LOGARITHMS 4

Evaluate Log₂(256 x 32).

Solution

= Log₂(256 x 32)

= Log₂256 +  Log₂32          (applying the product rule)

= Log₂2⁸ +  Log₂2⁵             ( 256= 2⁸ and 32=2⁵ )

= 8Log₂2 +  5Log₂2       ( remember  Log_aa^c = cLog_aa )

= (8 x 1) +  (5 x 1)          ( remember  Log_aa = 1 )

= 8 + 5

= 13

hence Log₂(128 x 32) = 13 

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

Evaluate Log₂(1024 x 16).