Logarithm Change of Base Formula & Solving Log Equations - Part 1 - [7]

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  • čas přidán 25. 01. 2021
  • More Lessons: www.MathAndScience.com
    Twitter: / jasongibsonmath
    In this lesson, you will learn how to solve logarithmic equations by using the log change of base formula. We will learn that we can express the logarithm in terms of a different log with a different base. This is very useful when we solve logarithmic equations because we can construct the proper log to cancel terms and isolate the variable that we are trying to solve. In this lesson, we will introduce the log change of base formula and apply it to solving equations that contain logarithms.

Komentáře • 116

  • @dkblack1289
    @dkblack1289 Před 7 měsíci +6

    Jason is the best teacher I have ever known. He also knows so much in all physics and maths field.

  • @ef7496
    @ef7496 Před 3 lety +55

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    • @MathAndScience
      @MathAndScience  Před 3 lety +19

      That's awesome!

    • @usmanghani2258
      @usmanghani2258 Před 3 lety

      Eyad fakhouri, where I can find this CD. I'm from Afghanistan, I need this CD, thank you.

    • @Luke18_13
      @Luke18_13 Před 3 lety +2

      @@MathAndScience I'm new to math. I'm almost 40, and I've never took the time to learn. I'm extremely interested in sharpening my mind. What video should I start with? I can add and subtract for the most part, division is tricky for me, as is multiplication. I really want to delve into the realm of math...

    • @prakeernaghosh7924
      @prakeernaghosh7924 Před 3 lety

      Do his Courses cover College Studies as well?

    • @prakeernaghosh7924
      @prakeernaghosh7924 Před 3 lety

      @@usmanghani2258 On His Website.

  • @Waafa
    @Waafa Před 3 lety +9

    Another great video Jason. Even though we have never met, I consider you a good friend.

  • @WHERESDrManhattan
    @WHERESDrManhattan Před 2 lety +12

    Great teacher - wish I'd had you during my studies!

  • @mathiascheboi6610
    @mathiascheboi6610 Před 3 lety +5

    Indeed it doesn't just come from the sky. What a smart tutor! Thank you so much.

  • @tsegayetadesse5559
    @tsegayetadesse5559 Před 5 měsíci +2

    You are the best best best teacher I know. Thank you!

  • @ralphfi9591
    @ralphfi9591 Před rokem +3

    6:20 - Finally. Thank you for giving this part here. Literally the only question I had about this, is whether the base is fixed to 2 or 10 or not.
    But now thanks to you, I have finally no doubts.

  • @pomeroypowerjackrepair
    @pomeroypowerjackrepair Před 3 lety +6

    Thank you Jason! Greatly appreciate what you do for the world!

  • @michaelmatthews1665
    @michaelmatthews1665 Před 10 měsíci +2

    You are Saving me in engineering thankyou

  • @dicksonkaulu6992
    @dicksonkaulu6992 Před rokem

    Thankyou for having that teacher who let us to achieve our goals. May Almighty God bless him at all.

  • @aakill3083
    @aakill3083 Před 2 lety +2

    Great! Thank you for your clear and easy understanable lesson given to us.

  • @Cheesecake99YearsAgo
    @Cheesecake99YearsAgo Před 3 lety +6

    Much appreciated Jason!
    Is there a playlist for this video?
    Or could you add it in the description?

  • @hemarajue2736
    @hemarajue2736 Před 3 lety +8

    I'm happy with that proof, since I was struggling at.
    Logarithm of 1 is always zero irrespective of the bases.
    Logarithm to base 1 is undefined.
    E.g log 2 = log 2/log 1 =
    log 2/0 = undefined.

  • @belindahenry173
    @belindahenry173 Před měsícem

    Thank God for giving me a teacher I can't meet in person, but leaning from him

  • @pragyatutorial
    @pragyatutorial Před 9 měsíci +1

    Respected teacher you toght so well with kond heart. Thank you.

  • @samueladler9080
    @samueladler9080 Před 2 lety

    Lengthy but worth the time, thanks. My appreciation.

  • @kaili1094
    @kaili1094 Před rokem +1

    I understand the last derivation. Wow~ I used to get confused with them. Thanks.

  • @lilbunnyjk1756
    @lilbunnyjk1756 Před 2 lety +2

    I was struggling with that prove that how should I prove this .....but sir u r superb ...thanks for this 💕

  • @mr.stranger3417
    @mr.stranger3417 Před 2 měsíci

    God bless you sir, May all your wishes come true ❤

  • @giovannicaproni6489
    @giovannicaproni6489 Před 5 měsíci

    Excellent! I learned (actually relearned) a lot!

