section 2.1 practice problem 35

[Suheng Yao]

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.

[kavinkandiah]

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)).

[Suheng Yao]

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?

[kavinkandiah]

I asked Victor and he said either is fine, depending on which is more convenient.