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The number of blogs (or weblogs) grew rapidly for several years. According to one report, there w...

The number of blogs (or weblogs) grew rapidly for several years. According to one report, there were about 2 million blogs in March 2004, after which the number of blogs doubled approximately every six months. Note: Growth tapered off after 2007, and at the end of 2011 there were about 175 million blogs.

Let N denote the number (in millions) of blogs and d the number of doubling periods after March 2004. Use a formula to express N as an exponential function of d.

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Answer #1

Given that there were about 2 million blogs in March 2004, after which the number of blogs doubled approximately every six months. Let us represent d to be the doubling periods which is 6 months after March 2004.

The number (in millions) of blogs N as function of d is

N=2\left ( 2^d \right );d>0\\ {\color{Blue} N=2^{d+1} \textup{ million};d>0}

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