  • @sydneyphiri9474
    @sydneyphiri9474 Před rokem

    You promised to make me understand and you did thank you very much

  • @theprosperitypioneers
    @theprosperitypioneers Před měsícem

    Great tutorial, thanks a lot to share with us everyone 😍

  • @ashokekumarsen7919
    @ashokekumarsen7919 Před 2 lety

    Fantastic professor

  • @NikitaNewa
    @NikitaNewa Před 2 měsíci

    This lesson is amazing and well understood please can you do a lesson on proving rational and irrational numbers please

  • @pekkagronfors7304
    @pekkagronfors7304 Před 3 lety

    I write a lot of Powershell scripts at work. They are often not very mathematically intensive, but on a few occasions your videos have saved my day. Thank's.

  • @mitsuru338
    @mitsuru338 Před 2 lety

    You make me love math

  • @barexaamidofficial4440

    Great teaching.
    I have problem for how make table of lograthms is there any have a reference reviewing this fact.
    Thanks
    I mean where the values of log table are derived ? Which formula is used

  • @aleksanderfradkin7955

    Really interesting! 😊

  • @qualquan
    @qualquan Před rokem

    very good
    rationale for changing to easier bases10 or 'e' explained

  • @onyinyechiokoro3050
    @onyinyechiokoro3050 Před 11 měsíci

    Thanks so much sir 🙌🏼

  • @utkarshsharma1185
    @utkarshsharma1185 Před 2 lety +1

    Thanks alot sir.

  • @musahdoku
    @musahdoku Před 2 měsíci

    Much appreciated boss❤

  • @Carlos-qz7ul
    @Carlos-qz7ul Před rokem

    Masterful ! 👌

  • @fancykook4388
    @fancykook4388 Před 2 lety

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  • @ellennaky218
    @ellennaky218 Před 3 lety

    I really love your teaching 😊😘

  • @magrethtemba1308
    @magrethtemba1308 Před 2 lety

    You make math easy

  • @rahmonoyenuga873
    @rahmonoyenuga873 Před rokem

    Good job.

  • @alexz3901
    @alexz3901 Před rokem +2

    When I studied logarithms, I was told that base 10 logarithm's notation is "lg"

  • @tresajessygeorge210
    @tresajessygeorge210 Před 8 měsíci

    THANK YOU... SIR...!!!

  • @livylondon1
    @livylondon1 Před 3 lety

    Hi Jason. Thanks for your content

    • @MathAndScience
      @MathAndScience  Před 3 lety +1

      My pleasure!

    • @dalitson3558
      @dalitson3558 Před 3 lety

      @@MathAndScience you are the best maths teacher , am enjoying your course from Malawi

  • @user-hc4jy2dt2e
    @user-hc4jy2dt2e Před 5 měsíci

    wow!!! 😍thank you very much

  • @luckyhiii583
    @luckyhiii583 Před rokem +1

    😮😮😮😮😮😮😮😮 waoo what a explanation going directly inside head to third leg 😢😢😢

  • @REDSHADE26
    @REDSHADE26 Před 8 měsíci

    Good lesson❤

  • @patricehara6110
    @patricehara6110 Před 2 lety

    Hey mister, may you teach a class on Power series please

  • @ahmadfares5243
    @ahmadfares5243 Před 11 měsíci

    Nice one

  • @maryaslane1937
    @maryaslane1937 Před 3 lety +1

    greetings from greece. your videos are very informative

  • @user-jm3mh6ud4w
    @user-jm3mh6ud4w Před 7 měsíci

    very interesting

  • @innocenthamisonndalahwa9541

    Thanks

  • @jyosthnamarati1458
    @jyosthnamarati1458 Před 5 měsíci

    Sir, i got answer 2, for log 9 base 3. But we got different answer in different way in our video, can you please explain this. I did 9 as 3 power 2 . And took 2 in the front. And i krep number 1 in place of log 3 base 3. Finally i got 2.

  • @chayendrahr9548
    @chayendrahr9548 Před 3 lety

    What do we call
    A) 1-12 of a year

  • @lylyyy279
    @lylyyy279 Před 2 lety

    Bravo

  • @ngaligift9219
    @ngaligift9219 Před 2 lety

    Love ur toutor

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Před rokem

    am satisfied with that 👍

  • @hemarajue2736
    @hemarajue2736 Před 3 lety

    Log of 10 with change of base formula. Log10=ln10/ln10=1.
    Secret is secred!. We keep some secrets until they work for us. Sometimes secrets could disturb us like noise. Don't keep the secrets that may disturb you.

  • @MM-dj2cv
    @MM-dj2cv Před 2 lety

    Excuse me can you SHOW ME HOW DID YOU GET 1.477 AFRER YOU HAVE DONE LOG30 DIVIDE BY LOG3. THANK YOU

  • @terencewright2223
    @terencewright2223 Před 3 lety +1

    A wonderful video. Thank you very much.

