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I have a presentation in which I want to point out a difference between two functions. Instead of putting the two functions on a slide and pointing to the differences, I want to do something simple.

The first function has a form of $f_1(x) = g(x)\log (h(x))$ and the second function has the form $f_2(x) = g(x)\log(r(x)h(x))$.

The thing is that saying something along the lines "$f_2(x) - f_1(x)$ have the form of $g(x)\log r(x)$ keeps the $g(x)$ (which is rather complicated) and saying something like $f_2(x)/f_1(x)$ has the form $\log h(x) / \log (r(x)h(x))$ is also cumbersome.

Does anyone see a clear way to point out the difference between these two functions by only making explicit the additional $r(x)$?

I would really like to make it simple, ideas are welcome.

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    How about $f_1/g - f_2/g$?2011-01-02
  • 0
    How about $\frac{f_2}{f_1}=1+ \log _{r(x)} h(x) $?2011-01-02

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