Question 171462
Ethanol production (in billions) of gallons) is produced by f(x) = 1.47(1.225^x) where 0 corresponds to 2000. If this trend continues, estimate the year in which ethanol production reaches 12 billion gallons.
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12x10^9 = 1.47(1.225^x)
1.225^x = [12x10^9]/1.47
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Take the log of both sides:
x[log1.225] = [log(12x10^9] - [log1.47]

x = [10.07918-0.167317335]/[0.088136089] = 112.46 yrs
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2000+112.46 is the year 2113
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Cheers,
Stan H.