LOGARITHMS 9

Evaluate Log₂(1024 x 8).

Solution

= Log₂(1024 x 8)

= Log₂1024 +  Log₂8          (applying the product rule)

= Log₂2¹⁰ +  Log₂2³             ( 1024= 2¹⁰ and 8=2³ )

= 10Log₂2 +  3Log₂2       ( remember  Log_aa^c = cLog_aa )

= (10 x 1) +  (3 x 1)          ( remember  Log_aa = 1 )

= 10 + 3

= 13

hence Log₂(1024 x 8) = 13 

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

Evaluate Log₂(1024 x 64).