Graphing logarithmic functions | Exponential and logarithmic functions | Algebra II | Khan Academy

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  • Опубликовано: 2 окт 2024
  • Graphing Logarithmic Functions
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    Algebra II on Khan Academy: Your studies in algebra 1 have built a solid foundation from which you can explore linear equations, inequalities, and functions. In algebra 2 we build upon that foundation and not only extend our knowledge of algebra 1, but slowly become capable of tackling the BIG questions of the universe. We'll again touch on systems of equations, inequalities, and functions...but we'll also address exponential and logarithmic functions, logarithms, imaginary and complex numbers, conic sections, and matrices. Don't let these big words intimidate you. We're on this journey with you!
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Комментарии • 130

  • @betterlatethannever4529
    @betterlatethannever4529 6 лет назад +316

    I've got an hour before my test and this helps. I mean, I'm doomed, but it does help a little

  • @epicned3837
    @epicned3837 9 лет назад +121

    I appreciate my teacher's effort, but I feel you helped me a lot more than he did. Thank you.

  • @robustimus
    @robustimus 8 лет назад +53

    8:58 never TWAT quite touches the y axis. Lmao!

  • @ThatsTypical
    @ThatsTypical 2 года назад +17

    Just always remember: Teachers are just temporary, but Khan academy is eternal!

  • @makemarshall7041
    @makemarshall7041 10 лет назад +4

    You're an amazing teacher! I wish all teachers would simplify everything as well as you do. Thank you! (:

  • @takuax44
    @takuax44 12 лет назад +14

    i stopped school for 4 years, well, basically i skipped WHOLE HIGHSCHOOL due to monetary problems. and now im given a chance to go back, but im old as hell and i dont wanna go back to gradeschool. so with your videos, im gonna try learning everything my batchmates learned in 4 YEARS. in one month.

    • @dhtroy7220
      @dhtroy7220 3 года назад +4

      Bro did u do it?

    • @arrowhazardsimp2590
      @arrowhazardsimp2590 3 года назад +1

      yo how did it go

    • @roxynoz8245
      @roxynoz8245 Год назад

      I believe you're smart, you can learn "4 years" of high school (and MORE) in no time.

  • @jessicabetts8041
    @jessicabetts8041 10 лет назад +30

    Very informative. Studying for a precalc quiz this morning.

    • @jamesjudge7485
      @jamesjudge7485 5 лет назад +6

      @Adam Franek lmao even if she saw your comment she probably wouldn't remember

    • @hayatburak9252
      @hayatburak9252 4 года назад

      Adam Franek lolol asks about a test that was 6 years ago

    • @nejissoul7768
      @nejissoul7768 3 года назад

      @@jamesjudge7485 lmaooo

  • @ethioethi7124
    @ethioethi7124 9 лет назад +11

    Way better than my teacher

  • @GeometryDashDyno
    @GeometryDashDyno 5 лет назад +17

    Khan Academy is one of the best things ever

  • @ShelbySerendipity
    @ShelbySerendipity 11 лет назад +2

    You really should just get my pre-cal teacher's salary because you taught me (and most of my classmates) when he didn't. I can't thank you enough!

  • @zanderfus
    @zanderfus 11 лет назад +1

    THANK YOU KHAN ACADEMY I NOW KNOW I KHHHAAAAN DO THIS!

  • @JollyGreenGordon
    @JollyGreenGordon 10 лет назад +43

    8:57 "Twat." LOL

  • @playernut3529
    @playernut3529 2 года назад

    thank you for your hardwork khan academy, this has been stressing me out for the past few days.

  • @Arijana2010
    @Arijana2010 13 лет назад

    Yay! I have been looking for thes on your channel and they have finally come! Thank you soooo much

  • @AboAli17437
    @AboAli17437 6 месяцев назад

    Thanks, that's helpful

  • @jacquelinemartinez3485
    @jacquelinemartinez3485 4 месяца назад

    Thanks, very good explanation :)

  • @lexinaut
    @lexinaut 9 лет назад +16

    Nicely done! There is a hidden poetry (believe it or not ) to graphing. "Higher than any fireworks finale, longer than any Empire, is the pure flight of the curve seeking Infinity."

