Logs Everything You Need to Know

Everything you need to know about logarithims is covered in this free math video tutorial by Mario's Math Tutoring. We discuss:
0:25 What is a Log?
1:08 Changing from Log form to Exponential Form
4:09 Switching from Exponential Form to Logarithmic Form
5:47 Evaluating Logarithms
8:35 Graphing Logs
11:56 Properties of Logs
14:01 Expanding Logs
16:35 Condensing Logs
17:39 Solving Exponential Equations using Logarithms
18:37 Solving Logarithmic Equations
Related Videos:
Playlist of Log Videos
• Logs Series of Videos
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Пікірлер: 380

  • @MariosMathTutoring
    @MariosMathTutoring4 жыл бұрын

    If you liked this video I think you will benefit from my Algebra 2 Final Exam Review video...check it out here: kzread.info/dash/bejne/iamgyK6Olt2albQ.html

  • @debarshiroy2939

    @debarshiroy2939

    2 жыл бұрын

    What is asymptote? ? Each time I get stuck in this

  • @HH_Vision

    @HH_Vision

    Жыл бұрын

    @@debarshiroy2939 im sure you know by now but its a line where a value cannot touch the x asymptote like 2/x-3, x cannot equal 3 because we cannot divide anything by 0 so we have a vertical asymptote of x=3 and the rational function will never touch 3 but approach it as much as it wants but will never cross nor touch it

  • @arnav9524

    @arnav9524

    Жыл бұрын

    @@debarshiroy2939 it's where a function cannot cross, and gets really close but never touches the "invisible" line

  • @TheFlax33

    @TheFlax33

    Жыл бұрын

    Very learning experience. Wish I had you teaching me in the mid 80s. Thanks

  • @roselynjoseph-iw1sw

    @roselynjoseph-iw1sw

    Жыл бұрын

    I love it❤

  • @jfthesixth8420
    @jfthesixth84206 жыл бұрын

    I've searched all the corners of youtube in seaarching log functions. I've learned literally zero from my teacher then I came across THIS GOLD. Well explained and thank you for covering almost everything my teacher taught that i haven't understand. If only you realize how many students you're helping and giving a chance to ace a test ! THANK YOUU!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    Your welcome! Glad my video helped you understand logs better and good luck on your test!

  • @samburdge9948

    @samburdge9948

    Жыл бұрын

    You do good work Mr. Mario

  • @annaortiz704

    @annaortiz704

    Жыл бұрын

    why is this the truest thing ever. litterlay been struggling because my teacher doesn’t explain anything. SO YES GOLDDD🎉

  • @skybanned

    @skybanned

    Жыл бұрын

    W pfp

  • @user-ht4of2pj9t
    @user-ht4of2pj9t2 жыл бұрын

    you taught this to me in 15 minutes better than my math teacher has in 3 lessons, thank you so much you're a life saver

  • @jonathand3655
    @jonathand36555 жыл бұрын

    In under 3 minutes this gentleman explained what a log is after going through countless teachers WHO NEVER once bothered to explain wtf it is in the first place. I'm shocked. I'm realizing that just learning the conceptual reason for every topic in math boosts your understanding easily twice as much.

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Glad you liked the video Jonathan!

  • @maskedmarvyl4774

    @maskedmarvyl4774

    Жыл бұрын

    The teachers are supposed to teach the concepts. Unfortunately, almost none do. They assume you already understand the concepts and all of the terminology to begin with. That's why almost all math and science teachers fail to teach.

  • @tracieirvine437
    @tracieirvine4375 жыл бұрын

    Thank you so very much! After over 30 hours trying to learn this stuff, you taught me in 20 minutes!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Awesome! I’m so glad my video helped you Tracie!

  • @Benhutchie22386

    @Benhutchie22386

    2 жыл бұрын

    @@danobody1113 😑

  • @ayahassan2719
    @ayahassan27195 жыл бұрын

    Literally more than a year after but this video still helps others. Thank you so much for putting time and effort into this video. You helped me so much it’s crazy. I’ve understood that video from the first time didn’t need to rewatch it (but I still did) because you sir is great at explaining it. Also thank you for using multiple examples and actually explaining why and how you got there. That was really helpful and I’m a happy student.

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Glad my video helped you Aya!

  • @Mohit-ui7vp
    @Mohit-ui7vp3 жыл бұрын

    I wish you and Brian McLogan were my math teachers. You guys are great and explain things so well. Thank you so much!

  • @Big_Keith_Kahuna

    @Big_Keith_Kahuna

    2 жыл бұрын

    Brian McLogan is the man!!

