LOGARITHMS 15

Evaluate Log₂(1024 x 32).

Solution

= Log₂(1024 x 32)

= Log₂1024 +  Log₂32          (applying the product rule)

= Log₂2¹⁰ +  Log₂2⁵             (1024= 2¹⁰ and 32=2⁵ )

= 10Log₂2 +  5Log₂2       ( remember  Log_aa^c = cLog_aa )

= (10 x 1) +  (5 x 1)          ( remember  Log_aa = 1 )

= 10 + 5

= 15

hence Log₂(1024 x 32) = 15

TRY THIS………………

Evaluate Log₂(256 x 64).