Solving Logarithmic Equations With Different Bases - Algebra 2 & Precalculus

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  • čas přidán 16. 01. 2017
  • This algebra 2 and precalculus video tutorial focuses on solving logarithmic equations with different bases. To do this, you need to understand how to use the change of base formula and how to simplify and evaluate logarithmic expressions. Other techniques that are useful to know includes factoring cubic polynomials by synthetic division, using the rational root theorem, binomial expansion theorem with Pascal's triangle, and a basic knowledge of the properties of exponents. In addition, you need to know how to condense multiple logs into a single logarithmic expression and how to convert an equation from logarithmic form to exponential form.
    Logarithms - The Easy Way!
    • Logarithms - The Easy ...
    Log to Exponential Form:
    • Writing Logarithmic Eq...
    Change of Base Formula:
    • Change of Base Formula...
    Change of Base Log Problem:
    • Logarithms
    Properties of Logarithms:
    • Properties of Logarithms
    ____________________________________
    Expanding Logarithmic Expressions:
    • Expanding Logarithmic ...
    Condensing Logarithmic Expressions:
    • Condensing Logarithmic...
    Natural Logarithms:
    • Natural Logarithms
    Solving Exponential Equations:
    • Solving Exponential Eq...
    Exponential Equations - Quadratic Form:
    • Solving Exponential Eq...
    _______________________________________
    Solving Logarithmic Equations:
    • Solving Logarithmic Eq...
    Graphing Logarithmic Functions:
    • Graphing Logarithmic F...
    Graphing Exponential Functions:
    • How To Graph Exponenti...
    Compound Interest Word Problems:
    • Compound Interest
    Logarithms Practice Problems:
    • Logarithms - Practice ...
    _______________________________________
    Final Exams and Video Playlists:
    www.video-tutor.net/
    Full-Length Videos and Worksheets:
    / collections

Komentáře • 254

  • @TheOrganicChemistryTutor

    Final Exams and Video Playlists: www.video-tutor.net/
    Full-Length Videos & Worksheets: www.patreon.com/MathScienceTutor/collections
    Next Video: czcams.com/video/6CrXFvvwsaE/video.html

  • @user-gq9gm2en4g
    @user-gq9gm2en4g Před 3 lety +992

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

  • @tez817
    @tez817 Před 5 lety +303

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

  • @stellaorga
    @stellaorga Před 4 lety +168

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

  • @georgesadler7830
    @georgesadler7830 Před 2 lety +58

    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.

  • @princessalexander1349
    @princessalexander1349 Před 5 lety +141

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

  • @spencer4562
    @spencer4562 Před 2 lety +34

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

  • @leagueoflivinglegends5913
    @leagueoflivinglegends5913 Před 5 lety +28

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

  • @vishugaur6178
    @vishugaur6178 Před 3 lety +8

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

  • @anthoniamokwunye8511
    @anthoniamokwunye8511 Před 2 lety +17

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

  • @elebeonupeter1477
    @elebeonupeter1477 Před 3 lety +7

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

  • @cindychilufya9220
    @cindychilufya9220 Před rokem +5

    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

  • @tmannazy
    @tmannazy Před 3 lety +2

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

  • @denvercharlebois699
    @denvercharlebois699 Před 4 lety +9

    His math tutorials is therapeutic for me.

  • @rumanmdhasan6224
    @rumanmdhasan6224 Před 3 lety +1

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

  • @wistfulgraph
    @wistfulgraph Před rokem +11

    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 Před rokem +8

      Brain hurty

    • @morganblarue
      @morganblarue Před rokem +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 Před 9 měsíci

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

    • @KungFuBarbie-pc7hb
      @KungFuBarbie-pc7hb Před měsícem

      Where'd you get the 1 solution from

  • @renewd
    @renewd Před 6 lety +7

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

  • @enriquedevilliers8144
    @enriquedevilliers8144 Před 2 lety

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

  • @Sultan_A
    @Sultan_A Před 3 měsíci +1

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

  • @CorneliusChilufya
    @CorneliusChilufya Před měsícem

    This is wonderful and easy to capture the method

  • @AnilKumar-lv6yf
    @AnilKumar-lv6yf Před 6 lety +18

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

  • @yazanmarwan8447
    @yazanmarwan8447 Před 4 lety +1

    Thank you for this very amazing explantion 👍🏻👍🏻

  • @bhaktathapa263
    @bhaktathapa263 Před rokem

    This video is really useful. Thank you a lot.

