well, not knowing exactly what the problem is, its hard to tell. Could be a bad video driver on the logic board, could be a bad inverter or backlight. Could be a lot of things.
If you can make out the screen, but the display doesn't "light up" so to speak, it's definately somewhere in the backlight. It could be:
- the switch that compresses when you close the laptop lid
- the inverter board that converts low voltage DC to high voltage AC to power the CCFL light
- the CCFL backlight bulb itself
- a control circuit somewhere else, but unlikely here
Depending on the age of the laptop, it might be worthwhile to take it to a repair place, or to open it up and check it out for yourself. if you can verify that it's either the switch or the inverter, you <might> be able to repair it yourself. If it's the CCFL backlight, I doubt it's user serviceable.