LOGARITHMS 20

Evaluate Log₂(256 x 32).

Solution

= Log₂(256 x 64)

= Log₂256 +  Log₂64          (applying the product rule)

= Log₂2⁸ +  Log₂2⁶             ( 256= 2⁸ and 32=2⁵ )

= 8Log₂2 +  6Log₂2       ( remember  Log_aa^c = cLog_aa )

= (8 x 1) +  (6 x 1)          ( remember  Log_aa = 1 )

= 8 + 6

= 14

hence Log₂(256 x 64) = 14

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

Evaluate Log₂(512 x 128).