  • @harrisonthegr8526
    @harrisonthegr8526 Před 3 lety +29

    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

  • @josephteweilissah5491
    @josephteweilissah5491 Před rokem +1

    Perfectly done thank you sir

  • @fahembluebluefahem5516
    @fahembluebluefahem5516 Před 7 lety +13

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

  • @DiyaSewnarain
    @DiyaSewnarain Před rokem

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

  • @osaijeigbafen6323
    @osaijeigbafen6323 Před 3 lety +1

    This guy is a life saver

  • @juliachonarzewski5870

    This is exactly what I needed

  • @nicholasbathiya3052
    @nicholasbathiya3052 Před rokem

    Kudos to your effort sir.

  • @gontsekganyago4079
    @gontsekganyago4079 Před 2 lety

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

  • @resilientfool7191
    @resilientfool7191 Před 9 měsíci

    So comprehensible yet so mind boggling

  • @zekariyasngusu2368
    @zekariyasngusu2368 Před 3 lety

    Thank you this is the best channel

  • @archimedeis
    @archimedeis Před 2 lety

    Thank you so much for these.

  • @videolife7264
    @videolife7264 Před 3 lety +4

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

  • @ZakiAsir
    @ZakiAsir Před 4 lety +1

    You are the saint of all students

  • @Chrisymcmb
    @Chrisymcmb Před 4 lety

    Thanks m8, I really needed that

  • @ImperialAssassi4U
    @ImperialAssassi4U Před 4 měsíci

    Hi, is the pre-calculus video playlist in order or is it all mixed? As in, if I wanted to teach myself it would I need to follow the specific order? These videos on Logs come a lot later in the playlist after more complex things like Quotient rule

  • @sskchannelallsubjects4421

    Superb fantastic mind-blowing sir

  • @Devil-dz2jm
    @Devil-dz2jm Před 3 lety +1

    Man, I love your content so damn much

  • @shamusemery3188
    @shamusemery3188 Před 4 lety +3

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

  • @bonusben3486
    @bonusben3486 Před 6 lety +5

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

  • @itsss.l
    @itsss.l Před rokem

    He’s just the best ❤❤

  • @keishiekim6111
    @keishiekim6111 Před 4 lety +2

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

    • @hiyashah2335
      @hiyashah2335 Před 4 lety

      oh the british people... mathS lmao

    • @ivashehu7097
      @ivashehu7097 Před 3 lety

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

  • @kevsolomy4768
    @kevsolomy4768 Před 6 lety +59

    The struggles of IB maths r real!!!

    • @ilhanyusuf2160
      @ilhanyusuf2160 Před 4 lety +3

      Almostutorials sameee my teacher literally sucks at teaching

    • @aurorg7297
      @aurorg7297 Před 4 lety +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 Před 3 lety +1

      i thought this was taught in myp??

    • @anrajsoni2596
      @anrajsoni2596 Před 3 lety

      Auro R'G SAME.

  • @abrahamekpe3679
    @abrahamekpe3679 Před 2 lety +1

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

  • @christianayiah9071
    @christianayiah9071 Před 2 lety +1

    Always best in wat u do

  • @njelekaharriet6107
    @njelekaharriet6107 Před rokem +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

  • @herangao4685
    @herangao4685 Před 5 lety +1

    man u saved me before my test

  • @myzahra4029
    @myzahra4029 Před 5 lety

    that's helpful , thank you

  • @yasinacademy1145
    @yasinacademy1145 Před 2 lety

    I like ur video it is very helpful

  • @atharvsingh3185
    @atharvsingh3185 Před 6 lety

    Thanks it really helped .....

  • @giemar8307
    @giemar8307 Před 3 lety

    Thank you very much Sir..

  • @GhulamMurtaza-SSGC
    @GhulamMurtaza-SSGC Před rokem

    Thanks 😍😍😍😍 very nice teaching.❤❤

  • @laurenorourke2442
    @laurenorourke2442 Před 4 lety +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 Před 2 lety +1

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

    • @laurenorourke2442
      @laurenorourke2442 Před 2 lety +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 Před 2 lety +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.

  • @Ioa_kun
    @Ioa_kun Před 2 měsíci

    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

  • @vashishpersad269
    @vashishpersad269 Před 2 lety

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

  • @PhillipClarkePhotography
    @PhillipClarkePhotography Před 6 lety +53

    Thanks Mark Wahlberg!

  • @theengineeringstudent2678

    So interesting!