  • @josephwise7269
    @josephwise7269 10 лет назад +6

    Next topic for my students - yr 12s, watch this.

  • @myagood3942
    @myagood3942 8 лет назад +10

    lol 5 to the y-eth power... lol... when you're learning math....the bible version. We in the book of logarithms, chapter 5 verse 1 people... open up ya bibles!!

  • @yisforyash
    @yisforyash 13 лет назад +6

    Sal, you have helped me to gain a real intuition for mathematics.
    Thank you (from London).

  • @veerae2269
    @veerae2269 5 лет назад

    Khan academy coming in clutch 🙌

  • @prathambabaria5834
    @prathambabaria5834 6 лет назад

    How would you graph a natural logarithm function?

  • @noodlie2171
    @noodlie2171 4 года назад

    for the first time in my life i actually got a bad math teacher and i cant understand anything she tries to explain,this year im relying on this channel so hard xD

  • @GigiMarieTV
    @GigiMarieTV 10 лет назад +1

    Thank you !

  • @peartreepicturesHD
    @peartreepicturesHD 13 лет назад

    Thanks for all those amazing videos! So practical!

  • @austinchandler3079
    @austinchandler3079 5 лет назад +3

    Great, you didn't show how to gather any information from it...

  • @tahaanouar2453
    @tahaanouar2453 8 лет назад +5

    "SAL" the best teacher I had see it in my studies life ...

  • @irohnman2702
    @irohnman2702 Год назад +1

    12 minutes before exam clutch thanks man love your organisation

  • @kerobadt7807
    @kerobadt7807 3 года назад

    That’s the best

  • @the1ucantbeat
    @the1ucantbeat 10 лет назад +3

    Thank you very much, whoever made this video. Thank you, you have really helped me tonight.

  • @sherarmurray2271
    @sherarmurray2271 6 лет назад +2

    0:33 y'th power! y'th power! Kenny the Klansman was always made fun of for his lisp...

  • @ServentForAnubis
    @ServentForAnubis 13 лет назад +1

    second

  • @SylwekGrega
    @SylwekGrega 11 лет назад

    awesome!!

  • @RushilKoshti
    @RushilKoshti 4 года назад +1

    Sal Khan really loves dark theme.

  • @jackfaber2940
    @jackfaber2940 3 года назад

    Wow. Our maths teacher told us to graph an entirely different inverse function and reverse the x's and y's to get the graph we're looking for... Why didnt I just simply do this as Sal teaches? haha

  • @yasminfatima5948
    @yasminfatima5948 5 лет назад +1

    why X value can't be zero?

  • @jazlynbell8202
    @jazlynbell8202 6 лет назад

    whats the range?

  • @flamezforthegamez1056
    @flamezforthegamez1056 3 года назад +1

    Watching this video before my freshman math college exam tomorrow and I came unprepared unknowing that courses end much earlier in college than in high school and with a low grade cause I forgot to do a majority of assignments. Wish me the best of luck for me to not fail this exam as I did with the too-late-to-turn-in homework I had this semester!

  • @calderhutchins
    @calderhutchins 10 лет назад +1

    Very helpful, when you said something like, y = the power to get to x it all just clicked. Thankx a lot mate.

  • @AsianPervasion
    @AsianPervasion 11 лет назад +1

    I thought he said "5 to the White Power" ....
    great videos though, thank you! :)

  • @graphene1487
    @graphene1487 6 лет назад

    everyone seems to enjoy 8:58

  • @SchultzWolfe
    @SchultzWolfe 11 лет назад +1

    Thank you, you saved me from my monotone and boring teacher's lectures.

