How to solve an exponential equation with two different bases

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  • เผยแพร่เมื่อ 26 ม.ค. 2025

ความคิดเห็น • 183

  • @Delmontey
    @Delmontey 4 ปีที่แล้ว +50

    I’d seriously do anything to have this guy as my professor. You are the reason I passed algebra AND trig in my past two semesters!! It’s calculus time!!

  • @aims1239
    @aims1239 6 ปีที่แล้ว +88

    I wish this guy was my maths teacher. You are the reason I will pass my exam!🙏🏻thank tou

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +10

      you got this Aimee! happy to be able to help you out!

  • @benschuhle1532
    @benschuhle1532 6 ปีที่แล้ว +61

    5:04 "yeahhhh.... J"

  • @-infinity0infinity61
    @-infinity0infinity61 3 ปีที่แล้ว

    Look or listen to the comments!! These were true 50 years ago for me. So many people could have become so much more. You and a few others are helping some to not be failures. Thank you sir for being there. Gretch

  • @libbyfinkerbocker705
    @libbyfinkerbocker705 7 ปีที่แล้ว +9

    You are amazingly patient, and extremely helpful. You remind me of my professor, and it's just like I have him home with me. Thank you!!!

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว

      happy to be there for you

  • @ysoof_fn6319
    @ysoof_fn6319 4 ปีที่แล้ว

    you are the best teacher that teache's math you are incradible

  • @P_fromTheValley
    @P_fromTheValley 6 ปีที่แล้ว +6

    Great job in explaining the steps. Thank you!

  • @simeon2851
    @simeon2851 9 หลายเดือนก่อน

    When students applaud like they did at the end you get your reward as a teacher. You know you did your job well.

  • @iTerracottaPie
    @iTerracottaPie 5 ปีที่แล้ว +4

    Dear Mr. Brian,
    I would like to thank you first for your extraordinary explanation of mathematics!
    I'm really facing hard times solving this problem; i checked your channel for help but didn't find relevant one, so here it is:
    solve the equation e^2x = 2^x−4
    Many thanks ❤️

    • @redstoneplayz09
      @redstoneplayz09 5 ปีที่แล้ว +1

      I tried it and it's a pretty tough question, but basically you take the natural log on both sides and do some stupid stuff until you get the answer...

    • @sreshtam
      @sreshtam 2 ปีที่แล้ว +1

      Hey! There is a Symbolab Calculator that can help you out! It shows all the steps, and I think it can help you!

  • @karimjiwa9279
    @karimjiwa9279 6 ปีที่แล้ว +13

    If you were my high school instructor I would learned so much more and could have become a rocket scientist.

  • @noahzaret2707
    @noahzaret2707 4 ปีที่แล้ว +2

    You are the best man. Currently taking a pre calc summer course to get ahead during the pandemic and the videos they supply are so confusing and ambiguous. I used to use your videos as a fallback if I didn't understand those but now I just go straight to you. Appreciate what you're doing keep it up!

  • @alejandromarco8366
    @alejandromarco8366 6 ปีที่แล้ว +4

    I really like your lessons you’ve cleared all my doubts and I make less mistakes now. Full on respect.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      cheers Alejandro! happy to be able to help you out!

  • @ahgajaye
    @ahgajaye 7 ปีที่แล้ว +7

    i literally come to all of your videos for clarification. thank you so much omg!! 😭

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +3

      you are very welcome!

    • @ahgajaye
      @ahgajaye 7 ปีที่แล้ว +1

      i made a 94 😭😍

  • @ddouglas8161
    @ddouglas8161 3 ปีที่แล้ว +1

    One thing I did to teach my brother one to one for his Algebra 2 class is I gave him a problem like this
    2^2x+4=2^x+3
    To demonstrate why we can easily drop the base
    (2x+4)log2=(x+3)log2
    Then we divided out log2 and got
    2x+4=x-3
    Did some basic algebra and got x=7.

  • @akermiyu
    @akermiyu 6 ปีที่แล้ว +1

    How are you suppose to know to subtract -3x?

  • @burhanchughtai6775
    @burhanchughtai6775 3 ปีที่แล้ว +4

    Five seconds in: "A lot of students will forget umm...basically how do you solve..."
    me 2 years after the class trying to place into college classes

  • @lalalim7028
    @lalalim7028 3 ปีที่แล้ว

    I wish for having a teacher like you in my school............

  • @misaelsoria3965
    @misaelsoria3965 4 ปีที่แล้ว +2

    I have been searching for this 6 months THANK YOU!