  • @mauriciolara4288
    @mauriciolara42882 жыл бұрын

    I am 35 years old and I am about to take my placement test to get back into college to finish my engineering degree. your class was so nice I was able to remember and memorize what I have forgotten. Thank you. I will check and see if you have calculus classes.

  • @FandomEditsTrooper
    @FandomEditsTrooper Жыл бұрын

    I have never understood logs for years and years of being taught logarithms through high school and college. Yet somehow, this guy accomplished the impossible. Thank you so much for this video, I feel like I actually understand logs now!

  • @maskedmarvyl4774

    @maskedmarvyl4774

    Жыл бұрын

    That was because your teachers made a simple concept incomprehensible. They assumed you already understood all of the concepts, the terms, and formatting. In other words, they taught as if they were reviewing the subject, not as if the students were learning from scratch. Which is what most math teachers do.

  • @betajohhny4466
    @betajohhny44662 жыл бұрын

    As an 8th grader going into 9th grade and alg 2, THANK YOU SO MUCH, LIVING LEGEND!!!!

  • @ohxrn2029
    @ohxrn20296 күн бұрын

    This man taught me more in 20 minutes about what logs are used for and how to do them then my entire pre calculus course did

  • @tinkernoggin3667
    @tinkernoggin36673 жыл бұрын

    10:35 is when I finally understood everything! this is probably the most informative video all about logs out there. Thank you so much for such a clear and concise video, Mario!

  • @Theofficialdhan
    @Theofficialdhan6 жыл бұрын

    Quite possibly the best video I've seen on Logs. Thanks Mario! Keep up the good work!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    +Raj Hiralal your welcome! Glad you liked my video!

  • @princesseroles564

    @princesseroles564

    3 жыл бұрын

    Super agree! Glad I've come to this yt vid ❤️

  • @jerrysmith9780
    @jerrysmith97803 жыл бұрын

    I can't believe you don't have a million more subscribers. Your content is excellent and your presentation is so easy to follow. I can tell you're a tutor. You put this in very easy terms with a very approachable feel. Thanks man, for the time you took to make these videos, they are a huge help to me so I can help my son.

  • @Coco-Loco
    @Coco-Loco4 жыл бұрын

    You must get "It's a me Mario" a lot.

  • @jelome_x
    @jelome_x3 жыл бұрын

    Hey Mario, you are of the the best Math instructor I've come across. Thank you for your simple way of teaching Math. I love this particular video.

  • @benjaminvarner3765
    @benjaminvarner37653 жыл бұрын

    I'm watching this one hour before the test, I'll report back on how I did soon!

  • @anshuman8147

    @anshuman8147

    3 жыл бұрын

    Soo how did it go?

  • @AdityaKumar-rs3lc

    @AdityaKumar-rs3lc

    3 жыл бұрын

    @@anshuman8147 ikr

  • @thedmitryguy

    @thedmitryguy

    3 жыл бұрын

    Soo how did it go?

  • @benjaminvarner3765

    @benjaminvarner3765

    3 жыл бұрын

    @@thedmitryguy Good, A- :)

  • @hockey_girl_21
    @hockey_girl_213 жыл бұрын

    This is THE video to watch for logs, folks! Thank you, Mario! Can't wait to check out your other videos!

  • @Big_Keith_Kahuna
    @Big_Keith_Kahuna2 жыл бұрын

    Seriously. Straight to the point from basic concept to nuanced variants in a rapid fashion we can all follow along with. Why can't all teachers just make sense like you and Brian McLogan!?? Others just like to hear themselves talk and show-off.

  • @manakiaha1261
    @manakiaha12616 ай бұрын

    you are the backbone of my college math education right now... I just want to say thank you so much!!!!!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 ай бұрын

    Happy to help!

  • @mattiamarchi1182
    @mattiamarchi1182 Жыл бұрын

    I am a student from England, I'm studying A-level course. As logs and ln was my weak point, you have helped me through the confusion and your video was much more clearer than some of the British teachers' videos. Thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    Great to hear!

  • @johnworthington4556
    @johnworthington45562 жыл бұрын

    You make things clear, concise, and simple. Good job.

  • @nicholasnopper6194
    @nicholasnopper61943 жыл бұрын

    Thanks, man! This is my savior whenever I don't understand my math and these videos are the best on youtube. I really appreciate your teaching style and the dedication you put into these lessons and videos

  • @fortimusprime
    @fortimusprime3 жыл бұрын

    Absolutely amazing style of teaching! I was scared at this topic when I read it on my Pre-Calculus book but you made all of this clear in less than 21 minutes!!! And now I am going to take the quiz with confidence! Thank you so much!

