Question

log_2(log_4x)+log_4(log_2x=2

Answer 1

$log_{2}( log_{4}(x) ) + log_{4}( log_{2}(x) ) = 2 \\ log_{2}( log_{4}(x) ) + log_{2}( {( log_{2}(x)) }^{2} ) = 2 \\ log_{2}( log_{2}( {x}^{2} ) \times log_{2}(x) \times log_{2}(x) ) \\ log_{2}(x) = \sqrt[3]{2} \\ x = {2}^{ \sqrt[3]{2} }$