  In this paper, we have presented an accelerating cosmological model of the
Universe in an extended symmetric teleparallel gravity or $f(Q,T)$ gravity. The
parametric form of the Hubble parameter is, $H\left(z\right) =H_{0}\left[
\alpha +\left( 1-\alpha \right) \left( 1+z\right) ^{n}\right] ^{\frac{3}{2n}}$,
where $H_0$ and $n$ are constants and for $n=3$, the $\Lambda$CDM scenario can
be obtained. We have considered the logarithmic form of $f(Q,T)$ as,
$f(Q,T)=-Q+\beta \log\left(\frac{Q}{Q_{0}}\right)+\gamma T$, where $\beta $ and
$\gamma $ are the free model parameters. Using the Hubble, Baryon Acoustic
Oscillations (BAO), and Type Ia Supernovae (SNe Ia) datasets, the present value
of the Hubble parameter and other free parameters are constrained. Further
other cosmographic and dynamical parameters are presented using the obtained
constrained values of the Hubble and free parameters. The model shows the
quintessence behavior of the Universe at the present time. The present value of
the EoS parameter is obtained as, $\omega_{0}=-0.56$ for the $Hubble+BAO+SNe$
datasets. The energy conditions are presented and the violation of the strong
energy condition has been shown. We have performed the dynamical system
analysis to validate the stability of the model. From the evolutionary plot
obtained through the dynamical system variables, the present value of density
parameters have been obtained as $\Omega_m\approx0.3$ and
$\Omega_{de}\approx0.7$.
