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DENIUS [597]
3 years ago
14

The number of subscribers to a streaming video service doubles each week.

Mathematics
2 answers:
Ilya [14]3 years ago
5 0

Answer:

Step-by-step explanation:

This is an exponential equation that is solved by taking the natural log of both sides.  The equation is

f(x)=2^x

If we are looking for x when f(x) = 64, then

64=2^x

Take the natural log of both sides:

ln(64)=ln(2^x)

The rules of logs allows us to bring the x down in front:

ln(64)=xln(2)

Divide both sides by ln(2) to get:

\frac{ln(64)}{ln(2)}=x

Do this on your calculator to get that x = 6.

You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.

Alexxx [7]3 years ago
5 0

Answer:

A. \displaystyle Week\:6

Step-by-step explanation:

\displaystyle 64 = 2^x \\ \\ log_264 = x; 6 = x

I am joyous to assist you anytime.

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