  We consider in this paper a large class of perturbed semilinear wave equation
with subconformal power nonlinearity. In particular, we allow log perturbations
of the main source. We derive a Lyapunov functional in similarity variables and
use it to derive the blow-up rate. Throughout this work, we use some techniques
developed for the unperturbed case studied by Merle and Zaag [12] together with
ideas introduced by Hamza and Zaag in [5] for a class of weather perturbations.
