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31 March, 14:49

The number of caps a new online store sells increases by a factor of 4 each month. The function f (x) = 4x represents the number of caps sold in month x. When does the store sell 64 caps?

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  1. 31 March, 15:05
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    Given

    ... f (x) = 4^x

    Find

    ... x for f (x) = 64

    Solution

    Rewrite 64 as a power of 4, then equate exponents.

    ... 64 = 4^x

    ... 4^3 = 4^x

    ... 3 = x

    The store sells 64 caps in month 3.
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