LOGARITHMS B9

Evaluate Log₂(4 x 16).

Solution

= Log₂(4 x 16)

= Log₂4 +  Log₂16          (applying the product rule)

= Log₂2² +  Log₂2⁴             ( 4= 2² and 16=2⁴ )

= 2Log₂2 +  4Log₂2       ( remember  Log_aa^c = cLog_aa )

= (2 x 1) +  (4 x 1)          ( remember  Log_aa = 1 )

= 2 + 4

= 6

hence Log₂(4 x 16) = 6