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Math Help - [SOLVED] Log transforms

  1. #1
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    [SOLVED] Log transforms

    consider the relationship
    y=Ax^-n
    and assume that A,n>0. Define Y=log(y) and X=log(x). Find the relationship between Y and X. Explain how you would determine the values of the constants A and n from a plot of Y versus X.

    I got as far as Y=logA-nlogx
    I don't get how you can graph it
    Can anyone help with this question? I would really appreciate it!
    Last edited by alcmlssus; September 14th 2009 at 09:57 PM.
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  2. #2
    Member pflo's Avatar
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    Quote Originally Posted by alcmlssus View Post
    I got as far as Y = \log(a) - n \log(x)
    Your work so far is perfect. Remeber that X = \log(x) and substitute that in as well. Rearrange some and that gives you:
    Y = -nX + \log(A)

    How is this similar to y = mx + b ? What would -n be in the plot of X versus Y? What would \log(A) be in the plot? Once you figure out what these are from the plot, simply solve for n and A.
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