Lily Pads 2

A pond, measuring 20,480 square feet, initially contains 10 lily pads, each covering an area of one square foot. Each day, every lily pad doubles in size, with the area covered by each lily pad remaining separate from the others. How many days will it take for the lily pads to cover the entire pond?

Answer

This means we need to cover 2048 square feet with a single lily pad. This is equivalent to solving \( 2^x = 2048 \). Since \( 2^{11} = 2048 \), it will take 11 days to cover the entire pond.

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