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

Logarithmic corrected $f(R)$ gravitational model and swampland conjectures