Solving an exponential equation by taking the log of both sides

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  • เผยแพร่เมื่อ 27 ม.ค. 2025

ความคิดเห็น • 22

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +10

    log base 3 of three is equal to one, so as long as you take the log base three one both sides you produce equivalent equations. In other words I took the log of base three to both sides. Its okay because I did it to both sides. I choose to take the log of base 3 because it would only leave me x on the left side, therefore allowing me to solve for my variable

  • @brianmclogan
    @brianmclogan  12 ปีที่แล้ว +9

    your welcome

  • @Maluras13
    @Maluras13 12 ปีที่แล้ว +1

    Accidently stumbled across the log definition "proof" I needed! Thanks :)

  • @GreaterDeity
    @GreaterDeity 12 ปีที่แล้ว +7

    Hey don't get frustrated bro! Remember that your students haven't been studying math as long as you. They might be having the same road blocks that you used to have a long time ago. So, just be patient with them. I still don't quite understand logarithms myself! :(

  • @AshleyHillebold
    @AshleyHillebold 11 ปีที่แล้ว +1

    thank you! this helped a lot. i couldn't figure out that you had to change the base of the log when you log both sides until now

    • @brianmclogan
      @brianmclogan  11 ปีที่แล้ว +1

      perfect! happy to help you out

  • @PopaDom212
    @PopaDom212 9 ปีที่แล้ว +2

    What about X^3/4 = 2? How do I solve it?

    • @benkao8253
      @benkao8253 4 ปีที่แล้ว

      you can basically move the 3/4 exponent to the other side of the equation becoming a power of 2, only you have to take the reciprocal of the fraction: so X=2^4/3 . And x~2.52

  • @qamarz125
    @qamarz125 12 ปีที่แล้ว

    Thanks for the help!!

  • @thatomofolo452
    @thatomofolo452 ปีที่แล้ว

    Exactly 💯

  • @aqmi
    @aqmi 4 ปีที่แล้ว

    Thank u

  • @artloverrarts
    @artloverrarts 3 ปีที่แล้ว

    thank u so much

  • @cloudenvying
    @cloudenvying 5 ปีที่แล้ว

    this guy's doing a pretty good impression of Kraftwerk's The Man Machine cover.

  • @GreaterDeity
    @GreaterDeity 12 ปีที่แล้ว

    What's the process behind getting that log3 in the denominator: I am not catching that one.

    • @reillyodonnell4276
      @reillyodonnell4276 3 ปีที่แล้ว

      For anyone who like me and Shean were confused about this: this is called the "Change of Base Rule." Which is one of the "Rules" for logarithms. Google it if you want to see more examples!

  • @irwandasaputra9315
    @irwandasaputra9315 3 ปีที่แล้ว

    3^x=3^2
    x=2

  • @jacobchizek1300
    @jacobchizek1300 5 ปีที่แล้ว

    good stuff

  • @ganda3454
    @ganda3454 2 ปีที่แล้ว

    x=2

  • @turtlecat2158
    @turtlecat2158 4 ปีที่แล้ว

    wowwww thank u

  • @tierrarichardson6129
    @tierrarichardson6129 10 ปีที่แล้ว +1

    Yay😂☺☺

  • @bobwilton7553
    @bobwilton7553 4 ปีที่แล้ว

    stop giving him starey eyes!