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Exp=log (Posted on 2012-12-12) Difficulty: 2 of 5
Find all values of b such that the equation

bx = logbx

has exactly one real solution.

  Submitted by Jer    
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Solution: (Hide)
b = e1/e, the solution is x = e.

Also any of e-e < b < 1 yields a single solution.

See the second post by Harry to get a full explanation.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
Solution - correctionHarry2012-12-13 22:54:53
re: SolutionCharlie2012-12-13 16:18:18
SolutionSolutionHarry2012-12-13 14:49:12
re(3): possible solution--correctionJer2012-12-13 11:13:02
re: SPOILERbroll2012-12-13 05:54:17
re(2): possible solution--correctionbroll2012-12-13 04:21:06
re: possible solution--correctionCharlie2012-12-12 17:24:19
Solutionpossible solutionCharlie2012-12-12 17:11:08
SolutionSPOILERAdy TZIDON2012-12-12 15:02:06
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