Express as a single log and simplify:

Algebra
Tutor: None Selected Time limit: 1 Day

Express as a single log and simplify:log (Y^2-3y+2)-log(y^2-1)

Jun 14th, 2015

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log (Y^2-3y+2)-log(y^2-1)

1.  log ((Y^2-3y+2)/(y^2-1)) We divide because with "logs" a + is like multiplying and a - is like dividing. 

2.  log((y-2)(y-1)/(y-1)(y+1)) Break down the top and the bottom. Y^2 - 3y +2 can break down into (y-2)(y-1) and y^2-1 can break into (y-1)(y+1)... now you can eliminate y-1 because it is on both sides and you get the answer:

ANS: log((y-2)/(y+1)) so log[(y-2)/(y+1)]


Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 14th, 2015

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