2006-10-21 06:49:26 · 11 answers · asked by fiascogrande 2 in Science & Mathematics ➔ Mathematics
I think some people have an extra hundred year going from 1 to 2.
2006-10-21 08:14:53 · update #1
2^x = 6,000,000,000
ln 2^x = ln 6,000,000,000
x ln 2 = ln 6,000,000,000
x = ln (6,000,000,000)/ln(2)
x = 32.48
It would take 32.48 centuries, i.e. 3248 years.
Of course, the premise of the question is rather questionable. Through most of human history, growth rates have been a lot slower than that. The population explosion of the last century was fueled in large part by the doubling of life expectancy, not by an increased birth rate. A doubled life expectancy will result in a doubled population even if the people are only reproducing at the replacement rate. In the industrialized world, people aren't even reproducing fast enough to replace themselves anymore; population growth in those countries is now largely caused by immigration.
However, if you take this strictly as a math problem and ignore the questionable assumptions, the answer is 3248 years :-)
2006-10-21 06:55:44 · answer #1 · answered by Bramblyspam 7 · 1⤊ 0⤋
Hi. Start with 16 humans to prevent inbreeding and subtract 300 years from the answer. Just over 500 years from two, 200 years from 16.
2006-10-21 13:53:09 · answer #2 · answered by Cirric 7 · 0⤊ 1⤋
Well, let's see -
2
4
8
16
32
64
128
256
512
1024 (round)
2000
4000
8000
1600
3200
6400
128000
256000
512000
1000000 (round)
2000000
4000000
8000000
16000000
32000000
64000000
128000000
256000000
512000000
1000000000 (round)
2000000000
4000000000
8000000000 (8 billion!)
Okay, that's 32 doublings so 32 * 100 years per doubling is 3200 years.
2006-10-21 14:01:58 · answer #3 · answered by Geoffrey S 3 · 0⤊ 0⤋
accorring to your statistics it would take 3000 years, you can check this by taking 2 to the 30 (30 because it is every hundred years, so you have to divide 3000 by 100)
2006-10-21 13:53:41 · answer #4 · answered by superp975 2 · 0⤊ 0⤋
100 years
2006-10-21 13:50:48 · answer #5 · answered by Al Bundy 4 · 0⤊ 1⤋
Just a tic (14 days) over 2816 years.
2006-10-21 14:27:53 · answer #6 · answered by Anonymous · 0⤊ 0⤋
assume that the number of centuries is x
then, 6000000000=2^x
taking the logarithm:
log 6000000000=x * log 2
log 6+log 1000000000=x* log 2
then,
x=(log 6+9)/log 2
=32.48 centuries
=3.248 days of allah's days
;)
2006-10-21 14:03:20 · answer #7 · answered by mozakkera 2 · 0⤊ 0⤋
Around 3,200 years
2006-10-21 14:19:49 · answer #8 · answered by Dr. J. 6 · 0⤊ 0⤋
About 3300 years
2006-10-21 13:53:01 · answer #9 · answered by martin h 6 · 1⤊ 0⤋
A little over 2,800 years.
2006-10-21 13:52:19 · answer #10 · answered by Anonymous · 0⤊ 1⤋