Question

Suppose the population in a town average growth rate of 18% if there are 15500 people now living in town in about how many years will the population grow to 30,000? Use the equation 30,000=(15,500)(1.18)^x and around the value of x to the nearest year

Answer 1

This is just a matter of solving for $x$ in the given equation.

$30000=15500\times1.18^x$
$\implies 1.935=1.18^x$
$\implies \log_{1.18}(1.935)=\log_{1.18}(1.18^x)$
$\implies 3.988=x\implies x\approx 4\text{ years}$