LOGARITHMS 1

Evaluate Log₂(32 x 2).

Solution

= Log₂(32 x 2)

= Log₂32 +  Log₂2          (applying the product rule)

= Log₂2⁵ +  Log₂2¹             (32= 2⁵ and 2=2¹ )

= 5Log₂2 +  1Log₂2       ( remember  Log_aa^c = cLog_aa )

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

= 5 + 1

= 6

hence Log₂(32 x 2) = 6

TRY THIS………………

Evaluate Log₂(128 x 4).