  • @onaleronamakhaza4931
    @onaleronamakhaza49313 жыл бұрын

    Sir , you blew my mind! This is so well done . A true hero .

  • @turkeylegs8314
    @turkeylegs8314 Жыл бұрын

    I was going to watch the 5 20 minute videos my teacher set out for me which took forever to make sense of. Instead, I found this. This saved me 4 hours of sleep.

  • @harrydobell9629
    @harrydobell96292 жыл бұрын

    Was trying to figure out how to do this for hours yesterday followed along with this video and got it in like 30 mins. It's odd to me how only certain people can teach things with such clarity to me and I can understand near-instantly whilst others I can listen for hours and not fully understand. And I would suspect that this happens to other people with other teachers, KZreadrs etc. Just wanted to mention that you're that person to me and I appreciate all the videos you upload as they have helped me along with others I'm sure various times over the years.

  • @zappinapplez
    @zappinapplez2 жыл бұрын

    i love the way you teach! im not in algebra two anymore, but i needed this review for pre cal and it was excellent! you’ve earned my sub and i’ll definitely come back for more if or when i need it!

  • @pauldenino3194
    @pauldenino31946 жыл бұрын

    I just found your channel and I would like to extend my deepest thanks to your great work. I love your very clear explanations and you also do not bother with unnecessary and verbose explanations written on the board. Thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    Your welcome Paul! Glad you are liking my videos and channel!

  • @matthewmyslenski2712
    @matthewmyslenski27122 жыл бұрын

    Thank you so much! I just started AP calc and used this to review logs. Now everything makes sense!

  • @sohilshah8090
    @sohilshah80902 жыл бұрын

    This is one of the best math videos or if not THE best math video I have ever watched. Thank you so much!

  • @jediknight9371
    @jediknight93712 жыл бұрын

    Thank you! My teacher taught 10 logarithm classes and that’s all in your 20 minutes video. Gosh, I finally understand log.

  • @nenemoko466
    @nenemoko4664 жыл бұрын

    I would have watched about 6 20 minute videos In order to learn what you just taught me well in one 20 min video. Tysm for this, ur amazing! Hope ur having a great day.

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad my video saved you time and helped you!

  • @nadineamr9372
    @nadineamr93722 жыл бұрын

    You're amazing man my favorite math channel!! Always coming back for reviews ^^

  • @neillasrado9971
    @neillasrado99715 жыл бұрын

    Why aren't you more popular? This is amazing. Thank you so much

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Good question Neil! Maybe you can help me spread the word about my channel (only if you want....) glad you like my videos and they are helping you!

  • @mirnacervantes6868
    @mirnacervantes6868 Жыл бұрын

    This has been the best explanation I've seen so far. Thank you!

  • @tomjohnstone3867
    @tomjohnstone38673 жыл бұрын

    This is an amazing video! You packed a lot of information in to 20 minutes but were still very clear.

  • @amramjose
    @amramjose2 жыл бұрын

    I needed a review, specially from a teacher who can explain the basics very well. Thanks, Prof Mario.

  • @WineSippingCowboy
    @WineSippingCowboy2 жыл бұрын

    As a review, this video is more helpful in explaining the components and reversals than many videos I watched. Many of them took too much time in explaining. Other videos missed details. Great job!👍

  • @MrVoayer
    @MrVoayer8 ай бұрын

    This is "All in One" video to logarithms with many important concepts covered. All that remains is practice ! Well done !

  • @MariosMathTutoring

    @MariosMathTutoring

    8 ай бұрын

    Glad you liked it!

  • @postingbmwm3
    @postingbmwm33 жыл бұрын

    Wow! Thank you so much. That was very well explained and faster than most videos I stumbled across.

  • @chiripaxa
    @chiripaxa3 жыл бұрын

    Thank you! this is a wonderful summary of what's going to be on my test after tomorrow so this is perfect!

  • @zohasyed4905
    @zohasyed49053 жыл бұрын

    I have my university admission test tomorrow and this was possibly one of the most helpful videos I've watched. Thank you so much!!! you explained everything so well rather than complicating stuff.

  • @MariosMathTutoring

    @MariosMathTutoring

    3 жыл бұрын

    Glad my video helped you Zoha! Good luck on your admissions! Let us know how it went.

  • @karaschmidt5310
    @karaschmidt53102 жыл бұрын

    This video has helped me tremendously. It's exactly what I needed. Thank you so much!

