LOGARITHMS 14

Evaluate Log₂(1024 ÷ 8).

Solution

= Log₂(1024 ÷ 8)

= Log₂1024 -  Log₂8          (applying the quotient 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

= 7

hence Log₂(1024 ÷ 8) = 7 

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

Evaluate Log₂(1024 ÷ 64).