❖ Logarithm and Exponential Equations ❖

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  • Опубліковано 26 гру 2024

КОМЕНТАРІ • 265

  • @wassermanization
    @wassermanization 7 років тому +16

    You're always there when I need you. Thank you.
    Sincerely,
    A Struggling Algebra Student

  • @evaperez1844
    @evaperez1844 12 років тому +2

    Math has always being my top favorite subject, but I have a math teacher that does not teaches and explains well and gets irritated very easily. She even make me to start hate math, but I am now able to have the precious feeling when I understand something in math, and it is all thanks to you. There are no words to describe my gratitude for making this videos 100% free because I will probably be failing my Pre-Calculus class. For me you are my math teacher, you rock! :)

  • @mikedane4293
    @mikedane4293 11 років тому +17

    These videos teach me more than my PhD professor, thanks man!

  • @THomasSnipes1181
    @THomasSnipes1181 14 років тому +1

    You have no idea how much easier you make my life. Thank you so much!! I watch your videos every time i do my homework, even if i know what i am doing, you always seem to make it more and more clear. God bless you..

  • @bronellek
    @bronellek 12 років тому

    dude, i actualy am starting to get this stuff. I sat in class for 2 weeks and don't get almost everything. I come home and watch your video and learn something. I dont think ive had a better teacher than you, i mean i can actually pay attention!!!!!!!! And for me thats a big accomplishment.

  • @purplefire5
    @purplefire5 12 років тому

    HONESTLY you have no idea how much you help me, my night school teacher RUSHES through things and sometimes even misses teaching us the fundamentals but i never freak out, i just zone out and look up your videos later lol you always have the topics i'm looking for and you answer any questions i have THAAAAAAAAAANNNKNK YOOOOOOUUUUUUU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

  • @cwmasta1
    @cwmasta1 12 років тому +1

    I really appreciate what you're doing for us! I've been on your channel all day studying for a test on Monday. I appreciate it!

  • @Sleptking994
    @Sleptking994 9 років тому +25

    the way you write is so satisfying

  • @emmay3982
    @emmay3982 9 років тому +2

    Thank you for posting this! I had forgotten how to do this so I watched this to review for finals. It was much easier to understand your teaching than what our teacher provided us with!

  • @aparrotslife
    @aparrotslife 15 років тому

    I have seven letters for you, PatrickJMT--A-M-A-Z-I-N-G!!! You just helped me get unstuck. I've been working on this subject matter for two hours and couldn't figure it out. After watching watching your video, however, I was enlightened. You took a very burden off my back. THANK YOU!!! You are a life saver! :)

  • @sstalder5
    @sstalder5 12 років тому

    Your videos are perfect. My major requires some math classes I really didn't want to take, but now I can just watch your videos the morning of the test and pass them easily! I've barely paid attention all semester and I still have one of the highest grades in the class thanks to you!

  • @THomasSnipes1181
    @THomasSnipes1181 14 років тому

    How many people watch these videos every time you do your homework?? I know i do, even if i know what i am doing you make me feel more confident with math, for that i could not thank you enough!! Your amazing Patrick keep it up!

  • @maybemaybs13
    @maybemaybs13 12 років тому

    I've been watching these videos to help me study for my precalc exam. you make things seem so much easier than my precalc teacher did. thank you

  • @filthsauce
    @filthsauce 13 років тому

    the value of having a teacher you can rewind is unbelievable

  • @patrickjmt
    @patrickjmt  14 років тому

    @finalshineag thanks! although i am not a professor (that is an earned title by teaching at a university!). let me know what else you want to see... i have lots of calc 2 stuff at this point, but let me know what is missing

  • @patrickjmt
    @patrickjmt  12 років тому

    @dereboll789 no, i figure they are in any textbook. they are not too terrible to derive, if you want some practice! i am sure you could find the justification with a google search as well

  • @patrickjmt
    @patrickjmt  13 років тому

    @DangerousPirate my table is fine and this is not a waste of paper. it is probably one of the most useful uses a piece of paper can have.

  • @dragooner4
    @dragooner4 13 років тому +1

    wait could u simplify the log so like
    2ln(x)=1
    >ln(x^2)=1
    e^1=x^2
    x=sqrt(e)
    or am i just making it more complicated

  • @micohuani5363
    @micohuani5363 7 років тому +12

    I love this guy. 4 hour math classes twice a week...I learn nothing. 10 minutes here and I'm Einstein

  • @LEEeunyoung16
    @LEEeunyoung16 12 років тому

    seriously, you're amazing. my teacher handed us hw without even teaching us any of this and i had totally forgotten how to do it! love love love your videos. thanks!

