LOGARITHMS 5

Evaluate Log₂(2048 x 128).

Solution

= Log₂(2048 x 128)

= Log₂2048 +  Log₂128          (applying the product rule)

= Log₂2¹¹ +  Log₂2⁷             (2048= 2¹¹ and 128=2⁷ )

= 11Log₂2 +  7Log₂2       (remember  Log_aa^c = cLog_aa)

= (11 x 1) +  (7 x 1)          (remember  Log_aa = 1)

= 11 + 7

= 18

hence Log₂(2048 x 128) = 18  .

TRY THIS………………

Evaluate Log₂(8192 x 256).