was stuck on a problem on my take home practice final and all the onther sites i went to always stopped the exponent lessons at what you did for question B. But you reminded me of the one thing I'd forgotten about, distributing after pulling the exponent in front. -_- I don't know why i keep forgetting that, but now i can take my Algebra final this week with a little more confidence. Keep up the Vids Dood! They are easy to understand and since i can pause I can take them at my own pace. They have helped me study for my final far better than simply doing problems over a over again ever could. :D

[@gugumoreira7731]

im in 8th grade.. and this is tough, im glad you helped me. you just won yourself a new subscriber :)

[@younglife88]

THANK YOU SO MUCH ,for your simplicity and step by step instructions.

[@xadeayox]

Thanks for the explanation. I'm really grateful for all your efforts and the explanation was excellent. I was able to learn and understand some things

[@potatodude77]

thank you so much. i couldn't find how to do the last example anywhere on the internet or my textbook. you just saved me hours of frustration!

[@karishmashrestha7292]

u were my saviour when i was in engineering college . i graduated and have decent job now . now i m doing economics and wanted to refer this hahaha time flies .. love from Nepal

[@kimjenluv9780]

its been 7 years and this is still saving grades thank you!

[@chahal6754]

I love korean people ❤️

[@lilm0odyangel]

@MrCapeVerde the amount of work to understand intermediate algebra is rewarding. i had to take it a couple of times to let the material sink in. i'm glad that i did, because it built a strong foundation when i took calculus. once the math clicks in your head, you'll enjoy the material a lot more. that goes to any subject once you understand it. and i agree, it takes a lot of time, but it's worth the "eureka!" moment. :)

[@rmartini8001]

Thank you so much for making your videos. This is one of the best explanations I have gotten in math.

[@SahajSoldier]

I should get a refund for my tuition and send it to you, you've taught me much more than my professor.

[@patrickjmt]

you are very welcome!

[@patrickjmt]

glad i could help :)

[@preciousplayz9582]

YOU HELPED ME ALT THANKS!!!

[@manmadehumann]

the world needs alot of people like you,thanks for being a great human.

[@patrickjmt]

@theninjadang my pleasure : )

[@loballa246]

You are ten times better than my math teacher, I feel like I should pay you!

[@XavAskan]

Thanks you just saved my life on my quiz tomorrow. Well I could only see the first problem done before getting confused by logarithms. If that's how you spell it. Anyway first problem is probably still sort of advanced, but I'm a high school freshman that's been in high school only for a few weeks... Anyway thanks for the help!

[@o0aDr0o]

nearing finals week, your videos have helped a bunch! thank you =D

[@Guineapig108]

Thank you so much! This was thousands of times more understandable than what my teacher showed me. :D

[@doctorlaughtor9884]

My teacher took an entire half hour to explain the FIRST part of the question and no one understood it, i came home, watched this and boom, understood it in 2 minutes, AMAZING!!!

[@GabrielSavageMusic]

Have you got any videos of examples of how to go about solving more advanced exponential/logarithmic problems? One I'm struggling with right now is "4x^3 * e^-3x - 3x^4 * e^-3x" - Any suggestions?

[@uspecl]

Math isn’t hard. The way it’s taught makes it, but you make it very easy. Thanks!

[@patrickjmt]

math is hard :) but i agree, the way it is taught (at least in the usa) is borderline tragic.

[@badboyj7]

dog i love.....been using these vids for 2 years now ...good bless you for helpin everyone help like this!

[@dhashennaidu6116]

Damn this was clear and concise. I literally needed to solve one problem and this was perfect.

[@RepaidChalice37]

This was very helpful! I'm in a junior math class and I want to be a chapter a head we are doing ln next unit but it's so much easier to find answers to exponentially this way than to plug in random numbers or go to the graphing calculator

[@katemcconnell5220]

Thank you so much!!!! I am studying for exams tommorrow and YOU are part of my cram session. I have exams in 7 hours. THANKS!

[@kennethgoldberg83]

If you need a decimal approximation please make sure that the ln 6 is entered ln(6). The calculator will provide the left parenthesis. We need the right one in the right place so that the calculator will know what the argument is.

[@siyabongasibanyoni6595]

Patrick is the reason, I passed maths way back in 2013 :)

[@dawudwaqas1116]

sir I just want to say that you have helped me succeed in math 3 and have ultimately heleped me succeed in becoming a heart sugeon.

[@maizeandblueheart]

Thank you! Your second example helped me a lot.

[@tim.e.l]

Thanks for the reminder. I completely forgot that you could just pull out the exponent when its in a log. I needed to calculate the number of rounds a tournament would have programatically and it is 2^x = y; where y is the number of teams. so x = ln(y)/ln(2). For 16 teams ln(16)/ln(2) = 4. Perfect!

