>>10140495Let's say that f(x) is the measure of [1,x].
Then
n * f(x) = f(x^n)
We know that f(2) = 1 so let's try x = 2 and n = log(3/2) / log(2) then we get
log(3/2) / log(2) = f(3/2)
So the measure of [2, 3] is log(3/2) / log(2) which is about 0.585.
Can this be correct? I have no idea of measure theory other than what I read on wikipedia today.