1. ## [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!

2. Originally Posted by alcmlssus
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.