SOLUTION: How long (in years) will it take the world population to double at an exponential growth rate of 1.64% per year? Round your answer 2 decimal places. Assume that the population of t

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Question 1112539: How long (in years) will it take the world population to double at an exponential growth rate of 1.64% per year? Round your answer 2 decimal places. Assume that the population of the world is 7 billion people.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
y=7%281.0164%29%5Ex

When y would double
2=1%2A%281.0164%29%5Ex
1.0164%5Ex=2
log%28%281.0164%5Ex%29%29=log%28%282%29%29
x=log%28%282%29%29%2Flog%28%281.0164%29%29
x=0.30103%2F0.0070646
42.61
bettertosay,43 years