  • @ipwnnoobsable
    @ipwnnoobsable 13 лет назад +1

    first

  • @sethninopaparon5248
    @sethninopaparon5248 7 лет назад

    is this just the same as how you graph an exponential function?

    • @ClumpypooCP
      @ClumpypooCP 7 лет назад

      Seth Nino Paparon logarithms are the inverse of exponentials. If you want, you can graph y = 2^x then just switch the x and y coordinates to graph y=log_2 x

  • @phoenixullrick1684
    @phoenixullrick1684 4 года назад +1

    neat

  • @karabonkani
    @karabonkani 6 месяцев назад

    I really understood when you said we pick nice exes that give us nice clean answers for why

  • @moomooomoo96
    @moomooomoo96 11 лет назад

    Pre cal? I'm learning this in Algebra 2 :/

  • @porisarvepalli7153
    @porisarvepalli7153 3 года назад

    Why are we studying pre- calcuse material when we are in algebra 2 class??

  • @yungtrent93
    @yungtrent93 11 лет назад

    im stuck with this problem and its biting me side ways. It's y=f(x)= log base2 (2-x)-2???? What am I even suppose to do with this. ive been looking for videos on how to graph not only with transformations but with different bases and no one is showing that. its all just base 10 hella annoying. can u help me?

  • @bradleymccallister2898
    @bradleymccallister2898 11 лет назад +1

    straight up... i love you, no homo

  • @RebecaWD7
    @RebecaWD7 12 лет назад

    You have a pretty similar voice to "Old Ted Mosby" of How I Met Your Mother but instead of telling us that story you are teaching us math :) Thnx for the video :P

  • @hwnd.5801
    @hwnd.5801 Год назад

    great video but 4:50 is crazy lool

  • @danradz4me
    @danradz4me 11 лет назад +1

    YAYY! Quite simple when someone knows how to teach

  • @srikanthk1944
    @srikanthk1944 6 лет назад

    Use background and black for writing. That helps well and save time. And looks good. These different colours are causing some unidentified problem while listening. Thx

  • @Neerajgod
    @Neerajgod 11 лет назад

    1. First graph log base2 (x) on a set of axis and then carry out the below transformations.
    2. The (2-x) portion - means that it is the graph of log base2 reflected in the y axis.
    3. Now, once you do that, the (-2) at the end of the function means that the entire graph is moved down 2 units.
    Great maths textbook-
    just google, IBID Press Math HL pdf. It is an IB textbook but it is fantastic, download from the first 2 links (which will be from 4shared.com)

  • @123I-n6y
    @123I-n6y 5 лет назад

    Why my teacher went through this faster than the flash and gave us 100 problems to do 🤕. Ty bro bro

  • @sambhavmishra1873
    @sambhavmishra1873 6 лет назад

    well this is very useful video..but what if only graph is given and we are asked to write the equation of the graph? How to analyze it? Do we need to memorize the equations of the corresponding graphs?

  • @socaljusticewarrior558
    @socaljusticewarrior558 6 лет назад

    I have log5(x+1). I reckon that when 4 is my x value, I get a 1 for my why value, which would be log5(x) translated to the left by one.

  • @jetpaq
    @jetpaq 11 лет назад

    Slowly my consciousness is expanding because of this wonderful human being. I am so very, VERY grateful. thank you thank you thank you!

  • @nozzerjuice
    @nozzerjuice 7 лет назад

    when you have 5 to the y power, 5 to the y power, 5 to the y power, 5 to the y power...

  • @nathanaelshin9820
    @nathanaelshin9820 7 лет назад +1

    if it gets infinitely closer to the y axis shouldn't there be an asymptote

    • @Herzyyyy
      @Herzyyyy 7 лет назад +1

      Nathanael Shin there is one on the y axis, he just didn't mention it.

  • @careinn10
    @careinn10 12 лет назад

    I haven't learned anything with graphing logs yet, so I looked at the title with so much trepidation, but then.. wow! I get it so easily from watching this! thank you SO much!!!!

