Lesson 3 Logarithms, Solving Logarithmic and Exponential Equations

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  • เผยแพร่เมื่อ 5 ก.พ. 2025

ความคิดเห็น • 77

  • @niceplayer856
    @niceplayer856 ปีที่แล้ว +16

    From India but also watch your videos just because of your amazing teaching style🔥🔥

  • @HumphreyVV
    @HumphreyVV ปีที่แล้ว +2

    Hallo Mr H Tutoring,
    I am 80 years, and had the need to "brush off" some dust on past knowledge of your Topic.
    Well, after your video lessons, again ...I am on top of the subject.
    You have a marvellous way of making things look easy.
    Today is Christmas dec 26 in Holland, Merry Christmas to you, THANK YOU, and continue
    making things "look easy".

    • @mrhtutoring
      @mrhtutoring  ปีที่แล้ว +2

      Thank you.
      Merry Christmas!

  • @citizenworld8464
    @citizenworld8464 ปีที่แล้ว +5

    Once more, you render math simple and exciting.
    Again, thank you so much for sharing your knowledge, Mr H!

  • @cristianlezama5564
    @cristianlezama5564 ปีที่แล้ว +12

    Your videos and the time you take to make them are truly appreciated. Thank You very much!

  • @devonwilson5776
    @devonwilson5776 ปีที่แล้ว +3

    Greetings. Thanks always for sharing. Have a great day

  • @bellemiscellaneous9417
    @bellemiscellaneous9417 ปีที่แล้ว +10

    Thank you for your videos! Very easy to understand!

  • @suvinikaldera-u9s
    @suvinikaldera-u9s 2 หลายเดือนก่อน

    i am soo happy about this lesson .becouse the lesson was very hard to me but now it very ezy to me .thnk you sir

  • @iwjrbf99
    @iwjrbf99 ปีที่แล้ว +16

    we would like to see u solving calculus problems, huge support from hong kong😻😻

    • @HalifaxHercules
      @HalifaxHercules 8 หลายเดือนก่อน +1

      I took some differential calculus courses when I was a Business student at Saint Mary's University in Halifax, Canada during the mid 1990s.
      While I'm familiar with limits, derivatives, and integrals, I would like to see some optimization and Law of Diminishing returns type questions.

  • @castiodette
    @castiodette ปีที่แล้ว +1

    Damn! I wish you were my teacher in math when I was in school. I would have been more attentive! Lol. You make math so easy! Thank you sir!

  • @amramjose
    @amramjose ปีที่แล้ว +3

    Nicely done, professor.

  • @RaoNaeem-g4h
    @RaoNaeem-g4h ปีที่แล้ว +2

    Good work Sir

  • @trevorjames4619
    @trevorjames4619 ปีที่แล้ว +29

    Meanwhile, some student is paying an arrogant professor $10,000 a semester

  • @alphasaffi9230
    @alphasaffi9230 ปีที่แล้ว

    Thank you very much sir may God richly blessed you for the time you take to impact knowledge in our lives.

  • @charliebamford2807
    @charliebamford2807 5 หลายเดือนก่อน

    Superb!

  • @BWhiteHat
    @BWhiteHat ปีที่แล้ว +2

    First, also again, love these videos

  • @baselinesweb
    @baselinesweb 9 หลายเดือนก่อน

    Thank you for the great review.

  • @andresomarlegarda616
    @andresomarlegarda616 ปีที่แล้ว +5

    Gracias profesor, excelente, las matematicas el lenguaje universal.

  • @JonanKent
    @JonanKent 4 หลายเดือนก่อน

    Wow that's awesome

  • @alphasaffi9230
    @alphasaffi9230 ปีที่แล้ว

    Wow it amazing teacher thank you i appreciate you a lot sir i enjoying everything about you sir you have taken time to explain each step yeah

  • @o0QuAdSh0t0o
    @o0QuAdSh0t0o 6 หลายเดือนก่อน +1

    7:27 efficient to another level 💪💪

  • @Nothingx303
    @Nothingx303 ปีที่แล้ว

    😊 thank you sir very useful questions 👍

  • @balukuchrispus4004
    @balukuchrispus4004 ปีที่แล้ว

    My teachers were hardening math. Made easy here, waiting for integration, differentiation and flow chart

  • @BruceLee-io9by
    @BruceLee-io9by 11 หลายเดือนก่อน

    Dear professor, a big greeting from Italy. Thanks for your lessons.

