Toronto Math Forum

MAT244--2020F => MAT244--Lectures & Home Assignments => Chapter 2 => Topic started by: Suheng Yao on September 19, 2020, 04:52:11 PM

Title: section 2.1 practice problem 35
Post by: Suheng Yao on September 19, 2020, 04:52:11 PM
I had solved this equation to this implicit form, but I don't know how to simplify to a simpler form as the answer shown. Could someone help me? Thanks.
Title: Re: section 2.1 practice problem 35
Post by: kavinkandiah on September 19, 2020, 05:17:56 PM
Add all those terms on both sides so they're all positive instead (just make to make it easier), and then combine the ln|x| and ln|y/x+1| using product rule for logarithms (i.e., log(a)+log(b)=log(ab)).
Title: Re: section 2.1 practice problem 35
Post by: Suheng Yao on September 19, 2020, 05:45:09 PM
Thanks, and in tests, could we leave the answer in the implicit equation form? Or is it necessary to transform it into a parametric form as the professor taught in the class?
Title: Re: section 2.1 practice problem 35
Post by: kavinkandiah on September 20, 2020, 10:17:53 AM
I asked Victor and he said either is fine, depending on which is more convenient.