  • @thomassidoti5496
    @thomassidoti5496 Před 19 dny

    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

  • @programmingbezaleel
    @programmingbezaleel Před 2 lety

    Thank you so much.

  • @Deaxon1
    @Deaxon1 Před 5 lety +1

    I have an exam today, thanks.

  • @donotdisturb5127
    @donotdisturb5127 Před 2 lety +4

    My math exam is in 10 minutes pray for me 😭

  • @yina6816
    @yina6816 Před 6 měsíci

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

  • @7sevenAM
    @7sevenAM Před rokem

    i love this guy so much😭😭😭😭😭

  • @firayihonese4127
    @firayihonese4127 Před rokem

    No question this guy is a genius

  • @zeph8620
    @zeph8620 Před 4 lety

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

  • @jmmshorts7130
    @jmmshorts7130 Před 3 lety

    Man you are a savior

  • @teaaaaa1691
    @teaaaaa1691 Před 3 lety +1

    THANK YOUUU!!

  • @PaleBlueDotCitizen
    @PaleBlueDotCitizen Před 3 lety +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.

  • @nashbrown1725
    @nashbrown1725 Před 4 lety

    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

  • @beverlyfrancis8433
    @beverlyfrancis8433 Před 4 lety

    Thank you.

  • @thomassidoti5496
    @thomassidoti5496 Před 2 měsíci

    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 Před 19 dny

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

  • @Airborneworms
    @Airborneworms Před 6 měsíci

    where are you getting a third from?

  • @AdityaShinde_11
    @AdityaShinde_11 Před 3 lety

    Wonderful
    #DefinationsForStudents

  • @serinacat4781
    @serinacat4781 Před 4 lety

    Very helpful thanks haha

  • @nathanmofya3866
    @nathanmofya3866 Před rokem +1

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

  • @happyfeet7123
    @happyfeet7123 Před 4 lety +10

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

    • @yatoboy9968
      @yatoboy9968 Před 2 lety

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

    • @happyfeet7123
      @happyfeet7123 Před 2 lety

      @@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 Před 2 lety

      @@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 Před 2 lety

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

    • @yatoboy9968
      @yatoboy9968 Před 2 lety

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

  • @roccomelodino4347
    @roccomelodino4347 Před 3 měsíci

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

  • @jupiterisalive
    @jupiterisalive Před měsícem

    thank you

  • @ADawg467
    @ADawg467 Před 4 lety +7

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

  • @hiyashah2335
    @hiyashah2335 Před 4 lety

    ILY LIFE SAVER

  • @nelsonl.barquio2281
    @nelsonl.barquio2281 Před 3 lety +1

    How to simplify; log2/ log25- log5?

  • @mayrasancruz
    @mayrasancruz Před 7 lety +1

    love this! !!

  • @potrkca
    @potrkca Před 6 lety +1

    hi. how do you make a one-off donation to you?

  • @user-ny5kv3fy6x
    @user-ny5kv3fy6x Před 8 měsíci

    Can I send a question basing on the topic

  • @kingmonpillay9844
    @kingmonpillay9844 Před 3 lety

    🙏🏽 You're a Math 👼

  • @miinjung
    @miinjung Před 2 lety +6

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

  • @mangotango740
    @mangotango740 Před 2 lety

    what the difference between algebra 2 and precalc?

  • @briggshightower7959
    @briggshightower7959 Před 7 lety +6

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

  • @youssifmansour516
    @youssifmansour516 Před 5 lety +1

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

  • @Eds3.14
    @Eds3.14 Před 5 lety +16

    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 Před 4 lety

      Eduardo Ramirez have you ever seen the movie split ?

    • @afiazaman6622
      @afiazaman6622 Před 3 lety

      @@angelan924 I saw it its great!

  • @vexic2642
    @vexic2642 Před 4 lety

    tysm mate

  • @helloworld1272
    @helloworld1272 Před 2 lety

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

  • @sharannandakumar7809
    @sharannandakumar7809 Před 2 lety +1

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

  • @akhonaakhona
    @akhonaakhona Před 2 měsíci

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

  • @thanoswasright2085
    @thanoswasright2085 Před 3 lety

    THANK YOUUUU

  • @anomamirihagalla2870
    @anomamirihagalla2870 Před 3 lety

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

  • @sharonann3259
    @sharonann3259 Před rokem

    rombe nandri ya🙏

  • @sohinimishra9202
    @sohinimishra9202 Před 4 lety

    a good vedio