$(20$ pts$)$ Compare the following pairs of functions and determine which one of them has the bigger

growth rate. In case some ones are equal to each other in terms of growth rate, indicate it in your

answer using the keyword "SAME". Otherwise, you need to write down the result function

completely in the blank on the right.

$3nln(n^2)$ and $27ln(n^{\frac{a}{5}}),$ your answer $(2$ pts$)$:

$3nln(n^2)$ and $7n(lo{g}_2(n){)}^3,$ your answer $(2$ pts$)$:

$27ln(n^{\frac{n}{5}})$ and $7n(lo{g}_2(n))3,$ your answer $(2$ pts$)$:

$2$ and $100!,$ your answer $(2$ pts$)$:

$n^4$ and $2^n,$ your answer $(2pts)$:

$2^n$ and $n^n,$ your answer $(2pts)$:

$n^{0\mathrm{.}3}$ and $n,$ your answer $(2pts)$:

$n^4$ and $7n(lo{g}_2(n))3,$ your answer $(2$ pts$)$:

$n^n$ and $2^{5n},$ your answer $(2pts)$:

$n$ and $27ln(n^{\frac{n}{5}}),$ your answer $(2$ pts$)$: