Call

$N=BxxG^t$, where N=new value, B=start value, G=growth (or decay) factor, and t=number of periods (years in this case.

We know that $G^58=1//2$, so
$G=root 58 (1/2)=(1/2)^(1/58)$

After 30 years, activity will be:

$N=500xx(root 58 (1/2))^30=500xx(1/2)^(30/58)=500xx0.699=349g$

On your calculator you can set this up like:

0.5 ^ (30 : 58) x 500 = 349

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