  • @sarchelsami5431
    @sarchelsami5431 ปีที่แล้ว

    Excellent , what a intelligent Explane

  • @KageDaShadow
    @KageDaShadow 6 ปีที่แล้ว +6

    thank you so much for the clearing up everything

  • @mreyeball3085
    @mreyeball3085 4 ปีที่แล้ว +1

    you're a lifesaver man appreciate your effort!!

  • @ayohazem.
    @ayohazem. 2 ปีที่แล้ว

    this guy is seriously good at teaching, thanks!

  • @ruthlessrubberducky5729
    @ruthlessrubberducky5729 ปีที่แล้ว

    Thanks for the help on my homework 8 years later.

  • @sefotomatsaodi4616
    @sefotomatsaodi4616 3 ปีที่แล้ว

    7 years later and we're still here.Thank you sir this seems easier than i thought

  • @belalhassoun4052
    @belalhassoun4052 ปีที่แล้ว

    what do you do if the base is 7 on one side and on the other its 4

  • @casvdw8204
    @casvdw8204 2 ปีที่แล้ว +1

    Im 15 and solved this in 20 seconds in my head. How old are these students and where are they from?

    • @vive335
      @vive335 2 ปีที่แล้ว

      You shouldn’t be here then

  • @Yadav_bhai_3003
    @Yadav_bhai_3003 3 ปีที่แล้ว

    How can we solve when there is + or - sign between 2 terms

  • @sreshtam
    @sreshtam 2 ปีที่แล้ว +1

    Thank you so much for teaching this subject! This will be on my quiz tomorrow, and I hope I pass. Your explanation is wonderful. I am happy I found this channel at the right time!

  • @wilberkennedy3226
    @wilberkennedy3226 ปีที่แล้ว

    Verry informative and useful

  • @JMPulido55
    @JMPulido55 7 ปีที่แล้ว +26

    Mr. McLogan, you are a great exponent of ...exponents (no pun intended). Thank you.

  • @christopherjones5700
    @christopherjones5700 2 ปีที่แล้ว

    i really like your lessons you cut straight to the point and your students being present during the video kind of makes the lesson feel more realistically paced for how fast a noob's brain would take to process the information it's like we're in class with you lol

  • @gholmes182
    @gholmes182 2 ปีที่แล้ว

    Excellent thanks.

  • @itskiff8636
    @itskiff8636 5 ปีที่แล้ว

    is this a pre calc class?

  • @theJstate
    @theJstate 6 ปีที่แล้ว +2

    Last minute cramming for my final. Your vids are a godsend

    • @theJstate
      @theJstate 6 ปีที่แล้ว +1

      I had to teach myself precalc this semester 😵

  • @pratyasha279
    @pratyasha279 ปีที่แล้ว

    alright, but instead of 9 and 3 as bases, what if we hade 5 and 3 for ex? 9 can easily be converted to 3^2 (what about 5 and 3)? kindly suggest sir.

  • @annahrealebogamantswedi5063
    @annahrealebogamantswedi5063 3 ปีที่แล้ว

    I really wish I had a maths teacher like you

  • @nezukochan_12473
    @nezukochan_12473 10 หลายเดือนก่อน

    What are we going to if they have different bases?

  • @kenbolo1849
    @kenbolo1849 6 ปีที่แล้ว +2

    better than my school math teacher...thank you so much

  • @OmPatel-hl4ri
    @OmPatel-hl4ri 6 ปีที่แล้ว +1

    How would you solve it if everything else stayed the same but the base of 3 was another base so you can’t make the 2 side have the same base? How would you solve it if it was like that

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      take the log of both sides and use a calculator

  • @vive335
    @vive335 2 ปีที่แล้ว

    2:35 he said it incorrectly, it’s supposed to be three *to the power* of 3x + 3, not three times 3x + 3. Because the viewer might mistaken it to be multiplication rather than powers.

  • @nancycharles7940
    @nancycharles7940 6 ปีที่แล้ว

    Marie Charles
    MAC 1105 Tuesday-Thursday 9:30-10:45
    Two exponents with the same base equal to another their powers are also equal to each other.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      not sure what you are promoting

  • @marthjotojot5556
    @marthjotojot5556 9 หลายเดือนก่อน

    Hi, question 😭 why do you have to subtract -3 on both sides?

    • @brianmclogan
      @brianmclogan  9 หลายเดือนก่อน

      Property of equality

  • @kittythefool
    @kittythefool 2 ปีที่แล้ว

    You are the reason i'm understanding this, thank you so much

  • @blazeridhz548
    @blazeridhz548 3 หลายเดือนก่อน +1

    bro is definitely on my top 5 favourite bald guys list

  • @jameswelch8076
    @jameswelch8076 5 ปีที่แล้ว

    Thank you so much Mr. McLogan

  • @abdullahannan9313
    @abdullahannan9313 ปีที่แล้ว

    brooooooo
    Thank u sooooo much
    GOated maths teacher

  • @glennrickelton4093
    @glennrickelton4093 5 ปีที่แล้ว

    Great explanation and teaching method

  • @javiervega4668
    @javiervega4668 4 ปีที่แล้ว

    Dude! You rock! I'm checking my kid's AP Algebra 2 HW and you just distill this stuff so well... Thanks! This is what technology is for.

