Answer
23.6 years
Work Step by Step
27 birds, goal of 347 birds, 11.4% annual growth rate
$347=27*1.114^x$
$347/27=27*1.114^x/27$
$12.8519=1.114^x$
$ln 12.8519= x*ln 1.114$
$ ln 12.8519/ln 1.114 = x*ln 1.114/ ln 1.114$
$2.553 = x*.10796$
$2.553/.10796=x*.10796/.10796$
$23.64$
