Answer
8.94 years
Work Step by Step
$y=y_0*e^{0.005t}$
$y_0=12910000$
$y=13500000$
$y=y_0*e^{0.005t}$
$13500000=12910000*e^{0.005t}$
$13500000/12910000=12910000*e^{0.005t}/12910000$
$1350/1291=e^{0.005t}$
$1.0457=e^{0.005t}$
$ln {1.0457} = ln e^{0.005t}$
$ln {1.0457} = 0.005t$
$.044687 = 0.005t$
$.044687/.005=0.005t/.005$
$8.9374 =t$