  • @theodoresweger4948
    @theodoresweger4948 3 ปีที่แล้ว

    Appreciate the mention of common mistakes this helps very much, because we learn from what is a common mistake...

  • @mandyzhang4492
    @mandyzhang4492 7 ปีที่แล้ว +2

    its a wonderful video !!! just what i needed !!!!!!!!!!!!!!!!!!!!!

  • @Intskints
    @Intskints 7 ปีที่แล้ว +4

    Exponents test coming up, thanks for the video

  • @averagebodybuilder
    @averagebodybuilder 4 ปีที่แล้ว

    They can be written as the same base. Try 2^x= 3^(x-1)-1

  • @devondevon4366
    @devondevon4366 4 ปีที่แล้ว

    9^2x-1= 3^3x+3 = 3^2(2x-1)=3^3x+3 4x-2=3x+3 , Answer x=5
    substituting 5 in original equation gives 9^9=3^18 , 387,420,489 = 387,420,489

  • @TaijiArban
    @TaijiArban 4 ปีที่แล้ว

    Easily understandable

  • @AhmedMohammed-u4t
    @AhmedMohammed-u4t หลายเดือนก่อน

    Excellent

  • @beautyafrane7116
    @beautyafrane7116 4 ปีที่แล้ว

    Thanks soon much.But what if the base has the variable. Teaching is very clear.Big ups

  • @chelseamaybattung8899
    @chelseamaybattung8899 6 ปีที่แล้ว

    can i ask? you subtracted both sides by -3x to? to remove the value of x? did you add 2 on both sides to get the value of x?

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      yes you want to use inverse operations to isolate the x

  • @thatomofolo452
    @thatomofolo452 ปีที่แล้ว

    Awesome 👍👍

  • @naaguteju3555
    @naaguteju3555 4 ปีที่แล้ว

    🙂Your concept was really interesting... I hated this topic before watching ur video... Thank you sir... Ur really a good maths teacher. 🙂

  • @beezow7113
    @beezow7113 5 ปีที่แล้ว +4

    realizing these kids in class are like 21 now and not my same age

  • @Leivarx7
    @Leivarx7 7 หลายเดือนก่อน

    Thanks so much!

    • @brianmclogan
      @brianmclogan  7 หลายเดือนก่อน

      You're welcome!

  • @etkorbs
    @etkorbs ปีที่แล้ว

    What happens if the two numbers don't have a common base?

    • @brianmclogan
      @brianmclogan  ปีที่แล้ว +1

      Gotta make them or use logs

  • @eduardsmotesco4344
    @eduardsmotesco4344 4 ปีที่แล้ว

    this is so great mate!! TYSM wish he was my math teacher

  • @duanebg
    @duanebg 4 ปีที่แล้ว

    love your videos. If im lost with something i seach for the topic and hope your videos come up.

  • @TheTacoWagonTV
    @TheTacoWagonTV 7 ปีที่แล้ว +4

    1000th viewer, thanks for the help!

    • @brianmclogan
      @brianmclogan  7 ปีที่แล้ว +1

      awesome! happy to help

  • @9zhwo
    @9zhwo 3 ปีที่แล้ว

    Thank you

  • @pedroluisnvo
    @pedroluisnvo 5 ปีที่แล้ว

    Very good 👍

  • @StretchMarksGuy
    @StretchMarksGuy 4 ปีที่แล้ว

    Thanks so much this helped a lot

  • @mr.drewing4570
    @mr.drewing4570 3 ปีที่แล้ว

    where is the two different bases in that video?

  • @aveltayong1351
    @aveltayong1351 4 ปีที่แล้ว +1

    In the end, Where did the +2 come from?

  • @MD-cd7em
    @MD-cd7em 6 ปีที่แล้ว +1

    ENJOY YOUR VIDEOS!

  • @stanleykimutwa4351
    @stanleykimutwa4351 4 ปีที่แล้ว +1

    I have a question

  • @eikennewman360
    @eikennewman360 6 ปีที่แล้ว

    what happens if the number is not a perfect square such as 10? Also what happens if there is no way to get the same base? for example (-1/-60)^-7x=10^(16x-27) is the question i need help with.

