calculus - what is $mathop {lim }limits_{n to infty } {2^{n/{{log }_2}n}}frac{{{{({{log }_2}n)}^4}}}{{{n^3}}}$?

what is the limitation of this weird expression?

$$\mathop {\lim }\limits_{n \to \infty } {2^{n/{{\log }_2}n}}\frac{{{{({{\log }_2}n)}^4}}}{{{n^3}}}$$
I've worked on it for the whole night but I can't figure it out:(

Or no limitation exists at all?

Answer

HINT: Logarithms are meaningless. And the limit od $2^n/n^3$ is...