Express as a single log and simplify:

User Generated

Nqnyr

Mathematics

Question Description

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

Student has agreed that all tutoring, explanations, and answers provided by the tutor will be used to help in the learning process and in accordance with Studypool's honor code & terms of service.

Explanation & Answer

Thank you for the opportunity to help you with your question!

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.

xzyqk4 (159)
New York University

Anonymous
Great study resource, helped me a lot.

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4