Are the following statements correct?

a$)($log n$)^2=$ O$(($log n$)^3)?$

b$)3^(3$n$)=$ O$(3^$n$)?$

Use the definition $((0<=$ f$($n$)<=$ cg$($n$)))$ of big O to proof your answers.

$($Note: If any of them is correct, you should find c and N$0$ such that the inequality holds for any N$0>=$ n$.$

If they are wrong, you should show that there is no possible constant c$.$ You can find examples of the proof for both wrong and correct cases in the slides.$)$