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Math Help - logarithms

  1. #1
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    logarithms

    fill in the table

    x log base A of X
    2
    3 n
    4
    5
    6
    7 1
    8 m
    9
    10 p
    98

    i know that a = 7

    i think x =2 is m/3 ...im not sure tho
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by stones44 View Post
    fill in the table

    x log base A of X
    2
    3 n
    4
    5
    6
    7 1
    8 m
    9
    10 p
    98

    i know that a = 7

    i think x =2 is m/3 ...im not sure tho
    Well, for x = 8 we can get
    log_7(8) = log_7(2^3) = 3 \cdot log_7(2) = m

    So
    log_7(2) = \frac{m}{3}

    You were right.

    We can pull the same thing with x = 4 and x = 9.

    Once you have that you can do log_7(6) = log_7(2 \cdot 3) = log_7(2) + log_7(3)

    And then do something similar for x = 5, because we know that 10 = 2 \cdot 5.

    For x = 98, break 98 down into its prime factors. Then you'll see what to do.

    -Dan
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