Answer
$t=15.4~years$
Work Step by Step
$A=Pe^{rt}$
$r=4.5$% $=0.045$
$A=2P$
$2P=Pe^{0.045t}$
$e^{0.045t}=2$
$\ln e^{0.045t}=\ln2$
$0.045t=\ln2$
$t=\frac{\ln2}{0.045}=15.4$
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