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If the growth rate is 4 % per year, as may be intended to be implied, then the population after x years will be (1 + 0.04), 0.04 being the decimal equivalent of 4 %, raised to the xth power, or 1.04x = 2. This kind of equation can be solved with the aid of logarithms, since the logarithm of 1.04x = x(log 1.04), or x = (log 2)/(log 1.04) = about 18 years.

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