Answer
43.6 years
Work Step by Step
initial population of 7.6 million
rate of growth is 1.6% per year
want to double population
$15200000=7600000*(1.016)^x$ $15200000/7600000=7600000*(1.016)^x/7600000$
$2= 1.016^x$
$log 2 =x log 1.016$
$log 2/log 1.016 = x log 1.016/log 1.016$
$.30103/.00689 =x$
$43.69 =x$