  • @emmacxoxo1
    @emmacxoxo1 14 років тому

    this was super helpful ! my teacher doesnt sufficienly explain how to do problems in class, and we're forced to look elsewhere...thank u soo much for putting up these video's and saving my pre calc grade :D

  • @Seattle206723
    @Seattle206723 14 років тому

    You know what I am at the end of 98 math and not one time has my book or the damn teacher showed me this method. My God people. Thank you patrickJMT..

  • @ebenygraves
    @ebenygraves 13 років тому

    thank you for doing these videos. i got an excellent grade in prealgebra, and now working with college algebra. thank you so much for helping us with a difficult subject. glad you are doing it. i'd be lost otherwise!

  • @angies5577
    @angies5577 4 роки тому +1

    Dude you're a gift from the sky fr

  • @patrickjmt
    @patrickjmt  14 років тому

    @liverbird66 What sound does a tree make if you hit it with a drumstick? A logarithm.

  • @patrickjmt
    @patrickjmt  12 років тому +1

    math takes time! it is a tricky subject; glad i could help you a bit though!

  • @CaseyKurtyka
    @CaseyKurtyka 16 років тому

    Well, I left my notebook home for a take home assignment. I waited to today to do it (we left school dec 21st, it is now jan 5th) so I'm very grateful for your video!

  • @patrickjmt
    @patrickjmt  12 років тому

    doooooh, i can not believe i did that. i put some annotations in just now pointing out the mistake. thanks for bringing it to my attention.

  • @zThisPlay
    @zThisPlay 13 років тому

    @patrickJMT the reason y u r such a good teacher is because u r not jst a mathematician ur a philosopher !

  • @patrickjmt
    @patrickjmt  13 років тому

    @ilovemysunshine09 yes, i rarely got stuff the first time around!

  • @zxBOYERxz
    @zxBOYERxz 14 років тому

    I just thought i should tell you that your a boss! i have a math test tomorow and i only understood like half the stuff, but thanks to you i might just pass algebra 2. Muchas Gracias amigo!

  • @archnoriega
    @archnoriega 14 років тому

    Thanks for being very cool and teaching out of your own time! You Rock!

  • @ASAGAMA1
    @ASAGAMA1 14 років тому

    In the last example we must reject the negative solution. Great job!

  • @patrickjmt
    @patrickjmt  13 років тому

    @archerb88 n + 9 = 4n, and check your solutions

  • @Aquateen1984
    @Aquateen1984 13 років тому

    Thank you, you have helped me immensely in pre calc

  • @njtxconnect
    @njtxconnect 14 років тому

    Thankyou...you helped me through the whole semester of college algebra :)

  • @nzfezzpop1
    @nzfezzpop1 12 років тому

    A good 1000 degrees can be partially attributed to you. Thank you for such clear and concise tutorials

  • @patrickjmt
    @patrickjmt  16 років тому

    you are very welcome!

  • @acash93
    @acash93 15 років тому

    Thanks for showing the second property!!! My school textbook didn't show the second one.

  • @girlwonder6142
    @girlwonder6142 10 років тому

    These videos have helped me so much, it's ridiculous! Thank you!

  • @GuardianDiancie
    @GuardianDiancie 13 років тому

    I can't remember ever doing logarithms in high-school (the teacher would start from Ch. 2 and by the end of the year, we'll be at just chapter 12.5 and the log, sin, tan, cos amd functions would be in the next few chapters.
    Your a great teacher,any subject in Math I have problems with, I always end up watching your videos

  • @wintez
    @wintez 15 років тому

    btw the first question or example (2 LN x = 1) u gave i am not understanding the step in which u go (e ^log e X = e^1/2)
    can u only raise it by e with cancellation or using the Base term of the logarithm?

  • @TheGirlie7
    @TheGirlie7 15 років тому

    Thanks so much! I just started Precal but I was needing to brush up on my Algebra II stuff.

  • @wheresmyjello
    @wheresmyjello 12 років тому

    for the very beginning, does the base and the "bigger a" have to be equal? if not, which is becomming the base?

  • @patrickjmt
    @patrickjmt  14 років тому

    @THomasSnipes1181 glad that the videos are helping : )

  • @cfonangel
    @cfonangel 13 років тому

    u are my favorite teacher on UA-cam :)

  • @LeemoClarke
    @LeemoClarke 16 років тому

    Thank you! These videos are amazing... they help so much! Keep it up!