  • @BeMyVforever
    @BeMyVforever2 жыл бұрын

    WOW, I was struggling so much with logs but you've really helped. I will make sure to review this video and make notes on it! Thank you

  • @tiffanyf4397
    @tiffanyf43973 жыл бұрын

    wow this is amazing, you taught it so fluidly and easily! i understood everything so well-- you told me everything my teacher didn't. thanks so much , king!

  • @maskedmarvyl4774
    @maskedmarvyl4774 Жыл бұрын

    My high school math teacher made this simple concept incomprehensible, with muddled explanations, refused to explain the underlying concept, the definition of the terms she used, and of course never gave a practical application of it. She taught it exactly as if we already understood the concept and applications, and were simply reviewing it. Which is why most math teachers fail as teachers. This also applies to physics teachers and chemistry teachers, who do exactly the same thing.

  • @moltenflames1750
    @moltenflames175011 ай бұрын

    These comments really show how much the education system needs to improve, and how this guy proves its possible!

  • @sunzahraliburdbanks9299
    @sunzahraliburdbanks92996 жыл бұрын

    Great explaining!!

  • @MariosMathTutoring

    @MariosMathTutoring

    6 жыл бұрын

    Glad you liked the video!

  • @quantumman1910
    @quantumman19102 жыл бұрын

    Very helpful. Thank you for the upload!

  • @martinsjuniorbanda9923
    @martinsjuniorbanda99235 жыл бұрын

    Well simplied sir!!! Keep up with your good explanations!!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    Glad you like my explanations!

  • @user-tl3pt9ux7k
    @user-tl3pt9ux7k4 ай бұрын

    get an award soon please this is great

  • @aleksaurevic6895
    @aleksaurevic68953 жыл бұрын

    Very good and easy to follow, to both learn and revise, I’m amazed!

  • @bobfredriguez6870
    @bobfredriguez68705 жыл бұрын

    I'm studying for my college Precalc final and honestly this video was so so helpful. Logs finally make sense, thank you!

  • @MariosMathTutoring

    @MariosMathTutoring

    5 жыл бұрын

    You’re welcome Bob! Good luck on your Precalc final!

  • @tamirtumurbaatar4614
    @tamirtumurbaatar4614 Жыл бұрын

    finally got this, esp the graphing log. ty bro!!!

  • @pithlyx9576
    @pithlyx95762 жыл бұрын

    Great video. Helped me out straight to the point and just before a test.

  • @Golden_Tortoise
    @Golden_Tortoise2 жыл бұрын

    Waw, what a great overview! You have really captured a lot in 1 video

  • @carmenledesma4380
    @carmenledesma4380 Жыл бұрын

    Amazing video!!! So clear and easy to understand👏🏻👏🏻👏🏻

  • @neonlisterine398
    @neonlisterine3983 жыл бұрын

    you're a legend mario

  • @lolnoob6142
    @lolnoob61423 ай бұрын

    THIS HELPED SO MUCH! ILY

  • @nicolahamman9784
    @nicolahamman97842 жыл бұрын

    You explain so well! Thank you this helped me very much and saved me a lot of time struggling to figure it out by myself! 😁📚

  • @brianacastillo-gk4rb
    @brianacastillo-gk4rb Жыл бұрын

    amazing, You opened my eyes on logs!!!

  • @kylarhoads9173
    @kylarhoads91733 жыл бұрын

    Mario you're a lifesaver

  • @hhjplayzyt5922
    @hhjplayzyt59229 ай бұрын

    You are an amazing teacher/professor I think I can speak for everyone here you are a GOAT

  • @heeheehee2238
    @heeheehee2238 Жыл бұрын

    Thank you so much Mario. I am in my first year of uni, and didn't learn log in highschool, but you helped me so much. Stay Slaying

  • @ranaselim1805
    @ranaselim1805 Жыл бұрын

    thank you for this video. I have been struggling to understand logs but after now it is all easy.

  • @lindaactcoach3495
    @lindaactcoach3495 Жыл бұрын

    This was the best video ever!!!

  • @Thefarnworth1
    @Thefarnworth13 жыл бұрын

    Wonderful job, thank you.

  • @giannipolitano1917
    @giannipolitano1917 Жыл бұрын

    i love it when teach doesnt tell me that the domain is all possible values of x, thanks mario you helped me out with this one ill be reccommending you to friends in my class for other subjects aswell💪

  • @malikmichel1794
    @malikmichel17942 жыл бұрын

    Thank you sir. This was a helpful video!

