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

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.

Пікірлер: 115

  • @dkblack1289
    @dkblack12897 ай бұрын

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

  • @ef7496
    @ef74963 жыл бұрын

    I bought his CD in 2007 when I was in community college 😊 and surly I passed with an A he is awesome 👏

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    That's awesome!

  • @usmanghani2258

    @usmanghani2258

    3 жыл бұрын

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

  • @Luke18_13

    @Luke18_13

    3 жыл бұрын

    @@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

    3 жыл бұрын

    Do his Courses cover College Studies as well?

  • @prakeernaghosh7924

    @prakeernaghosh7924

    3 жыл бұрын

    @@usmanghani2258 On His Website.

  • @Waafa
    @Waafa3 жыл бұрын

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

  • @ralphfi9591
    @ralphfi9591 Жыл бұрын

    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.

  • @WHERESDrManhattan
    @WHERESDrManhattan2 жыл бұрын

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

  • @belindahenry173
    @belindahenry17321 күн бұрын

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

  • @mathiascheboi6610
    @mathiascheboi66103 жыл бұрын

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

  • @Cheesecake99YearsAgo
    @Cheesecake99YearsAgo3 жыл бұрын

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

  • @dicksonkaulu6992
    @dicksonkaulu6992 Жыл бұрын

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

  • @pomeroypowerjackrepair
    @pomeroypowerjackrepair3 жыл бұрын

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

  • @cabdulmudalibmahadjaamac9099

    @cabdulmudalibmahadjaamac9099

    3 жыл бұрын

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  • @hemarajue2736
    @hemarajue27363 жыл бұрын

    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.

  • @kanishkaaashekhawat6234

    @kanishkaaashekhawat6234

    3 жыл бұрын

    True

  • @anandrao395

    @anandrao395

    3 жыл бұрын

    @@kanishkaaashekhawat6234 yhhh

  • @aakill3083
    @aakill30832 жыл бұрын

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

  • @michaelmatthews1665
    @michaelmatthews16659 ай бұрын

    You are Saving me in engineering thankyou

  • @tsegayetadesse5559
    @tsegayetadesse55594 ай бұрын

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

  • @pekkagronfors7304
    @pekkagronfors73043 жыл бұрын

    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.

  • @lilbunnyjk1756
    @lilbunnyjk17562 жыл бұрын

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

  • @pragyatutorial
    @pragyatutorial8 ай бұрын

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

  • @kaili1094
    @kaili1094 Жыл бұрын

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

  • @samueladler9080
    @samueladler90802 жыл бұрын

    Lengthy but worth the time, thanks. My appreciation.

  • @mr.stranger3417
    @mr.stranger3417Ай бұрын

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

  • @barexaamidofficial4440
    @barexaamidofficial44402 жыл бұрын

    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

  • @giovannicaproni6489
    @giovannicaproni64895 ай бұрын

    Excellent! I learned (actually relearned) a lot!

  • @theprosperitypioneers
    @theprosperitypioneers14 күн бұрын

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

  • @NikitaNewa
    @NikitaNewa2 ай бұрын

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

  • @sydneyphiri9474
    @sydneyphiri9474 Жыл бұрын

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

  • @mitsuru338
    @mitsuru3382 жыл бұрын

    You make me love math

  • @livylondon1
    @livylondon13 жыл бұрын

    Hi Jason. Thanks for your content

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    My pleasure!

  • @dalitson3558

    @dalitson3558

    3 жыл бұрын

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

  • @ashokekumarsen7919
    @ashokekumarsen7919 Жыл бұрын

    Fantastic professor

  • @patricehara6110
    @patricehara6110 Жыл бұрын

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

  • @ellennaky218
    @ellennaky2183 жыл бұрын

    I really love your teaching 😊😘

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    Thank you! 😃

  • @qualquan
    @qualquan Жыл бұрын

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

  • @magrethtemba1308
    @magrethtemba13082 жыл бұрын

    You make math easy

  • @aleksanderfradkin7955
    @aleksanderfradkin7955 Жыл бұрын

    Really interesting! 😊

  • @musahdoku
    @musahdoku2 ай бұрын

    Much appreciated boss❤

  • @onyinyechiokoro3050
    @onyinyechiokoro305010 ай бұрын

    Thanks so much sir 🙌🏼

  • @jyosthnamarati1458
    @jyosthnamarati14584 ай бұрын

    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.

  • @maryaslane1937
    @maryaslane19373 жыл бұрын

    greetings from greece. your videos are very informative

  • @Carlos-qz7ul
    @Carlos-qz7ul Жыл бұрын

    Masterful ! 👌

  • @fancykook4388
    @fancykook4388 Жыл бұрын

    thank you SO much 🙏🏻

  • @rahmonoyenuga873
    @rahmonoyenuga873 Жыл бұрын

    Good job.

  • @utkarshsharma1185
    @utkarshsharma11852 жыл бұрын

    Thanks alot sir.

