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Studied hard for an analysis exam, even trudging through the notes the professor wrote detailing past homework problems. It's bad enough the guy speaks broken English, but he writes exactly how he speaks, omitting "s" at the end of plural words and everything.
I figured that the proof of\ln(\frac{x}{y})=\ln(x)-\ln(y)would be included, so I read over my answer to that homework problem multiple times. I was right; it did come up on the test. And I remembered the trick used at the end of the proof to wrap it up. But I totally blanked on how to set up the problem to use the trick.
And that page of the exam had only a short expression crossed out completely when I handed it in.