Answer
$8.05$ days
Work Step by Step
We want $C(t)=0.5A$. Solve for t:
$0.5A=A(0.9175)^{t}$
$0.5=0.9175^{t}$
$\log 0.5=t\log 0.9175$
$t=\displaystyle \frac{\log 0.5}{\log 0.9175}\approx 8.05$ days
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