Arrange the Functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n } \text { and } \log ( n ! )$

question 19

Short Answer

Arrange the functions $n ^ { 3 / 2 } , \log \left( n ^ { n } \right) , \left( n ^ { 100 } \right) ^ { n } \text { and } \log ( n ! )$ in a list so that each function is big-O of the next function.