Geordi says that the Enterprise's warp engines have tens of thousands of light-years on them; however, it has been established throughout TNG,
Star Trek: Deep Space Nine (1993), and
Star Trek: Voyager (1995) that it would take the average Federation starship from the late 24th century more than 10 years at maximum warp to travel 10,000 light years. The U.S.S. Voyager was stranded 75,000 light-years from Federation space, and it was revealed that even if it were possible to maintain maximum warp for the whole time (which it is not) it would take 75 years to return to the Federation. That averages about 10,000 light-years per decade. Intrepid-class starships like Voyager are faster than Galaxy-class starships, with Voyager's maximum sustainable speed being warp factor 9.975 and the Enterprise-D's being warp factor 9.6; so, with the Enterprise-D only being in service for three years as of this episode, there is no way it has more than 10,000 light-years of travel on it. In fact it likely has less than 3,000 light-years on it.