log(75/16)-2log(5/9)+log(32/243)-log2
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Answer:
0
Step-by-step explanation:
formula:
log(a/b)=log(a)- log(b)
lag(ab)=log(a)*log(b)
nlog(m)=log(m^n)
=log(75/16)-2log(5/9)+log(32/243)-log2
=log(75)-log(16)-log(5/9)^2+log(32)-log(243)-log2
=log(25*3)-log(2^4)-2log(5)+2log(9)+log(2^5)-log(3^5)-log2
=log(25)+log(3)-4log(2)-2log(5)+4log(3)+5log2-5log(3)-log2
=2log(5)+log(3)-4log(2)-2log(5)+4log(3)+5log2-5log(3)-log2
=0
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