  • @drask1717
    @drask1717 ปีที่แล้ว +1

    You're the best

  • @88kgs
    @88kgs 10 หลายเดือนก่อน

    Thank you so much sir.
    Regards🙏

  • @merc340sr
    @merc340sr ปีที่แล้ว

    this video is AMAZING!

  • @RaoNaeem-g4h
    @RaoNaeem-g4h ปีที่แล้ว +2

    I can recommend You an other channel for math Olympiad preparation

  • @lawrencelawsen6824
    @lawrencelawsen6824 8 หลายเดือนก่อน

    I love this guy

  • @apolloapollo3248
    @apolloapollo3248 8 หลายเดือนก่อน

    ❤❤ beyond

  • @haroldjosephcollinsIII
    @haroldjosephcollinsIII ปีที่แล้ว

    When the Bass meets the Treble i listen. When i Beat is about the nature of the Record i say "Turn it up!" I'd like to say something when i listen to a Record i am listening with an Ear to say i like it or i hate it. I don't minding thinking for you about this Lesson, but i am about the Record. I am the Owner of a Peer, but i am the CEO of Shore Entertainment Incorporated a California Corporation. ~ CEO this Record.

  • @newme8084
    @newme8084 ปีที่แล้ว

    Thank you ❤

  • @thethinkinggamer1864
    @thethinkinggamer1864 ปีที่แล้ว +1

    Hello sir, you're method of teaching is extremely helpful, concise and clear, I'm from Canada and I'm wondering, which grade I will be using logs? Since I've just reached grade 11 and I've started quadratics.

    • @mrhtutoring
      @mrhtutoring  ปีที่แล้ว

      Usually in the 9th or 10th grade in the US

    • @henna-designs-and-paint2268
      @henna-designs-and-paint2268 ปีที่แล้ว

      We learned logs in grade 12 pre-calculus classes in Canada. I hope it helps

  • @farhanfouadacca
    @farhanfouadacca 10 หลายเดือนก่อน

    Nice

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    log_2(3)+log_2(x)=log_2(5)+log_2(x-2)
    log_2(3x)=log_2[5(x-2)]
    3x=5(x-2)
    3x=5x-10
    3x-5x=-10
    -2x=-10
    x=5 ❤

  • @moeberry8226
    @moeberry8226 ปีที่แล้ว

    Good video bro but I want to point out that exponential equations can have imaginary solutions if you consider x to be a complex number. For example e^x=-2 has a complex solution.

    • @mrhtutoring
      @mrhtutoring  ปีที่แล้ว +1

      x=ln(-2)?
      The equation you gave has no solution.

    • @moeberry8226
      @moeberry8226 ปีที่แล้ว

      @@mrhtutoring the equation I gave does have a solution x=ln(-2) can be broken into ln(-1)+ln(2)=ln(e^(ipi))+ln(2)=ipi+ln(2) as the principal root, this equation has infinitely many complex solutions. In general the solution is (2n+1)ipi +ln(2) where n is any integer and i is the sqrt (-1) so in our base case when n=0 we get the solution I stated 2 sentences back.

  • @charlieibkiss4068
    @charlieibkiss4068 ปีที่แล้ว

    Good shit professor I love it!

  • @ZemzemMohammed-y6z
    @ZemzemMohammed-y6z 3 หลายเดือนก่อน

    Please can u apload graph of lagarithm...some thing like domain,simple trick

  • @terrypold
    @terrypold 9 หลายเดือนก่อน

    In skydiving you have to account for air resistance. So, assuming that the skydiver is falling in a vacuum the calculations are correct. And, the skydiver is dead.

