What does this equal?

|2(sqrt{2[log4(16)]} - {[log3(27)]3})| + 2  ...so we have....

abs [ 2(√(2*log₄16) - log₃27*3)]    + 2  =

abs [ 2(√(2*2) - 3*3)] + 2  =

abs [ 2(√(4) - 9)] + 2  =

abs [ 2(2 - 9)] + 2  =

abs [2(-7) ] + 2 =

abs[ -14 ] + 2  =

16

its 5.584121