Given a log smooth log scheme $X$ over $\operatorname{Spec} \mathbb{C}$,
in this article we analyze and compare different filtrations
defined on the log de Rham complex $\omega^{\bullet}_X$
associated to $X$. We mainly refer to the articles of Ogus
([23]), Danilov ([1]), Ishida ([16]). In this context, we
analyze two filtrations on $\omega^{\bullet}_X$: the
decreasing Ogus filtration $\tilde{L}^{\bullet}$, which
is a sort of extension of the Deligne weight filtration $W_{\bullet}$
to log smooth log schemes over $\Spec \mathbb{C}$, and an
increasing filtration, which we call the Ishida filtration
and denote by $I_{\bullet}$, defined by using the Ishida
complex $\tilde{\Omega}^{\bullet}_X$ of $X$. Moreover,
we have the Danilov de Rham complex $\Omega^{\bullet}_X(\log
D)$ with logarithmic poles along $D= X - X_{\mathrm{triv}}$
($X_{\mathrm{triv}}$ being the trivial locus for the log structure
on $X$), endowed with an increasing weight filtration (the
Danilov weight filtration $\mathcal{W}_{\bullet}$). Then
we prove that the Danilov de Rham complex $\Omega^{\bullet}_X(\log
D)$ coincides with the log de Rham complex $\omega^{\bullet}_X$
and the Ishida filtration $I_{\bullet}$ (which is a globalization
of the Danilov weight filtration $\mathcal W_{\bullet}$)
coincides with the opposite Ogus filtration $\tilde{L}^{-\bullet}$.