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Simplify :(log 75/16-2 log 5/9+log 32/243)

A. 1

B. 1.2

C. 2

D. 2.02

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Correct Answer :

C. 2



log 75/16-2 log 5/9+log 32/243


= log 75/16-log(5/9)2+log32/243


= log 75/16-log25/81+log 32/243


= log(75/16*32/243*81/25)=log 2

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