Log-uniform distribution (source code)

= Log-uniform distribution
{title2=$p(x)=1/[x\log(B/A)]\quad(A<x<B)$}

= Logarithmically uniform distribution
{synonym}

For $0<A<B<\infty$, this density makes $\log X$ uniform between $\log A$ and $\log B$. It is a proper finite-interval version of the <scale-invariant prior>. The chosen logarithm base changes only the endpoint coordinates.