Hello, yet another question, sorry.
My book has the following equation:
Now, I worked this out, and got that x had to equal 1 or 3. Neither of those are possible, as they give you a negative inside the parenthesis. So, I wrote off the problem, and assumed it was one of the "no solution" problems. Well, I found myself shocked when I looked in the back of the book to check my answers, and it showed that x = -1. Doesnt that make the first log impossible? I cant even get that to work on my calculator.
I assumed that maybe the book made a mistake, so I went online and looked for one of those lists of corrections for books, and found them actually defending the -1 answer, after lots of people had said it was a mistake. Their reasoning was as such:
Many students want to solve this as follows:
This equality has the solution as x=1 or x=3.
It is because of this that students lose one of the solutions. With the above, they dont get x=-1, and it is easy to conclude that the quality has no solution, because x=1 and x=3 cannot be used.
The problem is in line number 2 in this solution. The left side is defined when x>1 and the right side is defined when x<1. Meaning no solution.
Am I completely off base, or is the book, and the person that wrote that response wrong? I want to assume they are right, since I am not exactly a math wiz, but I cannot get it to work.
Edit: Sorry, forgot to clip out the Norwegian after I translated it.