Question 135307
Given exponential growth.  {{{N = N[0]e^(kt)}}}
 {{{8192 = 16e^(k486)}}}
{{{512 = e^486k}}}
{{{ln(512) = 486k}}}
{{{6.238 = 486k}}}
{{{0.0128 = k}}}

So use k to double.
{{{32 = 16e^(0.0128t)}}}
{{{2 = e^(0.0128t)}}}
{{{ln(2) = 0.0128t}}}
{{{0.693 = 0l28t}}}
54.15 weeks = t