LOGARITHMS 17

Evaluate Log₂(256 ÷ 8).

Solution

= Log₂(256 ÷ 8)

= Log₂256 -  Log₂8          (applying the product 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 answer

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

Evaluate Log₂(1024 - 32).