LOGARITHMS 9

Evaluate Log₂(32 x 16).

Solution

= Log₂(32 x 16)

= Log₂32 +  Log₂16          (applying the product rule)

= Log₂2⁵ +  Log₂2⁴             ( 32= 2⁵ and 16=2⁴ )

= 5Log₂2 +  4Log₂2       ( remember  Log_aa^c = cLog_aa )

= (5 x 1) +  (4 x 1)          ( remember  Log_aa = 1 )

= 5 + 4

= 11

hence Log₂(32 x 16) = 11

TRY THIS…………………

Evaluate Log₂(8 x 32).