Solving Logarithmic Equations With Different Bases - Algebra 2 & Precalculus

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  • Опубліковано 26 гру 2024

КОМЕНТАРІ • 266

  • @TheOrganicChemistryTutor
    @TheOrganicChemistryTutor  Рік тому +20

    Logarithms - Free Formula Sheet: bit.ly/4fEwqv0
    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: ua-cam.com/video/6CrXFvvwsaE/v-deo.html

  • @user-gq9gm2en4g
    @user-gq9gm2en4g 4 роки тому +1123

    i left this video feeling like a math genius, then i opened my assignment question. i cried

  • @tez817
    @tez817 5 років тому +350

    Can we swap brains just for this upcoming test???

  • @georgesadler7830
    @georgesadler7830 3 роки тому +67

    MR. Organic Chemistry Tutor, thank you for Explaining and Solving Logarithmic Equations with Different Bases. Understanding logarithm is very important in all levels of math, engineering, physics, chemistry and all the Enviromental's sciences.

  • @starburst-v7
    @starburst-v7 5 років тому +180

    You really saved me. Made me cry when I solved the answer on my own and got it. Thanks a lot

    • @lilmosey5783
      @lilmosey5783 3 роки тому

      Ur wired

    • @galaxyyy3427
      @galaxyyy3427 3 роки тому +4

      @@lilmosey5783 damn they're really wired, so connected

  • @princessalexander1349
    @princessalexander1349 5 років тому +144

    You're saving lives. it's a powerful thing.

  • @spencer4562
    @spencer4562 2 роки тому +39

    You're a key stakeholder in our education 😭❤️🔥

  • @leagueoflivinglegends5913
    @leagueoflivinglegends5913 6 років тому +27

    first time I watched a 32 min math video and not get bored. payed more attention here than in MY CLASS

  • @denvercharlebois699
    @denvercharlebois699 4 роки тому +12

    His math tutorials is therapeutic for me.

  • @Sultan_A
    @Sultan_A 9 місяців тому +3

    Very Good, The Organic Chemistry Tutor, Keep It Up 🌟

  • @vishugaur6178
    @vishugaur6178 3 роки тому +12

    You are a genius man had difficulty in this particular concept and you cleared all ky doubts

  • @wistfulgraph
    @wistfulgraph 2 роки тому +16

    At 24:58, by skipping over the "non-factorable" quadratic, you skip over a solution which isn't extraneous (because it is a real quadratic and one of the answers fits in the domain necessary for log2(x+3)+log4(5-x)=3. The domain is -3 x>-3 ..... 5-x>0 --> x

    • @The_InsideJoke
      @The_InsideJoke 2 роки тому +9

      Brain hurty

    • @morganblarue
      @morganblarue Рік тому +1

      Exactly! I didn’t run through the math like you did, but we did leave out another two possible solutions for x (one being negative, so not a solution).

    • @michaels333
      @michaels333 Рік тому +1

      Came here for this comment. On the previous problem the quadratic gave complex roots - not the case here

    • @KungFuBarbie-pc7hb
      @KungFuBarbie-pc7hb 7 місяців тому

      Where'd you get the 1 solution from

  • @cindychilufya9220
    @cindychilufya9220 2 роки тому +6

    I used to find it so hard to change bases in secondary school, but now that I'm in college, plus this video, it's a walk over

  • @anthoniamokwunye8511
    @anthoniamokwunye8511 3 роки тому +18

    Thanks for all you do. You have really helped me alot. God bless and reward you 🙏

  • @tmannazy
    @tmannazy 4 роки тому +3

    Beautiful...I've gotten back this log wahala solved through this tutorial.
    Thanks.

  • @harrisonthegr8526
    @harrisonthegr8526 4 роки тому +34

    I’m in middle school and I’m taking geometry rn but I figured that if I learned stuff like this I’ll be prepared for the future

    • @uzi6839
      @uzi6839 3 роки тому +4

      @@doobiuspoopius2343 yup so tru

    • @broderickproject8721
      @broderickproject8721 3 роки тому +16

      Ur smart for doing that, jr year is complete hell. Finals this week, wish me luck

    • @harrisonthegr8526
      @harrisonthegr8526 3 роки тому +7

      @@broderickproject8721 just took my final today good luck

    • @noahbenjamin7782
      @noahbenjamin7782 3 роки тому +1

      yep finals are hell, definitely helps to be prepared

    • @sunjidasultana4648
      @sunjidasultana4648 9 місяців тому

      same here too!

  • @elebeonupeter1477
    @elebeonupeter1477 4 роки тому +8

    Thank you, this was very helpful in refreshing what I had forgotten.

