Answer
8.5 years
Work Step by Step
$A = P(1+(r/n))^{n*t}$
$A=10000$
$P=6000$
$r=.06$
$n=12$
$A = P(1+(r/n))^{n*t}$
$10000 = 6000(1+(.06/12))^{12*t}$
$10000/6000 = 6000/6000*(1.005)^{12*t}$
$1.66667 =1.005^{12*t}$
$log 1.6667 = 12*t*log 1.005$
$.22185 =12*t*.002166$
$.22185 =t*.02599$
$.22185/.02599 = .02599*t/.02599$
$8.5 =t$
