SOLUTION: the population of India is 1.17 billion people and is expected to double in 44 years. the population of CHina is 1.34 billion people and is expected to double in 67 years. if the t

Question 587461: the population of India is 1.17 billion people and is expected to double in 44 years. the population of CHina is 1.34 billion people and is expected to double in 67 years. if the trends continue, when will the population of inda be the same as China's? round your answer to the nearest tenth of the year.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
the population of India is 1.17 billion people and is expected to double in 44 years. the population of CHina is 1.34 billion people and is expected to double in 67 years. if the trends continue, when will the population of inda be the same as China's? round your answer to the nearest tenth of the year.
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India Population in x-years: 1.17 billion*(2^(x/44))
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China Population in x-years: 1.34 billion*(2^(x/67)
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Solve for "x":
1.17*2^(x/44) = 1.34*2^(x/67)
----
2^(x/44)/2^(x/67) = 1.34/1.17
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2^[x/44 - x/67] = 1.1453
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2^[(67x-44x)/(44*67)] = 1.1453
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Take the log to get:
[23x/(44*67)]log(2) = log1.1453
(23x/2948) = log(1.1453)/log(2)
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23x = 2948*0.1957
x = 25.09 years
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Cheers,
Stan H.
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