Answer
12 years
Work Step by Step
$A = 3000$
$P= 2000$
$r= .07$
$n= 2$
$3000=2000*(1+(.07)/2)^x$
$3000/2000=2000*(1+(.07)/2)^x/2000$
$1.5 = (1+(.07/2))^x$
$1.5 = 1.035^x$
$log 1.5 = x log 1.035$
$log 1.5/log 1.035 = x log 1.035/log 1.035$
$.17609/.01494 =x$
$11.786 =x$