  • @tresajessygeorge210
    @tresajessygeorge2107 ай бұрын

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

  • @luckyhiii583
    @luckyhiii583 Жыл бұрын

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

  • @user-hc4jy2dt2e
    @user-hc4jy2dt2e4 ай бұрын

    wow!!! 😍thank you very much

  • @TheLucanicLord
    @TheLucanicLord2 ай бұрын

    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

  • @alim7532
    @alim75323 жыл бұрын

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

  • @chayendrahr9548
    @chayendrahr95483 жыл бұрын

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

  • @terencewright2223
    @terencewright22232 жыл бұрын

    A wonderful video. Thank you very much.

  • @sujuktachoudhury1003
    @sujuktachoudhury10033 жыл бұрын

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

  • @JesusJesusmoreJesus

    @JesusJesusmoreJesus

    9 ай бұрын

    😊

  • @REDSHADE26
    @REDSHADE267 ай бұрын

    Good lesson❤

  • @MM-dj2cv
    @MM-dj2cv2 жыл бұрын

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

  • @alexz3901
    @alexz3901 Жыл бұрын

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

  • @ahmadfares5243
    @ahmadfares524310 ай бұрын

    Nice one

  • @ksofficerofficer7858
    @ksofficerofficer7858Ай бұрын

    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😂😂

  • @BrrrrrrrrR24
    @BrrrrrrrrR243 ай бұрын

    Wish this was my teacher

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Жыл бұрын

    am satisfied with that 👍

  • @DBX277
    @DBX2773 жыл бұрын

    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

    3 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

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

  • @princenegi1886
    @princenegi18863 жыл бұрын

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

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    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

  • @user-jm3mh6ud4w
    @user-jm3mh6ud4w6 ай бұрын

    very interesting

  • @lylyyy279
    @lylyyy2792 жыл бұрын

    Bravo

  • @ngaligift9219
    @ngaligift92192 жыл бұрын

    Love ur toutor

  • @actanmike524
    @actanmike52416 күн бұрын

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

  • @hemarajue2736
    @hemarajue27363 жыл бұрын

    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.

  • @HadiatuBah-fb5zt
    @HadiatuBah-fb5zt11 ай бұрын

    Thanks

  • @MM-dj2cv
    @MM-dj2cv2 жыл бұрын

    Where did you get oo.699

  • @AlbertChanda-oy9m
    @AlbertChanda-oy9m5 күн бұрын

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

  • @labanprosper367
    @labanprosper367 Жыл бұрын

    Nice

  • @miguelferreiramoutajunior7932
    @miguelferreiramoutajunior79323 жыл бұрын

    Thank You Sir!

  • @25kIced
    @25kIced3 жыл бұрын

    really good thx professor

  • @MathAndScience

    @MathAndScience

    3 жыл бұрын

    You are welcome!

  • @prakeernaghosh7924
    @prakeernaghosh79243 жыл бұрын

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

  • @ShaileshYadav__

    @ShaileshYadav__

    3 жыл бұрын

    Jason Gibson

  • @timileyinajayi4384
    @timileyinajayi43842 жыл бұрын

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

  • @ShikongoDarius
    @ShikongoDarius2 ай бұрын

    Solve for me long7[4×-5]

  • @AnnaSamuel-fp1qv
    @AnnaSamuel-fp1qv15 күн бұрын

    Why 7

  • @enhypenhybe4806
    @enhypenhybe48062 жыл бұрын

    how to evaluate log base e^2

  • @basilrex4105
    @basilrex41052 жыл бұрын

    a lucid exposition

  • @Dizzy.404
    @Dizzy.4043 жыл бұрын

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

  • @view05nys
    @view05nys3 жыл бұрын

    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

  • @Rnrkeje
    @Rnrkeje3 жыл бұрын

    Turtle approves of this video

  • @njugunajosee9001
    @njugunajosee90013 жыл бұрын

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

  • @josiahfadder
    @josiahfadder2 жыл бұрын

    "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

  • @faithelias2798
    @faithelias27982 жыл бұрын

    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

    Жыл бұрын

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

  • @Larodangm

    @Larodangm

    9 ай бұрын

    may all those fools go back to the star asap

  • @isaaccotton6603

    @isaaccotton6603

    9 ай бұрын

    May you be blessed.

  • @jivvr

    @jivvr

    8 ай бұрын

    😱

  • @John-jz6wz

    @John-jz6wz

    7 ай бұрын

    I'm atheist so very interesting

  • @tico6028
    @tico602810 ай бұрын

    Ilysm an

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Жыл бұрын

    am satisfied with that 👍

  • @innocenthamisonndalahwa9541
    @innocenthamisonndalahwa9541 Жыл бұрын

    Thanks

  • @lokwiirufino-tl6jq
    @lokwiirufino-tl6jq Жыл бұрын

    am satisfied with that 👍