Ick, SpaceBattles.
First of all, the suggestion in recent years is of course that 'Ranger-class' and 'Tallahassee-class' may be the wrong labels for the two ships you're describing.
Now, loathe as I am to admit it (the situation, after all, makes absolutely no sense - you don't let an enemy cruiser within range of your carrier...), this is something you should have been able to figure out using math (in gameplay terms, at least): the cruiser's maximum broadside should be:
1.8 cm x 16 (8 dual laser turrets)
plus
30.0 cm x 8 (4 dual anti-matter guns)
... which comes to 268.8 cm.
The Victory-type light carrier has 4,000 cm of shielding/armor to any side, so it should take some 15-plus hits from the cruiser's capital guns to break her down.
Of course, that ignores all sorts of things: whether or not the Tallahassee can hit with all its turrets at the same time, whether or not it's a WC3 or a WC4 version (the latter which has significantly less weaponry), whether or not it's able to hit with its Capital Ship Missile (a single-shot kill weapon if ever there was one), whether or not there's weaponry not simulated in the games (torpedo tubes, for instance)... all of this speaks to one greater concept: the outcome of this battle is whatever you want it to be. You're making some kind of CGI movie, you're telling *your* story -- come up with a way for it to happen the way you want. You're the director... Steven Spielberg doesn't round up a bunch of dinosaurs and then film whether or not actors can escape being eaten.