If Log 4 (x) 12 then log 2 (x 4) is equal to?

Given ( \log_4(x) = 12 ), we can rewrite this in exponential form: ( x = 4^{12} ). Since ( 4 = 2^2 ), we have ( x = (2^2)^{12} = 2^{24} ). Now, to find ( \log_2(x^4) ), we calculate ( x^4 = (2^{24})^4 = 2^{96} ), so ( \log_2(x^4) = 96 ). Thus, ( \log_2(x^4) ) is equal to 96.