(adsbygoogle = window.adsbygoogle || []).push({}); [SOLVED] intersections of graphs

1. The problem statement, all variables and given/known data

At how many points in the xy-plane do the graphs of y=x^12 and y=2^x intersect?

2. Relevant equations

3. The attempt at a solution

When x is positive we have x^12=e^{12 logx} and y=2^x = e^{x log 2}. When x is negative, we have x^12=e^{12 log -x} and 2^x=e^{x log 2} so we need to find all positive solutions to

x log 2 = 12 log x

-x log 2 = 12 log x

or

x = 12 log_2 x

-x = 12 log_2 x

Does anyone know how to do that...?

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# Homework Help: Intersections of graphs

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