Monday 31 October 2016

LOGARITHMS 1


Evaluate Log2(2048 x 32).

Solution

= Log2(2048 x 32)

= Log22048 +  Log232          (applying the product rule)

= Log2211 +  Log225             (2048= 211 and 32=25 )

= 11Log22 +  5Log22       ( remember  Logaac = cLogaa )

= (11 x 1) +  (5 x 1)          ( remember  Logaa = 1 )

= 11 + 5

= 16

hence Log2(2048 x 32) = 16

TRY THIS………………



Evaluate Log2(8 x 256). 

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