It will take 31.9 years.
The general form of this equation is
y = a(1+r)ˣ, where y is the total population, a is the initial population, r is the growth rate as a decimal number, and x is the amount of time. For our problem, we have
120000 = 60000(1+0.022)ˣ
[The 120,000 is because we are doubling the 60,000 population]
Dividing both sides by 60,000,
120000/60000 = 60000(1+0.022)ˣ/60000
2 = 1.022ˣ
Using logarithms to solve this, we have
[tex]log_{1.022}2=x
\\
\\31.85=x
\\
\\31.9\approx x[/tex]
