The number of subscribers to a streaming video service doubles each week. The function f (x) = 2^x represents the number of subscribers in a week x. when are there 64 subscribers?

A. week 6

B. week 7

C. week 32

D. week4

Question

Mathematics

Carmelo Stephens

16 November, 19:12

The number of subscribers to a streaming video service doubles each week. The function f (x) = 2^x represents the number of subscribers in a week x. when are there 64 subscribers?

A. week 6

B. week 7

C. week 32

D. week4

+3

Answers (1)

Know the Answer?

Jamie Hardy · Answer 1

For this case we have the following function:

f (x) = 2 ^ x

For f (x) = 64 we have:

64 = 2 ^ x

Clearing the value of x we have:

log2 (2 ^ x) = log2 (64)

x = log2 (64)

x = 6

Answer:

there are 64 subscribers in:

A. week 6

The number of subscribers to a streaming video service doubles each week. The function f (x) = 2^x represents the number of subscribers in a week x. when are there 64 subscribers?A. week 6B. week 7C. week 32D. week4

The number of subscribers to a streaming video service doubles each week. The function f (x) = 2^x represents the number of subscribers in a week x. when are there 64 subscribers?

A. week 6

B. week 7

C. week 32

D. week4