The magnitudes (visual brightnesses), m₁ and m₂ , of two stars are related to their (actual) brightnesses, b₁ and b₂, by the equation m₁ − m₂ = 2.5 log(b₂/b₁). As a result of this definition, magnitudes may be negative, and magnitudes decrease as brightnesses increase. The magnitude of the brightest star, Sirius, is −1.4, and the magnitudes of the faintest stars observable with the naked eye are about 6.0. How much brighter is Sirius than these faintest stars?