LOGARITHMS 5

Evaluate Log₂(512 ÷ 16).

Solution

= Log₂(512 ÷ 16)

= Log₂512 -  Log₂16          (applying the quotient rule)

= Log₂2⁹ -  Log₂2⁴             ( 512= 2⁹ and 16=2⁴ )

= 9Log₂2 -  4Log₂2       ( remember  Log_aa^c = cLog_aa )

= (9 x 1) - (4 x 1)          ( remember  Log_aa = 1 )

= 9 - 4

= 5

hence Log₂(512 ÷ 16) = 5

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

Evaluate Log₂(1024 ÷ 32).