Monday, 8 February 2016

LOGARITHMS - 5


Evaluate Log2(512 ÷ 8).

Solution

= Log2(512 ÷ 8)

= Log2512 -  Log28          (applying the quotient rule)

= Log229 -  Log223             ( 256= 28 and 8=23 )

= 9Log22 -  3Log22       ( remember  Logaac = cLogaa )

= (9 x 1) - (3 x 1)          ( remember  Logaa = 1 )

= 9 - 3

= 6


hence Log2(128 ÷ 64) = 6

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


Evaluate Log2(1024 ÷ 32). 

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