An algebra problem by Akshat Sharda

Algebra Level 5

\[\log_{2}(\alpha^{12}+\beta^{12}+\gamma^{12}+\delta^{12}) \]

Given that \(\alpha,\beta,\gamma\) and \(\delta\) are the roots of the equation \(x^4+4x+4=0\). Find the value of the expression above.