  The extended holographic dark energy model with the Hubble horizon as the
infrared cutoff avoids the problem of the circular reasoning of the holographic
dark energy model. Unfortunately, it is hit with the no-go theorem. In this
paper, we consider the extended holographic dark energy model with a potential,
$V(\phi)$, for the Brans-Dicke scalar field. With the addition of a potential
for the Brans-Dicke scalar field, the extended holographic dark energy model
using the Hubble horizon as the infrared cutoff is a viable dark energy model,
and the model has the dark energy dominated attractor solution.
