Are you diabetic? Most of us have no idea what our blood sugar is, so since you are measuring yours regularly I would assume you are under some sort of treatment for blood sugar issues. If you are taking any type of medication at all for your blood sugar, you need to see your doctor and have the medication adjusted when you start low carbing. Low carbing does lower blood sugar and combined with medication you can go too low.

If you are not diabetic and on medication, you might want to get a physical to see if there is something else going on. It's very unusual for anyone's blood sugar to drop that dramatically while low carbing and you might have some underlying physical problem.

FYI, you don't necessarily need to start out with induction. Try dropping your carbohydrates down slowly until you find a level where you are comfortable. And make sure you eat regularly.