Solve for y if y = log_2 (log_4 256).

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Manual Calculations
$y = \log_2 (\log_4 256)$

$2^y = \log_4 256$

$4^{2^y} = 256$

$4^{2^y} = 4^4$
 

Hence,
$2^y = 4$

$y = \log_2 4$

$y = \log_2 2^2$

$y = 2 \cdot \log_2 2$

$y = 2 \cdot 1$

$y = 2$   ←   answer