  • @satyamrai1220
    @satyamrai1220 4 місяці тому +1

    keep up the good work for all the students looking forward to learning mathematics in much comfortable manner

  • @DiyaSewnarain
    @DiyaSewnarain Рік тому

    why are you such a good teacher . i can do my tutorials now lool

  • @gontsekganyago4079
    @gontsekganyago4079 2 роки тому

    the way everything just links is amazing....i love math...its like an alien language

  • @ZakiAsir
    @ZakiAsir 5 років тому +1

    You are the saint of all students

  • @ShiroKage-h8v
    @ShiroKage-h8v Рік тому

    So comprehensible yet so mind boggling

  • @thomassidoti5496
    @thomassidoti5496 7 місяців тому +1

    On that problem ending at 24:36 x=1 is a solution and x=-1+2radical(5) is also a solution. If you did the quadratic equation at the end you would have arrived at that. 1-2radical(5) however, is not a solution because it is not in the domain

  • @osaijeigbafen6323
    @osaijeigbafen6323 4 роки тому

    This guy is a life saver

  • @CorneliusChilufya
    @CorneliusChilufya 7 місяців тому

    This is wonderful and easy to capture the method

  • @renewd
    @renewd 7 років тому +7

    These are lengthy and involved compared to some other logarithm problems, but a good challenge.

  • @vashishpersad269
    @vashishpersad269 2 роки тому +1

    you deserve a special spot in heaven. This was amazing thank you :)

  • @kevsolomy4768
    @kevsolomy4768 7 років тому +60

    The struggles of IB maths r real!!!

    • @ilhanyusuf2160
      @ilhanyusuf2160 5 років тому +3

      Almostutorials sameee my teacher literally sucks at teaching

    • @aurorg7297
      @aurorg7297 4 роки тому +3

      @@ilhanyusuf2160 Same here, we sped through this unit so fast and whenever I ask a question she always gives me a hard time

    • @nadineabdullah9886
      @nadineabdullah9886 4 роки тому +1

      i thought this was taught in myp??

    • @anrajsoni2596
      @anrajsoni2596 4 роки тому

      Auro R'G SAME.

  • @rumanmdhasan6224
    @rumanmdhasan6224 4 роки тому +1

    Great video,brother!
    Those maths seam really easy now!

  • @itsss.l
    @itsss.l 2 роки тому

    He’s just the best ❤❤

  • @7sevenAM
    @7sevenAM 2 роки тому

    i love this guy so much😭😭😭😭😭

  • @AnilKumar-lv6yf
    @AnilKumar-lv6yf 7 років тому +18

    Finally helped me to undestand *LOGARITHM*
    Thanks a lot😊😊

  • @miinjung
    @miinjung 3 роки тому +7

    example - 0:37
    one - 1:49
    two - 14:06
    three - 16:45
    four - 24:49

  • @fahembluebluefahem5516
    @fahembluebluefahem5516 8 років тому +13

    very smart method of teaching !! keep going sir ! from an algerian american.

  • @josephteweilissah5491
    @josephteweilissah5491 2 роки тому +1

    Perfectly done thank you sir

  • @firayihonese4127
    @firayihonese4127 2 роки тому

    No question this guy is a genius

  • @christianayiah9071
    @christianayiah9071 3 роки тому +1

    Always best in wat u do

  • @sskchannelallsubjects4421
    @sskchannelallsubjects4421 2 роки тому

    Superb fantastic mind-blowing sir

  • @zekariyasngusu2368
    @zekariyasngusu2368 3 роки тому

    Thank you this is the best channel

  • @keishiekim6111
    @keishiekim6111 5 років тому +2

    You always help me with my maths, thank u so much

    • @hiyashah2335
      @hiyashah2335 5 років тому

      oh the british people... mathS lmao

    • @ivashehu7097
      @ivashehu7097 4 роки тому

      @@hiyashah2335 oh the americans...maaaaaaTH[s]
      no hard feelings 😂

  • @donotdisturb5127
    @donotdisturb5127 2 роки тому +12

    My math exam is in 10 minutes pray for me 😭

  • @njelekaharriet6107
    @njelekaharriet6107 2 роки тому +1

    OMG I have been failing such kind of question when they come on a test ,but I can't believe that I have known how to solve them

  • @juliachonarzewski5870
    @juliachonarzewski5870 2 роки тому

    This is exactly what I needed

  • @abrahamekpe3679
    @abrahamekpe3679 3 роки тому +1

    Thanks allot at least you have shared your ( maths) knowledge with me

  • @yasinacademy1145
    @yasinacademy1145 3 роки тому

    I like ur video it is very helpful

  • @bhaktathapa263
    @bhaktathapa263 Рік тому

    This video is really useful. Thank you a lot.

