## Wednesday, September 17, 2008

### So Wrong It's Funny

This post is here to serve two purposes. First, I'd like to start recording some of the more comical mistakes I encounter while marking assignments, tests and whatnot. Second, I found something which allows for LaTeX equations to be embedded in a blogger post and I'm testing it out.

Obviously, whenever I post something from an assignment I mark I will not include any names or other identifying information.

The question:
$\mbox{Let }x\mbox{ be a real number. For what values of }x\mbox{ is the identity}\\ \log(x^2)=2\log(x)\\ \mbox{ valid? Explain and justify.}$

$\log(x^2)=2\log(x)\\
\log(x^2)-2\log(x)=0\\
\log(x)(\log(x)-2)=0\\
\mbox{So }\log(x)=0\mbox{ or }\log(x)=2\\
x=1\mbox{ or }x=100$

$\log(x^2)=2\log(x)\\