LOGARITHMS-8

Evaluate Log₂(256 ÷ 8).

Solution

= Log₂(256 ÷ 8)

= Log₂256 -  Log₂8          (applying the quotient rule)

= Log₂2⁸ -  Log₂2³             ( 256= 2⁸ and 8=2³ )

= 8Log₂2 -  3Log₂2       ( remember  Log_aa^c = cLog_aa )

= (8 x 1) - (3 x 1)          ( remember  Log_aa = 1 )

= 8 - 3

= 5

hence Log₂(128 ÷ 8) = 5 

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

Evaluate Log₂(1024 ÷ 32).