I workout 3 times per week (+1, I do sprints when I can). And I'm low carb. Strength is not affected, nor is resistance (except maybe if I were doing cardio, which anyway I do not do anymore).
If your metabolism made the switch to the fat-burning paradigm, you should have no issues at all. Otherwise you may feel tired and that's perfectly understandable... but that's just the first times.
Also, don't be afraid to workout in fasting state. Eat at noon and do weightlifting at 7pm. Like me, you'll be surprised how much crap they taught us in the gyms (you'll go into starving mode, you'll be eating your muscles, hypoglycemia, must drink gator4de and eat BCAAs...).