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Math Help - evaluating logs

  1. #1
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    evaluating logs

    i can't seem to get the right answer for this one..

    log(base 2) 8root2
    (sorry i don't know how to show this on the computer)

    the answer in the back of the book is 7/2 but i am getting 3/2
    what am i missing?

    2^x = 8root2
    2^x = 8^1/2
    2^x = (2^3)^1/2
    2^x = 2^3/2
    x=3/2
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  2. #2
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    Quote Originally Posted by tmas View Post
    i can't seem to get the right answer for this one..

    log(base 2) 8root2
    (sorry i don't know how to show this on the computer)

    the answer in the back of the book is 7/2 but i am getting 3/2
    what am i missing?

    2^x = 8root2
    2^x = 8^1/2
    2^x = (2^3)^1/2
    2^x = 2^3/2
    x=3/2
    \log_2(8\sqrt{2}) = \log_2(8) + \log_2(\sqrt{2}) = 3 + \frac{1}{2}
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