Flat FLRW Universe in logarithmic symmetric teleparallel gravity with observational constraints

In this paper, we investigate the homogeneous and isotropic flat FLRW Universe in logarithmic form of $f\left( Q\right) $ gravity, where $% Q is non-metricity scalar, specifically, =\alpha +\beta \log \left( $, $\alpha $\beta are free model parameters. study, consider a parametrization Hubble parameter as $H\left( z\right) =\eta \left[ (z+1)^{-\gamma }+1\right] $\gamma $\eta model/free parameters which constrained by an $R^{2}$-test from 57 points datasets redshift range $0.07<z<2.36$. Further, physical properties model. We analyze energy conditions to check compatibility found SEC violated for gravity due reality that accelerating phase. Finally, discuss some important cosmological context compare our with dark models such jerk statefinder