  This study aims to investigate the viability of a viable logarithmic f(R)
gravity for inflation in giving wormhole solutions. We consider a static and
spherically symmetric spacetime and two different shape functions. We found
that the model provides traversable wormhole solutions shown by its violation
to energy conditions. Violation to null energy condition indicates the
existence of traversable wormhole and the existence of exotic matter. The
equation of state parameter is less than -1 which shows the presence of phantom
fluid. Furthermore, the stability of wormhole is analyzed using
Tolman-Oppenheimer-Volkoff equation and we found that the wormhole solutions
are stable. Finally, we conclude that the model is viable in giving wormhole
solutions with the same parameter constraints as inflation.
