Simplify log4(16)-2log4(2)

log4(16) can be simplified to 2, because 4 to the power of 2 is 16. Similarly, log4(2) can be simplified to 0.5, because 4 to the power of 0.5 is 2. Thus:

log4(16) - 2log4(2)

= 2 - 2(0.5)

= 2 - 1

= 1