For this case we have the following variables:
x: number of months
f (x): number of caps sold
The function that models the problem is given by:
[tex] f (x) = 4 ^ x
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By the time the store sells 64 caps we have:
[tex] 4 ^ x = 64
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From here, we clear the number of months:
[tex] log4 (4 ^ x) = log4 (64)
x = log4 (64)
x = 3
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Answer:
the store sells 64 caps in 3 monts
A. month 3