  • @BrandonTurnerMusic
    @BrandonTurnerMusic 11 лет назад

    I have learned more from this than I have from he time we learned this in class. Thanks

  • @ivancampos6754
    @ivancampos6754 5 лет назад

    What the hell? This actually made sense. Thanks Mr Academy.

  • @SparksThePhysicist
    @SparksThePhysicist 3 года назад

    nice video mr khan!

  • @madi-vm5om
    @madi-vm5om 4 года назад

    i have a log quiz tomorrow in alg. 2 trig, thank you for this.

  • @rayofdarkness2980
    @rayofdarkness2980 6 лет назад

    Khan you have saved my butt so many times I don't know how to thank you

  • @PoolBoyCrypto
    @PoolBoyCrypto 11 лет назад

    thank you so much you were very helpful! i wish all teachers explained as good as you did

  • @doga5578
    @doga5578 Год назад

    perfectttttttt

  • @gabrieleidler3479
    @gabrieleidler3479 10 лет назад

    How can i build a graphic of y = Log I -x² -4x +1I base 1/2 ?, im having a really hard time here :/ .

  • @grantwalter2243
    @grantwalter2243 5 лет назад

    what do I do if there is a 2 in front of the log?

  • @JingerBreadd
    @JingerBreadd 11 лет назад

    very informational thank you
    -Toby okunna

  • @gertaxhika7238
    @gertaxhika7238 5 лет назад

    I lovee u , thank u. so much

  • @ax20star
    @ax20star 10 лет назад

    This makes it so much simpler.

  • @cruiseyshoes
    @cruiseyshoes 11 лет назад

    8:58 he says "Twat" .. haha

  • @Neerajgod
    @Neerajgod 11 лет назад

    Hope the advice helped

  • @kaitlyngeckler1945
    @kaitlyngeckler1945 10 лет назад

    thank you sooooo much! you're amazing!

  • @skyebible
    @skyebible 11 лет назад

    thank you so much!!

  • @candylover3200
    @candylover3200 13 лет назад

    OMG, thanks you! XD

  • @ramisha2925
    @ramisha2925 10 лет назад

    Thx a bunch man

  • @worldwidehandsomekimseokji4064
    @worldwidehandsomekimseokji4064 5 лет назад +2

    bless my exam tmr:

  • @TheDevilCrowley
    @TheDevilCrowley 10 лет назад

    I get it now

  • @ІванПилипко-у9с
    @ІванПилипко-у9с 6 лет назад

    Thanks:)

  • @daniellecharlene131
    @daniellecharlene131 6 лет назад

    I still don’t get it

  • @kayanna9843
    @kayanna9843 7 лет назад

    still don't get this bs

  • @kaitlyngeckler1945
    @kaitlyngeckler1945 10 лет назад

    truly a genius!

  • @Frank2Raww
    @Frank2Raww 10 лет назад

    helps so much!!

  • @louischannel123
    @louischannel123 8 лет назад +3

    TO THE POWER OF Y!!! For christ's sake, it sounds awful when you're saying 'yth power'

    • @myagood3942
      @myagood3942 8 лет назад +1

      hahaha... you so crazy... this is math church... Prraaaise be to trigonometry. yaaaassss!!

  • @VentiColdbrew_
    @VentiColdbrew_ 8 лет назад

    What if there is a coefficient?

    • @mrcrazyfish16
      @mrcrazyfish16 8 лет назад +1

      infront of the entire logarithm? or infront of the argument?
      if its infront of the argument, that means theres a horizontal stretch/compression
      if its infront of the entire logarithm, that means theres a vertical stretch/compression

  • @rcrockcrawler1
    @rcrockcrawler1 12 лет назад

    @holumyde1 Looks like you need to be studying grammar not math.

  • @berkshire8312
    @berkshire8312 2 года назад

    Didn’t ask

  • @michaeloriente2778
    @michaeloriente2778 4 года назад

    Oldies are