  The exact five-dimensional charged black hole solution in Lovelock gravity
coupled to Born-Infeld electrodynamics is presented. This solution interpolates
between the Hoffmann black hole for the Einstein-Born-Infeld theory and other
solutions in the Lovelock theory previously studied in the literature. The
conical singularity of the metric around the origin can be removed by a proper
choice of the black hole parameters. The thermodynamic properties of the
solution are also analyzed and, in particular, it is shown that the behaviour
of the specific heat indicates the existence of a stability transition point in
the vacuum solutions. We discuss the similarities existing between this
five-dimensional geometry and the three-dimensional black hole. Like BTZ black
hole, the Lovelock black hole has an infinite lifetime.
