LOGARITHMS 14

Evaluate Log₂(256 x 128).

Solution

= Log₂(256 x 128)

= Log₂256 +  Log₂128          (applying the product rule)

= Log₂2⁸ +  Log₂2⁷             ( 256= 2⁸ and 128=2⁷ )

= 8Log₂2 +  7Log₂2       ( remember  Log_aa^c = cLog_aa )

= (8 x 1) +  (7 x 1)          ( remember  Log_aa = 1 )

= 8 + 7

= 15

  

hence Log₂(256 x 128) = 15

TRY THIS...............

Evaluate Log₂(4096 x 128).