Find-the-value-of-x-x-x-x-729-Please-show-me-workings-

Question Number 5762 by sanusihammed last updated on 26/May/16

F i n d t h e v a l u e o f x

\sqrt{x^{x^{x}}} = 729

P l e a s e s h o w m e w o r k i n g s .

Commented by FilupSmith last updated on 27/May/16

x^{x^{x}} = 729^{2}

x^{x} \ln x = 2 \ln 729

x \ln x + \ln (\ln x) = \ln (2 \ln 729)

\dots ?