  • @laurenorourke2442
    @laurenorourke2442 4 роки тому +4

    Thank you thank you thank you!! I have an algebra 2 quiz tomorrow and i don't understand logarithmic nor exponential equations, so this was really helpful!! Im praying I do well on my quiz tomorrow

    • @simonbawi21
      @simonbawi21 3 роки тому +1

      How did you do? You don’t probably remember since it was 1 year ago!

    • @laurenorourke2442
      @laurenorourke2442 3 роки тому +2

      @@simonbawi21 i think i actually remember!! i think i got a low A😅 i lowkey miss algebra 2, pre calc kicked my ass last year:(

    • @simonbawi21
      @simonbawi21 3 роки тому +1

      @@laurenorourke2442 Thats very good to hear, I'm taking applied calculus in college so I'm just getting help since I don't really learn from lecture.

  • @herangao4685
    @herangao4685 6 років тому +1

    man u saved me before my test

  • @enriquedevilliers8144
    @enriquedevilliers8144 2 роки тому

    man thanks brother you seriously help a lot keep doing what you do bro!!!!

  • @yina6816
    @yina6816 Рік тому

    @ 21:55
    Where (and why) did the multiply both sides with negative one come from?

  • @youssifmansour516
    @youssifmansour516 5 років тому +1

    Me and my friend are in 6th grade and still love your log,factorials,ln,and algebra vids

  • @yazanmarwan8447
    @yazanmarwan8447 5 років тому +1

    Thank you for this very amazing explantion 👍🏻👍🏻

  • @nicholasbathiya3052
    @nicholasbathiya3052 Рік тому

    Kudos to your effort sir.

  • @PaleBlueDotCitizen
    @PaleBlueDotCitizen 4 роки тому +1

    @23:37 you stick with x=1 and say there are no other zeros but the quadratic x^2+2x-19 can be solved by completing the square to get x = -1 +/- 2 sqrt 5.

    • @krishhhprj
      @krishhhprj 3 роки тому

      Nerd
      jk I’m not that guy

  • @PhillipClarkePhotography
    @PhillipClarkePhotography 7 років тому +53

    Thanks Mark Wahlberg!

  • @Devil-dz2jm
    @Devil-dz2jm 4 роки тому +1

    Man, I love your content so damn much

  • @jmmshorts7130
    @jmmshorts7130 4 роки тому

    Man you are a savior

  • @shamusemery3188
    @shamusemery3188 5 років тому +3

    This video was honestly so clutch bro saved me like $40 thank you!

  • @jonathanaryee3505
    @jonathanaryee3505 5 місяців тому

    You just saved a life

  • @roccomelodino4347
    @roccomelodino4347 10 місяців тому

    At 22:04 can you explain why you times it by -1 please

  • @archimedeis
    @archimedeis 2 роки тому

    Thank you so much for these.

  • @Ioa_kun
    @Ioa_kun 8 місяців тому

    3:52 why did you multiply the right side by 1/3?
    By the way, you really helped me a lot to catch up in classes, Thanks

    • @accensa
      @accensa 5 місяців тому

      Late to this but division can be defined in terms of multiplication; it's essentially the inverse version of the operation (multiplying by the denominator). Log3(4x + 7)/3 is the same as 1/3[log3(4x +7)]. When you distribute 1/3 it becomes Log3(4x + 7)/3. The reason why he chose to multiply by 1/3 is so that you can make it an exponent for the log as he explained it.

  • @happyfeet7123
    @happyfeet7123 4 роки тому +10

    lmao i love how he just ends the video after the lesson

    • @yatoboy9968
      @yatoboy9968 3 роки тому

      U wanted him to rap before ending them or smt ? Lol

    • @happyfeet7123
      @happyfeet7123 3 роки тому

      @@yatoboy9968 there's this thing youtubers and even educational channels do called an "outro" idk if u heard of it but it was kinda cool that this video just didn't have one.

    • @yatoboy9968
      @yatoboy9968 3 роки тому

      @@happyfeet7123 well the video still awesome with or without that so we do not care bout that unnecessary bs and notice how you're literally the only one rambling about all that junk

    • @happyfeet7123
      @happyfeet7123 3 роки тому

      @@yatoboy9968 I see you agree with my comment. Good

    • @yatoboy9968
      @yatoboy9968 3 роки тому

      @@happyfeet7123 bro I was agreeing with you from the start you jus didn't understand me 🐈

  • @Deaxon1
    @Deaxon1 5 років тому +1

    I have an exam today, thanks.

