LOGARITHMS J7

 

Evaluate Log₂(¹/256 ÷ 8).

 

Solution

 

= Log₂(¹/256 ÷ 8)

 

= Log₂(¹/256) -  Log₂8          (applying the quotient rule)

 

= Log₂256^-1 -  Log₂2³             ( 256= 2⁸ and 8=2³ )

 

= -1Log₂2⁸ -  3Log₂2       ( remember  Log_aa^c = cLog_aa )

 

= -1 x 8Log₂2 -  3Log₂2      

 

= (-8 x 1) - (3 x 1)          ( remember  Log_aa = 1 )

 

= -8 - 3

 

= -11

 

 

Hence Log₂(¹/256 ÷ 8) = -11 

 

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

 

 

Evaluate Log₂(¹/1024 ÷ 32).