LOGARITHMS 1

Evaluate Log₂(2048 x 1024).

Solution

= Log₂(2048 x 1024)

= Log₂2048 +  Log₂1024          (applying the product rule)

= Log₂2¹¹ +  Log₂2¹⁰             (2048= 2¹¹ and 1024=2¹⁰ )

= 11Log₂2 +  10Log₂2       ( remember  Log_aa^c = cLog_aa )

= (11 x 1) +  (10 x 1)          ( remember  Log_aa = 1 )

= 11 + 10

= 21

hence Log₂(2048 x 1024) = 21

TRY THIS………………

Evaluate Log₂(1024 x 256).