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After 1 day, you would have 2 pounds.

After 2 days, you would have 4 pounds.

After 3 days, you would have 8 pounds.

After 4 days, you would have 16 pounds.

After 5 days, you would have 32 pounds.

After 6 days, you would have 64 pounds.

After 7 days, you would have 128 pounds.

After 8 days, you would have 256 pounds.

After 9 days, you would have 512 pounds.

After 10 days, you would have 1.024 pounds.

After 11 days, you would have 2.048 pounds.

After 12 days, you would have 4.096 pounds.

After 13 days, you would have 8.192 pounds.

After 14 days, you would have 16.384 pounds.

After 15 days, you would have 32.768 pounds.

After 16 days, you would have 65.536 pounds.

After 17 days, you would have 131.072 pounds.

After 18 days, you would have 262.144 pounds.

After 19 days, you would have 524.288 pounds.

After 20 days, you would have 1.048.576 pounds.

So you would have 1 million pounds after 20 days.

If you would get the money exponentially (not double it on a certain point on the day, but just continuing to grow all day), then it would take you log(2,1.000.000)=19,931568... days.

So the answer is 19,931 or 20 days.

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