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How can I calculate the equation $x^x=5$

Is it an exponential function?

Thank you.

Harry Peter
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user148733
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    Take $\log$ of both sides and try to solve the resulting equation, numerically. – Samrat Mukhopadhyay May 08 '14 at 15:49
  • That is a 3-click chain to get to the original non-duplicate. – Zook May 08 '14 at 15:58
  • @Zook Oops! That was one to which I had quick access. For convenience for others: http://math.stackexchange.com/questions/54210/is-xx-y-solvable-for-x. Let's not make this a four-click chain. :) – apnorton May 08 '14 at 16:00

1 Answers1

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x=e^{W (5 \log )} .................

I.R
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  • Thank you very much. But what is W? – user148733 May 08 '14 at 15:54
  • We prefer to see answers here with some explanation. This looks like output from a computer algebra system, especially since the function $W$ is not declared. It would help to define what functions you're using, as well as show the process by which your answer is obtained. – apnorton May 08 '14 at 15:54
  • @user148733 Please see the link I gave below your question, it explains the answer to the general case to your question. – apnorton May 08 '14 at 15:55
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    http://en.wikipedia.org/wiki/Lambert_W_function – I.R May 08 '14 at 15:56
  • @user148733 W is a function namely Lambert W function and this answer is self understood. – I.R May 08 '14 at 15:59