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Math Help - simplify

  1. #1
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    simplify

    Simplify:

    3 log8 8^-2 + 1/4 log8 8^5

    How would you go about doing that. I have tried doing it myself but I get the wrong answer.
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  2. #2
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    Quote Originally Posted by JQ2009 View Post
    Simplify:

    3 log8 8^-2 + 1/4 log8 8^5

    How would you go about doing that. I have tried doing it myself but I get the wrong answer.
    3log_8(8^{-2}) + \frac{1}{4}log_8(8^5)

    Use the following laws of logs ( b \neq 0,1 and a \neq 0)

    log_b(a^k) = k\,log_b(a)

    log_b(b) = 1

    Spoiler:
    (-2)(3)log_8(8) + \frac{1}{4}(5)log_8(8)

    -6+\frac{5}{4} = -\frac{19}{4}
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