  • @melissabby91
    @melissabby91 11 років тому +1

    Love your videos they help
    More then my professor does! Thanks (:

  • @cowsthatdonotmoo98
    @cowsthatdonotmoo98 11 років тому

    How do you know you have arrived at the answer? Like whether you need to expand or simplify any further.

  • @stellarXbell
    @stellarXbell 15 років тому

    this is amazing. i should have watched this vid before i took my log test. you rule.

  • @patrickjmt
    @patrickjmt  12 років тому

    thanks! glad the videos helped :)

  • @AlienRelics
    @AlienRelics 14 років тому

    That was a bit confusing, I'm listening at work as I can't watch it nonstop. Your words said "e to the e is e" but you wrote "e to the e is x".
    Keeps me on my toes! Thanks for the videos.

  • @cbjueueiwyru7472
    @cbjueueiwyru7472 13 років тому

    @DangerousPirate an economist would say "cost of paper

  • @worldpeace4bugs
    @worldpeace4bugs 12 років тому

    I have a question:
    you talk about the variable e, is that supposed to be italicized? It's hard to explain but my teacher talked about this special variable e, which stands for a number. I don't have very many details because the reason I'm watching vids on this is I don't reallyunderstand it. Do you have a video on this? the special variables (as I call them) e and LN?
    thank you!

  • @patrickjmt
    @patrickjmt  13 років тому

    @meljeanli8888 no, i am back to paper.

  • @theaterhobo
    @theaterhobo 15 років тому

    you explain everything so . . . well. idk how to explain it.
    but, on the part where you used the quadratic formula, could you explain more how you made the sign positive after substituting negative e? i dont understand how you did that without it effecting the 2.

  • @Bankaiboi47
    @Bankaiboi47 14 років тому

    Once again, this is really great! I had to refresh my mind on logs again. You may not be a professor(reading other comments), but are you a teacher? You teach it so simply. Because teachers can teach, not professors, their not technical certified teachers. My professor is foreign, so i dont know what he says most the time :/ Thanks Again though!

  • @patrickjmt
    @patrickjmt  14 років тому

    @Negronigganigga i do what i can. thanks for the kind words.

  • @patrickjmt
    @patrickjmt  16 років тому

    no problem! glad it helps : )

  • @unspoken314
    @unspoken314 13 років тому

    @patrickJMT i think what DangerousPirate means is that you're wasting paper when the permanent marker bleeds through to the next sheet. if you put a piece of cardboard under the piece of paper you are using, it can bleed onto that and not onto the next sheet of paper, therefore saving paper.

  • @killazerg1
    @killazerg1 12 років тому

    I just want to add a comment about the answer for the last problem. The answer you wrote down is only half right. Although the quadratic equation does give us a plus or minus solution, only the plus is used because a negative answer is undefined for a ln equation
    Hope this helps anyone reading...
    Also, amazing videos. You are literally my second professor. Is there a way to buy your videos for DL or DVD? I can use these videos at school on a portable DVD player

  • @TheSuperstardude
    @TheSuperstardude 15 років тому

    i love u patrick. u r the best teacher in the world.

  • @patrickjmt
    @patrickjmt  13 років тому

    @pianoplayindrummer33 thank ya : )

  • @AlderDragon
    @AlderDragon 12 років тому

    Thanks patrickJMT. What if you have an equation such as... 3 + ln(x) = e^(2x)? Or what about the form x^x = n; or similarly, x*ln(x) = n? I've played around with this and, from what I could dig up (my teachers were of no use), it is solved by what is called a "product log" or the Lambert W function. I'm only in Calculus 2, but I'm very interested in how that style of problem is solved. Is it a brute-force "squeeze theorem" type approach? I know it can't be done algebraically.

  • @lapiyajeammy
    @lapiyajeammy 8 років тому +2

    I learn more from you than my math professor. hahahahaha :) still he's a good professor.

  • @karenjimenez
    @karenjimenez 13 років тому

    i truly do appreciate your help thanks!!

  • @raliku100
    @raliku100 14 років тому

    great video..what's missing is the connection between inverse functions and natural log functions..please update if u have time. thanks

  • @ryenlopez7412
    @ryenlopez7412 12 років тому

    can you show us how the mantissa of such number computed i wonder how it had arranged in the table . . . . . thankyou

  • @zukilegwebityala7313
    @zukilegwebityala7313 7 років тому

    Thanks sir a lot particularly on that indication of negative sign in logs.

  • @Lintyful
    @Lintyful 12 років тому

    Thanks alot for all your lessons.

  • @WoShiDavid95
    @WoShiDavid95 14 років тому

    This is going to help me in my upcoming higher mathematics test.

