LOGARITHMS-9

Evaluate Log₂(512 ÷ 8).

Solution

= Log₂(512 ÷ 8)

= Log₂512 -  Log₂8          (applying the quotient rule)

= Log₂2⁹ -  Log₂2³             ( 512= 2⁸ and 8=2³ )

= 9Log₂2 -  3Log₂2       ( remember  Log_aa^c = cLog_aa )

= (9 x 1) - (3 x 1)          ( remember  Log_aa = 1 )

= 9 - 3

= 6

hence Log₂(512 ÷ 8) = 6

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

Evaluate Log₂(1024 ÷ 32).