Question

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

Answer 1

To find out when there are 64 subscribers, we can set the function \( f(x) = 2^x \) equal to 64 and solve for \( x \).

\[
2^x = 64
\]

Since \( 64 \) can be expressed as a power of \( 2 \):

\[
64 = 2^6
\]

Thus, we can rewrite the equation:

\[
2^x = 2^6
\]

Since the bases are the same, we can set the exponents equal to each other:

\[
x = 6
\]

Therefore, there are 64 subscribers in week \( 6 \).