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      if the base cannot be written as a power so you can apply the one-to-one property then you will need to use a calculator and logarithms

    • @eikennewman360
      @eikennewman360 6 ปีที่แล้ว

      ok thanks for your help, I love your videos by the way!

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      cheers happy to help Eiken!

  • @NicolePontejos
    @NicolePontejos 10 หลายเดือนก่อน

    i knew he was a great math teacher when i saw the bald head! hope youre still teaching and doing well mr logan

  • @Unknown_416
    @Unknown_416 6 ปีที่แล้ว

    Perfect video..thank you!

  • @fzdark8378
    @fzdark8378 4 ปีที่แล้ว

    4^x + 2^2x-3 = 9/8

  • @gracelaurian7415
    @gracelaurian7415 6 ปีที่แล้ว

    nice teacher I understand form Tanzania

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว

      awesome! happy to be able to help Grace

  • @augijyotbali2131
    @augijyotbali2131 3 ปีที่แล้ว

    Sir thank u so much, can you please help mr solve this too
    5^2x -1 - (25)^x-1 = 2500

  • @enigmatian
    @enigmatian 7 ปีที่แล้ว +1

    Good stuff.

  • @ibmi2491
    @ibmi2491 4 ปีที่แล้ว

    last move was fucking cool 👍🏻😂

  • @kyleparsotan6799
    @kyleparsotan6799 6 ปีที่แล้ว +1

    11^3x = 5^x+5; how do u solve for x then it would be no solution???

  • @irwandasaputra9315
    @irwandasaputra9315 3 ปีที่แล้ว

    3^2(2x-1)=3^3x+3
    2(2x-1)=3x+3
    4x-2=3x+3
    4x-3x=3+2
    x=5

  • @theylovelexi.
    @theylovelexi. ปีที่แล้ว

    This man is talking gibberish to me I cannot understand this lesson of math at all. Algebra 1 imma have to repeat it and I will cry

  • @rainjiali
    @rainjiali 3 ปีที่แล้ว

    Why did he have to divide it with -3? Why not just use 3? Same question for the next step.. Why add positive 2 instead of -2? Please help

  • @t.a.o.n.a
    @t.a.o.n.a 3 ปีที่แล้ว

    Better to understand

  • @miaplayz290
    @miaplayz290 4 ปีที่แล้ว +1

    Mac lethal of maths

  • @kingvirginiaverg7528
    @kingvirginiaverg7528 4 ปีที่แล้ว

    Okkaaay but what if you have to use logarithms since the bases don’t equal. ex.) 3^(x+1)=4^(2x)

  • @sergiomelendez2198
    @sergiomelendez2198 ปีที่แล้ว

    I wish you were my teacher

    • @brianmclogan
      @brianmclogan  ปีที่แล้ว

      I just enjoy helping others.

  • @savannahjones4195
    @savannahjones4195 6 ปีที่แล้ว +25

    like if you just looked at the dude hair the whole time

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +2

      haha good horseshoe going on there

  • @pleaseexcusemydeeplyawkwar4972
    @pleaseexcusemydeeplyawkwar4972 3 ปีที่แล้ว

    Using this for a discrete math course 😂😭 I forgot all my algebra. To be fair, it's been 7 years. But I took calculus 3 two years ago!

  • @veronicaprescott2838
    @veronicaprescott2838 6 ปีที่แล้ว

    But for the (x) for 3 to the second power equals to 3, x, couldn’t it be 1 ??

  • @gabrieladacosta8346
    @gabrieladacosta8346 4 ปีที่แล้ว

    better than my teacher corona has got me stupid

  • @adamhossam.
    @adamhossam. 3 ปีที่แล้ว

    ur a 🐐✨

  • @brettharpt1284
    @brettharpt1284 4 ปีที่แล้ว

    This is nice but u cant make every every base equal. I hate when youtube videos do shortcuts like this

  • @nithin1729s
    @nithin1729s 5 ปีที่แล้ว

    I think this can be more easily solved by logarithms

  • @sunnysharma5166
    @sunnysharma5166 4 หลายเดือนก่อน +1

    AFTER SOLVING WE GET X=5

  • @goldbergsam1540
    @goldbergsam1540 6 ปีที่แล้ว

    If you were my teacher , i wouldnt waste my time on finding things help on youtube (math) anymore xD

    • @brianmclogan
      @brianmclogan  6 ปีที่แล้ว +1

      happy to be able to help, no worries my students do it too

  • @Tahmin-yh7rs
    @Tahmin-yh7rs 5 ปีที่แล้ว

    Yeah like u were a boss

  • @danyrefae7485
    @danyrefae7485 4 ปีที่แล้ว

    why did he add 2 at the end?

  • @Glitterati984
    @Glitterati984 5 ปีที่แล้ว

    Can I please have you as my teacher