Solving Exponential Equations - Some Basic Examples
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- Опубликовано: 5 сен 2024
- Thanks to all of you who support me on Patreon. You da real mvps! $1 per month helps!! :) / patrickjmt !! Just a video showing how to solve for ' x ' in some cases, if ' x ' happens to be an exponent. A few different examples. For more free math videos, visit: PatrickJMT.com
Uploaded 10 years ago. Still helping people like me getting through exponents easier. You deserve way more views for this simple but helpful video.
Yeps!
@@gianchand8272 22
She is a tran of a lot more to gooooooooooooooo than that I am a good
12 years now lol
@@thewilmarvelfannow 13
Knowing that some of you guys do this in college gives me hope that It's not too late to catch up in maths
Im doing this in 7th grade
no youre not
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...
STOP LYING, Im in a AP program and seeing this in grade 10 lmao
in the uk they do this in year 7 what with the new 9-1 its in the syllabus now......
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
How did they go?
i also have mine tomorrow
noobkilas yomumgei and mine tomorrow 😂
Funny Randomz i have mine today
@@markcox8256 that is a 6 year comment dude!
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 :)
Are u still alive
11 YEARS AGO. ITS UNBELIEVABLE HOW INFORMATION NEVER GETS OLD.
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!
Much better than my teacher
In fact, most of the teachers can't explain math well.
Fr lol
Every week you save my ass come test day. Once again, Great videos and super clean and coherent explanations.
I wish math teachers could explain things so easily, great video!!
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
+Priscilla Terriquez Pleasure
hi darling you understood then you teach me
You my friend, have my deepest and upmost thanks for this video
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!
Thank you so much for this, think I've learnt more here than in 2 hours of class
Bro, I'm finally in college after 15 years. You just saved my ass.
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!
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.
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
Your videos are going to make my exam a little less painful. Thank you so much for sharing your knowledge!
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.
Before this video, I had no idea what the "ln" thing was, but after watching this, I fully understand it. Thank you SO much!
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!
Bro I just liked your comment from 10 years ago
@@fishing10ooquu lmao same
part of history
@@zelmayjan1267 epic bro
@@fishing10ooquu ye
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!
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)
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
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!
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.
You're very welcome!
Thanks for the refresher, it's been about 18 years since I used logs this video is a huge help! Thanks!!!
glad i could help :)
YOU HELPED ME ALT THANKS!!!
the world needs alot of people like you,thanks for being a great human.
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!! :)
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?
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
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!
happy to help :)
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!
you are very welcome!
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!
THANK YOU SO MUCH ,for your simplicity and step by step instructions.
Great video, one question ! How would you know whether you should use a natural log or common log ??
You can choose either one it's personal preference.
Why are you so awesome!! My teacher fails at teaching, but you are saving my life (:
Awesome Explanation! Clear as the Spring sky! You Rock! I don't understand how come some people don't like this video?
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.
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!
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
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
are u still alive
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.
Patrick, I'm from Singapore. We have to pass Mathematics before we can proceed to College. I've failed it twice. This year I'm studying alone and have hired a tuition teacher because I can't enrol in a school anymore. Do you have any tips on how I can study? You seem to be very good in Math and your videos are helping me :)
It's been 4 years.... how did everything turn out?
@@adonis6766 I passed the exam on my third time studying it alone :)
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.
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.
I should get a refund for my tuition and send it to you, you've taught me much more than my professor.
super clear & helpful!! thanks again.
Your last example saved my life, I was looking everywhere for an explanation for that type of equation. Thank you!
hey are u stil alive
@@ninjapirate123 yeah, lol. I remember when this was hard.
@@happinessrunns Now since you've gotten older u find this very easy
@@happinessrunnsu still alive in the year 2024?
im going to kumon tomorrow and i dont really knwo what topic to review for the placement exam.
what is the last topic for the exam?
Thank you for this video. It was really helpful. I do have a question though. What should I do if the equation is: 1.6x=0.8x?
Damn this was clear and concise. I literally needed to solve one problem and this was perfect.
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
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
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!
I am in class 8...and this helped me a lot
So thank you!
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
You are ten times better than my math teacher, I feel like I should pay you!
Thanks for the help man. Very generous. You seem to have a video for all my math problem needs
Hi Patrick, great videos! Now, I have a quick question for you or anyone here.
What is the value of "x" in the following equation?
3(5)^(2x-1)=18
first divide both sides by 3 , the result is
(5)^(2x-1)=6
then take the log in both sides
(2x-1) log 5 = log 6
then divide both sides by log 5 , the result is
2x-1=1.11328
add 1 and by 2 in both sides you will get
x=1.05664
@bryfryable didnt rewatch but my guess is: no
Thank you! Your second example helped me a lot.
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.
Thank you so much! This was thousands of times more understandable than what my teacher showed me. :D
for the second example would log base 8 of 15 =x be correct as well?
Prithvi B yes
yeah, that works
organic chemistry tutor & patrick jmt are the best math youtubers they really help me out a lot
Your videos are always so helpful!!! I just have one question, I have a test in 4 hours and I wanted to make sure if it is possible to get a negative x in one of these equations , cause I was doing an example and not sure if you can get negatives????
lol how did the test go? (also for anyone wondering, if the x is negative then just divide both sides by -1 :))
this vid from 2010 is helping me more than anyone 😩😩
glad it helped :)
Hi PatrickJMT
l love your channel. But I still have some problems can you help me out
with this equation. If (√2)
^× = 0.9, solve for x correct to 3 decimal places.
@patrickJMT
For the example 2, would it make it faster just to take the log base 8 of both sides as the first step?
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!!!
Thank you so much for making your videos. This is one of the best explanations I have gotten in math.
nearing finals week, your videos have helped a bunch! thank you =D
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:)
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
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!
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!
its been 7 years and this is still saving grades thank you!
I love korean people ❤️
for the 3rd example u added x*ln(6) to both sides....then when disrutubting what happned to that x, there was only one x instead of 2......can u plzzzzzzzzzz clearfy i need to understand this
factoring out the x. Since you have an x in both sides of the equation you can put it "outside" with a parenthesis.
im in 8th grade.. and this is tough, im glad you helped me. you just won yourself a new subscriber :)
I'm only starting on these and have no idea what logrithums are. Could someone explain how to get a decimal answer from Q2 without using logrithums?
@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. :)
When am I gonna need this in real life
I'm gonna thank you because you indirectly helped me solve an equation so thank you.
Math isn’t hard. The way it’s taught makes it, but you make it very easy. Thanks!
math is hard :) but i agree, the way it is taught (at least in the usa) is borderline tragic.
Thanks this helped me pass my final
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?
Can you use log instead of ln to solve for b and c
Great video! Simple and straight to the point and well explained. Thanks man!
Apologies if this was already asked, but in the last problem, last step, you had:
x = ln(6) / [ln(4/5) + ln(6)]
wouldn't the two (ln6)s cancel? leaving x = 1/ln(4/5)?
Also, thanks for posting all these videos, they're definitely helping even though I still get confused occasionally.
Would you lose marks if you don't simply the last answer to log base 24/5 of (6)? Or it doesn't matter?
Thanks dude! this will help me in my add maths exams tomorrow
dog i love.....been using these vids for 2 years now ...good bless you for helpin everyone help like this!
@theninjadang my pleasure : )
Is there a formal name like a property of some sort why we just write the exponent as equal to each other when they have the same base?
You are seriously a saviour. God bless you
I love your tutorials! It really help me a lot. Thank you!
glad i could help :) come back any time!
Thank you for an excellent video on how to do these exponent problem . Learned a lot.
Juz solve my question with ur teaching, totally useful