  In this paper, we use corrected $f(R)$ gravitational model which is
polynomial function with a logarithmic term. In that case, we employ the
slow-roll condition and obtain the number of cosmological parameter. This help
us to verify the swampland conjectures which is guarantee the validation of low
- energy quantum field theory. The obtained results shown that the
corresponding model is consistent with the swampland conjectures. Also the
upper and lower limit of the parameter \textcolor{red}{$n$} are
\textcolor{blue}{0.15} and \textcolor{blue}{0.0033}. Finally, by using scalar
spectrum index $ n_{s} $ and tensor to scalar ratio $ r $ relations and
compared with Planck 2018 empirical data, we obtain the coefficients
$\alpha$,$\beta$ and $\gamma$. Also, the corresponding results are creaked by
several figures, literature and also plank 2018 data.
