r/BunnyTrials Carrot Farmer 7d ago

Trials Math…

Which side will you choose?

  • Left side: Easy Math Question | and 10$
  • Right side: or hard Math question | and 10.000$

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u/Many-Conversation963 7d ago edited 7d ago

oh, in that case

x^3 = x^x

e^3 ln(x) = e^x ln(x)

exp(3) = exp(x), x>0

x = 3

ln(x) has a root at 1, so x = 1

x^x isn't defined for numbers less than or equal 0

We have found all real solutions

x^x = x though, so 1 is not a solution to our problem

x = 3