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July 3rd, 2016, 06:30 PM  #1 
Senior Member Joined: Oct 2013 From: New York, USA Posts: 634 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, 07:13 PM  #2 
Global Moderator Joined: Oct 2008 From: London, Ontario, Canada  The Forest City Posts: 7,912 Thanks: 1110 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.


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