MATHEMATICS PROBLEM SOLVER

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Monday 11 April 2016

LOGARITHMS-1

Evaluate Log₂(256 ÷ 4).

Solution

= Log₂(256 ÷ 4)

= Log₂256 - Log₂4 (applying the quotient rule)

= Log₂2⁸ - Log₂2² ( 256= 2⁸ and 4=2² )

= 8Log₂2 - 2Log₂2 ( remember Log_aa^c= cLog_aa )

= (8 x 1) - (2 x 1) ( remember Log_aa= 1 )

= 8 - 2

= 6

hence Log₂(128 ÷ 4) = 6

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

Evaluate Log₂(1024 ÷ 64).

MATHEMATICS PROBLEM SOLVER

Monday 11 April 2016

LOGARITHMS-1

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