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[" st Year (Diploma) Basic Mathematics (Sem-1) "],[" f) "log((75)/(16))-2log((5)/(9))+log32-log243-log2]

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Prove that log(75/16)-2log(5/9)+log(32/243)=log2

((1)/(2))log9+2log3-log6+log2-2

Prove log""75/16-2log""5/9+log""32/243=log2.

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

log root(3)(6(2)/(9))=(1)/(3)(log7-2log3)+log2

log((9)/(14))+log((35)/(24))-log((15)/(16))=0

Prove that log frac(75)(16)-2log frac(5)(9)+log frac(32)(243)=log2

log((36)/(25))^(3)+3log(2)/(9)-log2=2log(16)/(125)