I'm not sure why Alexa would know to look for that image unless it has seen that path before and went looking for it automatically. Same thing with google. If it indexed your site once with the broken image path, it might hit your site expecting to see the same image, so it requests it? Just guesses.
However, I've never seen logs located in a directory that could be indexed. If yours are, you should move them for security and visitor's privacy.
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