Base Dependence of Benford Random Variables

A random variable X that is base b Benford will not in general be c when c≠b. This paper builds on two of my earlier papers and an attempt to cast some light the issue dependence. Following introductory material, “Benford spectrum” a positive introduced known analytic results about spectra are summarized. Some standard machinery for analysis” combined with method “seed functions” yield tools analyze properties variable. Examples generated by applying these methods several families variables. Berger Hill’s concept “base-invariant significant digits” discussed. potential extensions sketched.