  • @BrownFlip7852
    @BrownFlip7852 13 років тому

    i hope you're getting paid for this because you definitely deserve it

  • @Draven84
    @Draven84 16 років тому

    well, that isn't done easily by hand, supposedly you have access to a graph calculator which can solve that value for you. You can also use it to estimate the value by reading it off a graph where
    y = 10^x and check it for x = 2

  • @youlosez
    @youlosez 15 років тому

    good job! This damn test is all about memorizing these rules!

  • @stephencoooooool
    @stephencoooooool 11 років тому

    could explain the properties also? proof or just a little info on how it derived. for example, how is a^log(base a)x=x? the second cancellation law.

  • @AngusTaoHuang
    @AngusTaoHuang 12 років тому

    You are very very brilliant!!! Thanks for detailed explanation.

  • @jackinthebox4934
    @jackinthebox4934 11 років тому

    Thanks man, these are great examples.

  • @patrickjmt
    @patrickjmt  13 років тому

    @filthsauce yes, i think it really is a good method of learning material - your own 'personal' teacher

  • @Rantofthings.
    @Rantofthings. 7 років тому

    Ok so why did u divide both sides by two ? in the 1st example.?

  • @Xetreaux
    @Xetreaux 13 років тому

    You teach how my Algebra I teacher taught. By example. I find it to be the most effective method.

  • @patrickjmt
    @patrickjmt  14 років тому

    @archnoriega just doin' what i can

  • @patrickjmt
    @patrickjmt  14 років тому

    @PatrickAndHisLSD yes, but where is my lsd? i did just buy a san pedro cactus... now just gotta wait for it to grow bigger!

  • @28switangel
    @28switangel 12 років тому

    Hey ur videos are so helpful, just wanted to ask you if you could do a video on solving logarithms equations but with different bases, i don't understand this only part of logarithms, Thanks
    Cheers

  • @clarkjason7501
    @clarkjason7501 11 років тому

    OMG PatJMT YOUR MY BEST MATH TUTOR Ever :D Its like i can understand what youre saying not like my teacher -_-

  • @larissasenga5183
    @larissasenga5183 6 років тому

    When do you know to use e or log of e?

  • @kikbxr94
    @kikbxr94 13 років тому

    ty, but i dont understand why did u divide by 2? can you do that? i thought you cant and you had to raise the 2 as a power so Lnx^2 = 1. Ty

  • @chriscamacho3365
    @chriscamacho3365 10 років тому +1

    what if for example there was a Constant infront of e? ex; (2e^3x-5=7) would that change anything?

    • @YAHOOOOOO5
      @YAHOOOOOO5 8 років тому

      yeah. that's my problem too.

  • @patrickjmt
    @patrickjmt  12 років тому

    i mean, that is like saying a = b , but b is not equal to a.

  • @cutekitten12
    @cutekitten12 14 років тому

    lol nice drawing at the end, and these vids are great!

  • @mathstaylor8786
    @mathstaylor8786 5 років тому

    does log how many logs base 2 to make 8 is 4 and ln 4 is the e to the base 2?

  • @cirjeex6412
    @cirjeex6412 4 роки тому +1

    so it would be wrong to factor out the ln, and have ln(2x+1+x)?
    that's what I did at 6:05. smh

  • @carloschowell
    @carloschowell 12 років тому

    Hello! you're videos are very helpful. However, I am not able to solve this log equation:
    ln(1/3^1/4)=x. Since the x is already out I guess I cannot use any of the cancellation laws. I really don't know how to do it. Can you please help?

  • @OneLakerNation
    @OneLakerNation 7 років тому

    For the last problem I got x equals e/3. because I square rooted the 2 numbers with power of 2....is that wrong?

  • @theboywhogotlost
    @theboywhogotlost 15 років тому

    Awesome thanks for the help!!! ur an invaluable teacher!!!

  • @patrickjmt
    @patrickjmt  14 років тому

    @zxBOYERxz i hope the test went well

  • @bryfryable
    @bryfryable 13 років тому

    wait, in the first problem why dont you take the number 2 and turn it into an exponent? to make it ln x square= 1

  • @patrickjmt
    @patrickjmt  16 років тому +1

    excellent! tell a friend or two about my wonderfully helpful vids!!! : )

  • @granmisticoful
    @granmisticoful 8 років тому

    why was the solution for the first example √e?

  • @fbigeneralz
    @fbigeneralz 16 років тому

    nice vids, i never learned that you could just set both sides as powers of e. i wonder why?

  • @TVBurek
    @TVBurek 11 років тому

    My math teacher sucks....wish i had you....explains a lot to me thanks