I am not really sure how to even phrase this question, but here it goes:
I'm looking at a distribution that follows a power curve (I think).. it looks something like this:
f(0): 100000 f(1): 10000 f(10): 1000 f(100): 100 f(1000): 10 f(10000): 1 f(100000): .1
Is this a power curve?
Am I to take it that for all power curves, that $x \cdot f(x)$, and also $\log(x) + \log(f(x))$ is constant, or is this a special case?