The inverse square law of light intensity states that the intensity of light is inversely proportional to the square of the distance from the light source. Given that the light intensity is 1024 lux at 1 meter, we can calculate the distance at which the intensity would be 256 lux.
Since 256 lux is one-fourth of 1024 lux, and the inverse square law states that intensity is proportional to 1/d21
/d^21/d2, the distance must be doubled to reduce the intensity by a factor of four. Therefore, the distance at which the light intensity is 256 lux is 2 meters. [Reference: Axis Communications - Illumination Basics]