>F(x/y) = log(x/y)
>F(x) = log(x)
>F(y) = -log(y)
>
>e.g.
>log(x/y) = log(x)+(-log(y)) = log(x)-log(y)
>
>x=100
>y=10
>
>(for each y=x*10)
>
>log(x/y)=log(10)=1
>log(10000) = 4
>
>works perfect.
If f(x) = log x, then f(y) would be log(y). It must be the same function for both cases, otherwise they would use different letters. Only the argument should be replaced, e.g., if f(x) = log x, then f(10) = log 10, f(10000) = log 10000, and f(y) = log y.
Difference in opinions hath cost many millions of lives: for instance, whether flesh be bread, or bread be flesh; whether whistling be a vice or a virtue; whether it be better to kiss a post, or throw it into the fire... (from Gulliver's Travels)