  In this work, we consider three different $f(Q)$ models, such as power-law,
exponential, and logarithmic, to study which model better mimics $\Lambda$CDM
evolution theoretically. Henceforth, we determine solutions to the $f(Q)$
gravity field equations in the isotropic and homogeneous universe. Since all
the models contain two model parameters, we reduce the degrees of freedom using
the first Friedman equation at the present time. Further, we check the behavior
of cosmological parameters using the obtained solution to the field equations
and compare it with the $\Lambda$CDM model. As a result, the power-law model
shows a good match with $\Lambda$CDM model for $\lambda=-1$ and $\lambda=-2$,
while the exponential model behaves well for the range $5\le \beta<11$, and the
logarithmic model matches for $3.8<\gamma<4.4$.
