The property that must be used in all the proofs is: logb(b^y) =y
<h3>What are the proofs or rules of logarithms?</h3>
The proofs are statements that are used to validate or invalidate a logarithmic expression
There are several proofs of logarithms; some of them are:
- Product rule
- Quotient rule
- Power rule
- Change of base
The common property in the first three proofs (listed above) is:

This is so because, it links all the three proofs
Read more about equations at:
brainly.com/question/14323743
 
        
             
        
        
        
1) Spend final weeks in a prison closest to their home.
2) Security reasons.
3) Inmates required to complete certain activities, and are not currently offered in their prison, so would move to another facility. 
Hope I helped :)