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? asked in Science & MathematicsMathematics · 9 years ago

3^x = 12 Can you solve this equaiton by taking logs of both sides?

I just want to check I'm doing it right, so a working and an answer to 2 d.p will provide you with a free 10 points :)

8 Answers

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  • mizoo
    Lv 7
    9 years ago
    Favorite Answer

    log3^x = log12

    xlog3 = log12

    x = log12/log3

  • Anonymous
    9 years ago

    x log 3 = log 12

    x = log 12 / log 3

    = 2.26185951

  • Como
    Lv 7
    9 years ago

    x log 3 = log 12

    x = log 12 / log 3

    x = 2.26

  • Hunter
    9 years ago

    yes, 2.26

    Since we know the answer is x=log12 (base3), we can use that as a check with the method you mentioned.

    3^x = 12

    log(3^x) = log12

    xlog3=log12

    x=log12/log3

    x=log12 (base 3), approximately 2.26

    Same answer, so yes, you can solve that equation by taking logs of both sides.

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  • hocuspocus
    9 years ago

    XLog(3) = log 12

    X = Log 12 / log 3 = log 12-3 = log 9

  • Anonymous
    9 years ago

    yes take the log of both sides. Then divide the right by 3 and that will equal x.

  • ?
    Lv 4
    9 years ago

    log3^x = log12

    xlog3 = log12

    x = log12/log3

    x = 2.26(2dp.)

  • RobertMathmanJones
    Lv 7
    9 years ago

    YES

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