  • @TheLucanicLord
    @TheLucanicLord Před 3 měsíci

    I can't remember the base change formula if my life depended on it. I have to figure it out by using logs to base 2, 4 and 8 of 64, or that the formula for log to ln is 2.30

  • @ksofficerofficer7858
    @ksofficerofficer7858 Před měsícem

    I got offended when he said pull it out whatever little calculator you have 1:35 but personally I don't care if I got offended or not with my learning journey as long I'm learning somthing😂😂

  • @sujuktachoudhury1003
    @sujuktachoudhury1003 Před 3 lety

    You are a great teacher... 🙏
    I loved the way you explained..Thank you so much teacher.✨

  • @labanprosper367
    @labanprosper367 Před rokem

    Nice

  • @alim7532
    @alim7532 Před 3 lety

    Just had this question today I guessed right answer but now u show the real answer. Wonderful channel

  • @MM-dj2cv
    @MM-dj2cv Před 2 lety

    Where did you get oo.699

  • @actanmike524
    @actanmike524 Před měsícem +1

    My calculator has any base, good for me i started using it when i already grasped these things😊😊, it could have damaged me

  • @BrrrrrrrrR24
    @BrrrrrrrrR24 Před 3 měsíci

    Wish this was my teacher

  • @princenegi1886
    @princenegi1886 Před 3 lety

    I want the full CD.Is it available in India?

    • @MathAndScience
      @MathAndScience  Před 3 lety +1

      Its best to do the streaming option at MathAndScience.com. That way you can view all lessons from anywhere in the world. Thank you! Jason

  • @DBX277
    @DBX277 Před 3 lety

    Having challenges solving log x = -1.8 problem... My hand held answers -.8.... so I went to Excel and it won't take negative numbers...
    so just checking the .0158 answer..
    maybe I need a better calculator (Casio 300 fx 300SA)..appreciate the thoroughness you provide..I signed up for a Subscription..thanks

    • @DBX277
      @DBX277 Před 3 lety

      Replying to my own post...figured out correctly operating my calculator ..and get your answer..sorry for the my unneeded prior post...

    • @MathAndScience
      @MathAndScience  Před 3 lety

      @@DBX277 No worries! Glad you figured it out! Thank you and good luck in your studies! Jason

  • @SharonSweet-gz2mt
    @SharonSweet-gz2mt Před 9 dny

    The number e and pi are irrationals

  • @AlbertChanda-oy9m
    @AlbertChanda-oy9m Před 24 dny

    Anyone with the link to part 2... Please help

  • @miguelferreiramoutajunior7932

    Thank You Sir!

  • @25kIced
    @25kIced Před 3 lety

    really good thx professor

  • @ShikongoDarius
    @ShikongoDarius Před 2 měsíci

    Solve for me long7[4×-5]

  • @timileyinajayi4384
    @timileyinajayi4384 Před 2 lety

    U can put the base 3 on calculator if you don't know

  • @prakeernaghosh7924
    @prakeernaghosh7924 Před 3 lety

    Jason Sir,May I please know Your Full Name?(Just for Remembering)

  • @AnnaSamuel-fp1qv
    @AnnaSamuel-fp1qv Před měsícem

    Why 7

  • @enhypenhybe4806
    @enhypenhybe4806 Před 2 lety

    how to evaluate log base e^2

  • @basilrex4105
    @basilrex4105 Před 2 lety

    a lucid exposition

  • @Dizzy.404
    @Dizzy.404 Před 3 lety +1

    Damn I think I learnt more from you than my teacher. You're like the supportive and wholesome dad I wish I had.

  • @njugunajosee9001
    @njugunajosee9001 Před 3 lety +1

    "I just want you to know that things don't just come from the sky"😄😄😄😄😄😄🍻🍻🍻cheers to that

  • @view05nys
    @view05nys Před 3 lety

    Minor detail .......... The professor forgot that he could also convert to a base e, because there is a also a button on most calculators beside base 10

  • @faithelias2798
    @faithelias2798 Před 2 lety +35

    God loves you and he wants to save everyone, but in order for him to do that, you need to repent and be baptized. Also share his gospel with everyone you come in to contact with and keep his commandments 🙏🏾😘

    • @brendaochieng1084
      @brendaochieng1084 Před rokem +1

      Amen. May all repent and come to God. Jesus Christ is coming soon, let's prepare.

    • @Larodangm
      @Larodangm Před 10 měsíci

      may all those fools go back to the star asap

    • @isaaccotton6603
      @isaaccotton6603 Před 9 měsíci +1

      May you be blessed.

    • @jivvr
      @jivvr Před 9 měsíci

      😱

    • @John-jz6wz
      @John-jz6wz Před 8 měsíci +2

      I'm atheist so very interesting

  • @Rnrkeje
    @Rnrkeje Před 3 lety

    Turtle approves of this video

  • @josiahfadder
    @josiahfadder Před 2 lety

    "If you don't know what a log is it looks hard"...yes, well he's proved logs are hard.....but he also makes it make sense

  • @tico6028
    @tico6028 Před 10 měsíci

    Ilysm an

  • @HadiatuBah-fb5zt
    @HadiatuBah-fb5zt Před rokem

    Thanks

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Před rokem

    am satisfied with that 👍

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Před rokem

    am satisfied with that 👍