LOGARITHMS 5

Evaluate Log₂(1024 ÷ 16).

Solution

= Log₂(1024 ÷ 16)

= Log₂1024 - Log₂16          (applying the product rule)

= Log₂2¹⁰ -  Log₂2⁴             (1024= 2¹⁰ and 16=2⁴ )

= 10Log₂2 -  4Log₂2       ( remember  Log_aa^c = cLog_aa )

= (10 x 1) -  (4 x 1)          ( remember  Log_aa = 1 )

= 10 - 4

= 6

Hence  Log₂(1024 ÷ 16) = 6

TRY THIS………………

Evaluate Log₂(32÷64).