  • @starnews3551
    @starnews3551 ปีที่แล้ว

    Thank you ❤

  • @ankitnauriyal6214
    @ankitnauriyal6214 ปีที่แล้ว

    Sir please explain under the root when can we cancel the root and when we can can't please sir make a vedio 💖

  • @ART7N23
    @ART7N23 ปีที่แล้ว +1

    Sir can u do teach vector basic ( short video )

  • @mayankshirali1158
    @mayankshirali1158 ปีที่แล้ว +2

    can you make a video about binomial theorem?? pleaseeee

  • @benben90b
    @benben90b 4 หลายเดือนก่อน

    thank you

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    e^(2x+1)=200
    2x+1=ln(200)
    2x=ln(200)-1
    x=[ln(200)-1]/2 ❤

  • @shukalaynsk6834
    @shukalaynsk6834 10 วันที่ผ่านมา +1

    Transcribetion is overleaping

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    3^(x+2)=7
    x+2=log_3(7)
    x=-2+log_3(7) ❤

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    log_5(x+1)-log_5(x-1)=2
    log_5[(x+1)/(x-1)]=2
    (x+1)/(x-1)=25
    x+1=25(x-1)
    x+1=25x-25
    x-25x=-1-25
    -24x=-26
    x=13/12 ❤

  • @robertjohnson1962
    @robertjohnson1962 ปีที่แล้ว

    If math were jazz, you’d be Miles Davis.

  • @jmich7
    @jmich7 ปีที่แล้ว

    We are sure we can use the law of exponents, for the number was elevated to an exponent, right? There are many numbers; that elevated to an exponent allow us to use the log law of exponents. What numbers do not allow us to do so? Would we have to invent such numbers? To begin with all the numbers minus times a positive integer . We cannot take the log of a negative number...Let us start by saying that the log of a negative number is undefined........Or assuming the log of a negative number is undefined........

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    4+3[log(2x)]=16
    3[log(2x)]=12
    log(2x)=4
    10^[log(2x)]=10^4
    2x=10000
    x=5000 ❤

  • @suvinikaldera-u9s
    @suvinikaldera-u9s 2 หลายเดือนก่อน

    im from sri lanka

  • @haroldjosephcollinsIII
    @haroldjosephcollinsIII ปีที่แล้ว

    When i say i am a Dr. with no Degree i am, but i'll never say it to you Reader. I am smart, so i listen. I don't like thinking for you Reader, but i do. I am not about talking to you Reader. I am about my Doctrine. When i think about it i see it Reader. I don't like being about my Name and not talking Reader. I listen. I talk. I think, so i am Reader. When i listen Reader. I listen. When i think Reader i listen. When i talk Reader i am thinking about me Reader. This Dr. Degree is a Science Reader. And i like it. Bye Reader. ! Holder of a Science Degree. 🙂

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    log(x+2)+log(x-1)=1
    log[(x+2)(x-1)]=1
    (x+2)(x-1)=10
    x^2+x-2=10
    x^2+x-12=0
    (x+4)(x-3)=0
    x+4=0
    x=-4 (x[>=]-2; x[>=]1) extraneous solution
    x-3=0
    x=3 ❤

  • @ashu4315
    @ashu4315 ปีที่แล้ว

    Lesson is nice sir but try to include some tough questions

  • @ChavoMysterio
    @ChavoMysterio ปีที่แล้ว

    e^2x-e^x-6=0
    (e^x)^2-e^x-6=0
    (e^x+2)(e^x-3)=0
    e^x+2=0
    e^x=-2 (x>0)
    e^x-3=0
    e^x=3
    x=ln(3) ❤

  • @silent99gamer
    @silent99gamer ปีที่แล้ว +1

    This is eassy

  • @abijahmarshal
    @abijahmarshal 9 หลายเดือนก่อน

    Anybody for JEE 😊

  • @ailurophile-p8n
    @ailurophile-p8n ปีที่แล้ว

    Söylediklerinizi anlamıyorum ve buna gerek de yok çünkü yazdıklarınızı anlıyorum matematiğin dili evrensel

  • @drewbanares3577
    @drewbanares3577 ปีที่แล้ว

    @10:52 Isn't something raised to the -x just the same as 1/x?

    • @carultch
      @carultch ปีที่แล้ว

      No. x^(-1) is the same as 1/x. Negative exponents imply reciprocals in general, where the negative exponent becomes a positive exponent, once you move the power term downstairs.
      However, if x is in the exponent, instead of the base, it must remain in an exponent in some form or another. B^(-x) is not the same thing as 1/x of B/x, or anything else that only has x in the denominator. It is 1/B^x.