How does one go about solving $x = \log_2{x}$? Is there a technique to solve these sorts of problems?
How to solve problems such as $x = \log_2{x}$
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logarithms
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1Use the method of Newton - Raphson to find a root of the equation $x-\log_2x=0$. See http://en.wikipedia.org/wiki/Newton%27s_method – 2012-12-04