International Journal of Neutrosophic Science IJNS 2690-6805 2692-6148 10.54216/IJNS https://www.americaspg.com/journals/show/1362 2020 2020 Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India M. Jeyaraman Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India P. Jenifer Department of Mathematics, Alagappa University, Karaikudi, Tamilnadu, India U. Praveena We introduce logarithmic summability in Neutrosophic Normed Spaces [NNS] and give some Taubarian conditions for which logarithmic summability yields convergence in NNS. Besides we define the concept of slow oscillation with respect to logarithmic summability in NNS, Investigate its relation with the concept of q-boundedness and give Taubarian theorems by means of q-boundedness and slow oscillation with respect to logarithmic summability.  A comparison theorem between CesaroSummability method and logarithmic summability method in NNS is also proved in the paper. 2022 2022 29 39 10.54216/IJNS.190303 https://www.americaspg.com/articleinfo/21/show/1362