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When Does Exponentiation Commute ? (Part 2)

Mathoma 7,560 9 years ago
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In this video, we continue the discussion of finding (x,y) pairs that will commute under exponentiation: x^y = y^x. This time, we will find another way of writing Euler's number and solve the equation x^y = y^x for y with the help of the Lambert W function. Ideas were adapted from the following paper: http://www.ww.amc12.org/sites/default/files/pdf/upload_library/22/Chauvenet/Knoebelchv.pdf

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