For each pair of functions below, use O( ), ( ), ( ), o( ) or ( ) to describe the relationship between the two functions. E.g., say "n² + 3n is O(n²)". Make the most accurate statement. E.g., "n² is o(n³)" is more accurate than "n² is O(n³)". Briefly justify your answers.

n³ versus 2n³ + 5n²

2ⁿ versus 3ⁿ

n² log n versus n³

n^{log n} versus ( log n ) ⁿ