LOGARITHMS 4

Evaluate Log₂(2048 x 16).

Solution

= Log₂(2048 x 16)

= Log₂2048 +  Log₂16          (applying the product rule)

= Log₂2¹¹ +  Log₂2⁴             ( 2048= 2¹¹ and 16=2⁴ )

= 11Log₂2 +  4Log₂2       ( remember  Log_aa^c = cLog_aa )

= (11 x 1) +  (4 x 1)          ( remember  Log_aa = 1 )

= 11 + 4

= 15

hence Log₂(2048 x 16) = 15

TRY THIS…………………

Evaluate Log₂(8 x 512)