  • @koino1
    @koino1 Жыл бұрын

    thank you for providing such a clear explanation with great examples to help fully understand logarithms. I have my test tomorrow and this really helped me fully understand the concept of logarithms! thank you so much!!

  • @sarahhernandez8184
    @sarahhernandez81843 жыл бұрын

    Youre such a good teacher. Thank you for you video

  • @Ferromexfan4081
    @Ferromexfan40812 жыл бұрын

    Thank you kindly☀️ You are a great teacher!

  • @awheelabrie73
    @awheelabrie732 жыл бұрын

    Omg thanks I needed this to prepare for my quiz today 💖💖💖💖

  • @kalungachileshe4312
    @kalungachileshe4312 Жыл бұрын

    You're a legendary lecture.

  • @mbaisacruz898
    @mbaisacruz8982 жыл бұрын

    Man you’re good simple and easy explained for one to understand… 👌🏽

  • @batiannolte
    @batiannolte Жыл бұрын

    Amazing! Was not sure logs even were before starting

  • @marcusaurelius6607
    @marcusaurelius6607 Жыл бұрын

    You’re a great teacher, thank you.

  • @alandoodles
    @alandoodles4 жыл бұрын

    I'm reviewing Algebra II to make sure I do well on my Math Placement test. This is really helpful. Thank you so much!

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    You’re welcome Alan!

  • @theonionwizard8686
    @theonionwizard86863 жыл бұрын

    Huge help man, thanks

  • @eugeniashirley6225
    @eugeniashirley62253 жыл бұрын

    dude thank you so much you’re such a big help

  • @heatherheatherandpeggy9134
    @heatherheatherandpeggy9134 Жыл бұрын

    this was SO helpful!! thank you so much!!

  • @MariosMathTutoring

    @MariosMathTutoring

    Жыл бұрын

    You're so welcome!

  • @user-zd3mp9es6c
    @user-zd3mp9es6c3 жыл бұрын

    Much better explanation than my teacher had to offer :)

  • @mariamacamara9963
    @mariamacamara9963 Жыл бұрын

    This was a good review, I can't thank you enough Professor :)

  • @Mimi-xy1tu
    @Mimi-xy1tu2 жыл бұрын

    You are very good! Keep giving us more videos like this

  • @jackflash8756
    @jackflash8756 Жыл бұрын

    Excellent video .

  • @hungryhusseyy
    @hungryhusseyy8 ай бұрын

    I've been so stressed out with math but i FINALLY understand some of the concepts from this video! thank you SO much Mario!!!

  • @MariosMathTutoring

    @MariosMathTutoring

    8 ай бұрын

    I'm so glad!

  • @davidmanagarekomoriah4760
    @davidmanagarekomoriah4760 Жыл бұрын

    Man you are awesome in the way to deliberate on the properties of natural log, how their properties can be manipulated to solve problems. Now I am prepared for a test. Thank you.🤝

  • @noaavigdor6376
    @noaavigdor63762 жыл бұрын

    Thank you so much this was very helpful!

  • @CoffeeDev749
    @CoffeeDev749 Жыл бұрын

    Thank you so much for this, sir! I now have a more solid understand of how logarithims.

  • @olliehughes7367
    @olliehughes73672 күн бұрын

    This is amazing you are the best mr.mario

  • @oztale4631
    @oztale46313 жыл бұрын

    Really awesome explanation

  • @midnightshatinggabi
    @midnightshatinggabi2 жыл бұрын

    thank you sir! it was so helpful ㅠㅠ

  • @jogguks2392
    @jogguks23922 жыл бұрын

    OMG TYSM YOU LITERALLY TEACH BETTER THAN MY TEACHER DOES??!!!!

  • @brynthorburn4580
    @brynthorburn4580 Жыл бұрын

    Omg so helpful, your the best 🐐

  • @gracemccormack8305
    @gracemccormack83054 жыл бұрын

    thanks Mario! this video really helped me understand logs better

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Awesome! Glad my logs video helped you Grace!

  • @dylannguyen5099
    @dylannguyen50994 жыл бұрын

    Very useful especially during current times without having help of a teacher this is the second best thing.thank you

  • @MariosMathTutoring

    @MariosMathTutoring

    4 жыл бұрын

    Glad my videos are helping you during this time!

  • @lttrhd
    @lttrhd3 жыл бұрын

    Mario, thank you!

  • @uWu-fp2lc
    @uWu-fp2lc3 жыл бұрын

    This is a GOLDMINE THANK YOU

  • @ayylajaadu7637
    @ayylajaadu76377 жыл бұрын

    fantastic!!