LOGARITHMS 4

Evaluate Log₂(256 x 64 x 32).

Solution

= Log₂(256 x 64 x 32)

= Log₂256 +  Log₂64 +  Log₂32                   (applying the product rule)

= Log₂2⁸ +  Log₂2⁶    +  Log₂2⁵                      ( 256= 2⁸ and 64=2⁶ ,32=2⁵)

= 8Log₂2 +  6Log₂2    +  5Log₂2         ( remember  Log_aa^c = cLog_aa )

= (8 x 1) +  (6 x 1) +  (5 x 1)                  ( remember  Log_aa = 1 )

= 8 + 6 + 5

= 19

hence Log₂(256 x 64 x 32) = 19

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

Evaluate Log₂(512 x 128 x 32).