SOLUTION: Please simplify (2log3-log27)÷(log1/9)(log100)
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Question 837717: Please simplify (2log3-log27)÷(log1/9)(log100)
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
simplify (2log3-log27)÷(log1/9)(log100)
assume (+) sign in place of (÷) sign
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2log3-log27=log(3^2)-log(27)=log(9/27)=log(1/3)
(log1/9)(log100)=2log(1/9)=log(1/81)=log(1/(3^4)
(2log3-log27)÷(log1/9)(log100)=
log(1/3)+log(1/(3^4)=log(1/3)(1/(3^4)=log(1/(3^5)=log(3^-5)=-5log(3)
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