My Math Forum X As An Exponent and As Part Of A Binomial

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 July 3rd, 2016, 05:30 PM #1 Senior Member   Joined: Oct 2013 From: New York, USA Posts: 645 Thanks: 85 X As An Exponent and As Part Of A Binomial How can you solve an equation in the form $\displaystyle 2^x = 3x + 1$?
 July 3rd, 2016, 06:13 PM #2 Global Moderator     Joined: Oct 2008 From: London, Ontario, Canada - The Forest City Posts: 7,945 Thanks: 1136 Math Focus: Elementary mathematics and beyond Generally, there is no elementary method for solving such an equation. One can, however, use the Lambert W function - see the general case given for Example 1. Thanks from topsquark and EvanJ

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