# 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.

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