Answer
$4.5d$
Work Step by Step
We can find the required half-life as follows:
$(\frac{1}{2})^n=\frac{1}{16}$
$\implies n=4$
Now $T_\frac{1}{2}=\frac{T}{n}$
We plug in the known values to obtain:
$T_{\frac{1}{2}}=\frac{18d}{4}=4.5d$
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