LOGARITHMS 1

Evaluate Log₂(256 x 8).

Solution

= Log₂(256 x 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

= 11

hence Log₂(128 x 8) = 11 

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

Evaluate Log₂(1024 x 32).