2004 AMC 12B Question 17 - thichhoctoan.com

Question 17

For some real numbers $a$ and $b,$ the equation $$
8x^3 + 4ax^2 + 2bx + a = 0
$$ has three distinct positive roots. If the sum of the base-$2$ logarithms of the roots is $5,$ what is the value of $a?$

$-256$
$-64$
$-8$
$64$
$256$