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An internet story that goes viral has a number of readers that is increasing exponentially, with number of readers in millions represented by 2x, where x is the time, in days. Find the time when the number of readers reaches 9 million.

What is the exact solution written as a logarithm?

What is an approximate solution rounded to the nearest thousandth?

1 Answer

4 votes

Answer:

a)
x = \log_(2) 9,000,000, b)
x \approx 23.101\,days

Explanation:

The number of readers as a function of time is:


n = 2^(x)

Where:


x - Time, measured in days.


n - Number of readers, dimensionless.

a) The time when the number of readers reaches 9 million is:


x = \log_(2) n


x = \log_(2) 9,000,000

b) The approximate solution rounded to the nearest thousandth is:


x \approx 23.101\,days

User MERLIN THOMAS
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