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**StarKid** Hi. I'm looking for some general tips for solving equations that I'm running into as I study for the Math GRE Subject test. For example, I have a problem where I have to find the intersection of $\displaystyle y=x^{12}$ and $\displaystyle y=2^{x}$, and another where I need to find the intersection of $\displaystyle y=10x$ and $\displaystyle y=e^{x}$. Usually, one function is some sort of polynomial and the other is an exponential function. I don't even know what subject this falls under, so I'm not sure what sorts of textbooks to look into. Often, the questions just ask how many points of intersection there are, as opposed to what the values are, so maybe there is some sort of method for that that I don't know about.

Thanks.