"log related questions below"

Question

1.       1000^(log2 +log3)

 

 

2.          log 3 (27/ 3 (square root of 9)) 

 

             3/------

                  9                   My best description of the three outside of the square root. 

 

 

Answer 1

1.  1000^(log2 +log3) =|assuming this is log of base 10|=

  =10^3log210^3log3=10^log810^log27=8*27

 or just

10^3log6=10^{log6^3}=6³.