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?

Question

Mathematics

Uriah

26 May, 11:31

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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Answers (1)

Know the Answer?

Jade Vaughan · Answer 1

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.