If Log4 (x) 12 then log2 (x4) is equal to?

Given that (\log_4(x) = 12), we can express (x) in terms of base 4: (x = 4^{12}). To find (\log_2(x^4)), we first calculate (x^4 = (4^{12})^4 = 4^{48}). Since (4 = 2^2), we have (4^{48} = (2^2)^{48} = 2^{96}). Therefore, (\log_2(x^4) = \log_2(2^{96}) = 96).