  • @IanSmithFordman
    @IanSmithFordman 2 місяці тому

    Best ❤🎉

  • @sharannandakumar7809
    @sharannandakumar7809 3 роки тому +1

    Bro I have never saw the real god before but hopefully can see you soon 👍👍

  • @Chrisymcmb
    @Chrisymcmb 4 роки тому

    Thanks m8, I really needed that

  • @kingmonpillay9844
    @kingmonpillay9844 4 роки тому

    🙏🏽 You're a Math 👼

  • @programmingbezaleel
    @programmingbezaleel 2 роки тому

    Thank you so much.

  • @giemar8307
    @giemar8307 4 роки тому

    Thank you very much Sir..

  • @thomassidoti5496
    @thomassidoti5496 9 місяців тому

    Love your videos! in the 2nd to last problem, why aren't 3.472 and -5.472 solutions to the equation? They work out when plugged into the original equation

    • @thomassidoti5496
      @thomassidoti5496 7 місяців тому

      3.472 is but not -5.472 because it is not in the domain

  • @nathanmofya3866
    @nathanmofya3866 Рік тому +1

    How can I solve an equation for this sort; 3×10^3+2×10^x+5×10^y=3002.05

  • @videolife7264
    @videolife7264 3 роки тому +4

    Good explanation and helpful to get the correct idea🔥,Keep doing more🙏

  • @RahaelLeboo
    @RahaelLeboo Рік тому

    Can I send a question basing on the topic

  • @AdityaShinde_11
    @AdityaShinde_11 4 роки тому

    Wonderful
    #DefinationsForStudents

  • @Airborneworms
    @Airborneworms Рік тому

    where are you getting a third from?

  • @teaaaaa1691
    @teaaaaa1691 3 роки тому +1

    THANK YOUUU!!

  • @beverlyfrancis8433
    @beverlyfrancis8433 5 років тому

    Thank you.

  • @briggshightower7959
    @briggshightower7959 7 років тому +6

    Lets assume we have 45 seconds to solve this? How do we get there this quick?

  • @sharonann3259
    @sharonann3259 2 роки тому

    rombe nandri ya🙏

  • @nashbrown1725
    @nashbrown1725 4 роки тому

    bro ur cracked ! da goat im not sus but i luv u right now mwah mwah u save my life by blessing me with this math cant tell u how happy i am rn but u are doing the lords work thank u so much

  • @theengineeringstudent2678
    @theengineeringstudent2678 5 років тому

    So interesting!

  • @helloworld1272
    @helloworld1272 3 роки тому

    When your teacher assigns only 4 problems and you think it won’t take long buts it’s already midnight

  • @nelsonl.barquio2281
    @nelsonl.barquio2281 4 роки тому +1

    How to simplify; log2/ log25- log5?

  • @anomamirihagalla2870
    @anomamirihagalla2870 3 роки тому

    120 people unliking this . 😑😑 ok they dont even know what is log 😰😩 this was really helpfull and ots for free

  • @zeph8620
    @zeph8620 5 років тому

    Can we just exchange everything with Euler's number and use natural log?

  • @bonusben3486
    @bonusben3486 7 років тому +5

    have you done a video on solving to x when you have mixed equations of exponentials or logs and normal binomials?

  • @jupiterisalive
    @jupiterisalive 8 місяців тому

    thank you

  • @Eds3.14
    @Eds3.14 6 років тому +14

    i've been watching your vids for a while and i figured it out... you're a Hispanic with a Boston accent. am i in the ballpark here?

    • @angelan924
      @angelan924 5 років тому

      Eduardo Ramirez have you ever seen the movie split ?

    • @afiazaman6622
      @afiazaman6622 4 роки тому

      @@angelan924 I saw it its great!

  • @myzahra4029
    @myzahra4029 6 років тому

    that's helpful , thank you

  • @atharvsingh3185
    @atharvsingh3185 6 років тому

    Thanks it really helped .....

  • @hiyashah2335
    @hiyashah2335 5 років тому

    ILY LIFE SAVER

  • @abdulsalamone
    @abdulsalamone 8 років тому +2

    make video on log table

  • @ADawg467
    @ADawg467 4 роки тому +7

    when he said two is a factor of 15 by accident I lowkey panicked. ;P

  • @birungironald118
    @birungironald118 4 місяці тому

    I like to learn how to write on a screen . May you teach us.

  • @serinacat4781
    @serinacat4781 5 років тому

    Very helpful thanks haha

  • @mangotango740
    @mangotango740 3 роки тому

    what the difference between algebra 2 and precalc?

  • @rolexbigsmoke7613
    @rolexbigsmoke7613 3 роки тому +1

    16:53 wait holdup what's the police doing here.

  • @siegfredsuico64
    @siegfredsuico64 3 роки тому

    log(x2+3X) + Log (5X) = x2 + log (2X)

  • @akhonaakhona
    @akhonaakhona 9 місяців тому

    Hi sir I didn't understand the 1/3 part can you please help me