Charlton syndrome II

Charlton syndrome just got more serious. Scientists are looking at people suffering from Charlton syndrome to observe the virus. The virus seems to be multiplying in a fixed manner. The pattern of how many viruses there are each day is as follows:

Day 1, there are: ($$2^{0}$$) viruses

Day 2, there are: ($$2^{1}$$ + $$2^{0}$$) + ($$2^{0}$$)viruses

Day 3, there are: ($$2^{2}$$ + $$2^{1}$$ + $$2^{0}$$) + ($$2^{1}$$ + $$2^{0}$$) + ($$2^{0}$$)viruses

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Given that a person dies when 9999 or more Charlton syndrome viruses are inside him, after how many days would someone die?

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