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No matter what you do, the camera will not turn on.
When you've just taken your camera out of the package it will likely have no charge. This can be resolved by charging the battery in two ways. First, plug the battery into the charger. Another options is to plug the camera, with the battery in place, into a USB port.
Before diving too far into the inside of your camera, be sure that you press and hold the power button for at least 5 seconds. Sometimes it takes a while for the camera to fully power on.
If your camera won't turn on, especially if it has not been used recently, you may simply have a drained battery. Charge your battery by first removing it from the camera and then load it into the battery charger. Ideally, if it's a drained battery, the camera should turn on after charging the battery for a few minutes. If the camera still fails to turn on, then a replacement battery must be used. See the battery replacement guide for assistance.
The screen is blank or appears dark.
If the LCD appears black, make sure that the camera is turned on by holding the on/off button. Be sure that the power light is on. In addition, make sure the battery is fully charged and is inserted properly.
If the LCD appears black and the camera is turned on, make sure that the sliding front cover is at the down position so the lens is displayed.
If the LCD appears black while the camera is turned on and the front sliding cover is down, the LCD backlight may be off. To turn the backlight on, press the "display" button several times.
If the previous steps have all been performed and the LCD still remains black, the camera may need to be reset to factory settings.
It is possible that nothing appears because the display is bad. The display may need to be replaced. See the screen replacement guide for assistance.