Answer
$\approx5~years$
Work Step by Step
$N=5.5·10^{0.23x}$
$78=5.5·10^{0.23x}$
$\frac{78}{5.5}=10^{0.23x}$
$\log10^{0.23x}=\log\frac{78}{5.5}$
$0.23x=\log\frac{78}{5.5}$
$x=\frac{\log\frac{78}{5.5}}{0.23}=5.008$
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