[@safdarawn902]

bro 2021 and still helped me thanks a lot I am a programmer and the problem I was facing was I dint know how to do the mathematical equations work actually I googled it but didn't help and then your video came up and I solved my problem.thanks mate

[@jonathanyoe4189]

Hey...you are great! You have helped me numerous times. However, how do you get 24/5 and not 34/5 in the end? If you're adding, it is 34/5

[@velvet6094]

this vid from 2010 is helping me more than anyone 😩😩

[@patrickjmt]

glad it helped :)

[@christinekincaiddewey4791]

In example a, if you take log (base 3) of both side of the equation after you have converted both sides to base 3. Since logs are exponents, you are just left with the exponents equal to each other.

[@theolynwarrender]

Great video! Simple and straight to the point and well explained. Thanks man!

[@effie2857]

Hey, probably a daft question, but why can you multiply the ln4/5 and ln/6 just because they're being added together? Oh, and thanks for the video!

[@oZqdiac]

Because in logarithm rules log(a) + log(b) = log(ab) So basically when you add logarithms together you can multiply the two numbers in the logarithms together and make one logarithm with the product of those numbers. Also works for subtraction as well log(a) - log(b) = log(a/b)

[@youshouldprobablystudy]

I am in class 8...and this helped me a lot So thank you!

[@kayleen5646]

wow! your better than my math teacher. keep doing what your doing man

[@cassaregh4935]

I love your tutorials! It really help me a lot. Thank you!

[@SwedishSpeedstarMPS]

You are seriously a saviour. God bless you

[@Nikifuj908]

@patrickJMT For the example 2, would it make it faster just to take the log base 8 of both sides as the first step?

[@daughterofAthene]

I'm gonna thank you because you indirectly helped me solve an equation so thank you.

[@ap9758]

Thanks this helped me pass my final

[@ICampPhoenixNecklace]

Thank you...so much...I don't know how to express this! My teacher takes the whole class speeding through the whole process and makes no sense to me-.-. Once again thank you so much sir!

[@davidvalyo6288]

Thank you for an excellent video on how to do these exponent problem . Learned a lot.

[@gochieie4223]

Omg thank you so much 😭😭 problem a was very difficult to me and you made it so easy!

[@patrickjmt]

@DudeUForgotAmmo no, although i did have one paper published!

[@ohkabomb917]

Hello at 2:35. Can someone explain to me why we have to take the log of both sides to solve for x. Why can't we make it like log15 base 8 = x. What's the logic behind it? Thanks

[@roccoharris]

super clear & helpful!! thanks again.

[@saladking2370]

@4:07 does the X on the (4/5) go outside the LN bracket or does it stay on the inside? The X then gets moved to the front when the LN function is completed. Just making sure

[@abdulyoutub]

hi sir your method of teaching is fantastac and with patient, The only thing i suggest you please don't skip some step during writing because in this lesson i followed log and exponential very well but unfortunitly I was lost near to the end where you skiped 14 to divid etc without mentioning. for new learner it is hard to understand unless to see everything step by step. After all appreciat your hard work. In deed your help in website is a charity for those who wants to learn

[@w00kokjin38]

Juz solve my question with ur teaching, totally useful

[@Isrnkii]

THANK YOU SO MUCH u don't have any idea how much u helping me at this moment thankkk u

[@patrickjmt]

come back any time!

[@Isrnkii]

patrickJMT i’m sure i will 🥺🥺 thanks

[@yinhuang9510]

Love your video! Extremely helpful!

[@quienerestu8812]

Thanks i been stucked to one equation for 3 days thank u so much this video helps me a lot

[@binary8717]

Thanks dude! this will help me in my add maths exams tomorrow

[@alexandriacastaneda3966]

Logarithmic properties allow you to do that. Add and Multiply result in the same number. Subtract and divide also result in the same number. review your Log rules:)

[@MegaBigfatbob]

The best! Ty, always very helpful and very clear explanation :)

[@vasilisangel2360]

Lean & simple. Thanks!!! Helped me a lot!!!

[@patrickjmt]

why can you?

[@evedellyienna1357]

This teaches better than the text book tbh

[@micahellavivero6555]

6:25 why did you multiply it even if the sign shows addition? It's confusing, in my situation it is not addition but subtraction then how do i do this? Should i multiply it too? Or just subtract it?

[@patrickjmt]

you need to refresh yourself on properties of logarithms! there is a property/rule that says: ln(a) + ln(b) = ln(ab). it doesn't only work with ln only, but with any logarithms with the same base. you can search my channel for 'properties of logarithms' to get a quick refresher. i think i also have a video where i prove / justify these properties as well.

[@redfoxparadox2288]

When am I gonna need this in real life