x-x-16-find-the-value-of-x-

Question Number 6846 by Tawakalitu. last updated on 30/Jul/16

x^{x} = 16

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

Commented by Rasheed Soomro last updated on 31/Jul/16

2^{2} < 16 < 3^{3}

S o, 2 < x < 3

C a n w e d e t e r m i n e x b y i n t e r p o l a t i o n ?

Q u e s t i o n f o r t h e s a k e o f l e a r n i n g .

Commented by Tawakalitu. last updated on 31/Jul/16

P l e a s e u s e t h e l a m b e r t f u n c t i o n

Commented by prakash jain last updated on 31/Jul/16

x \ln x = \ln 16

e^{\ln x} \ln x = \ln 16

W (e^{\ln x} \ln x) = W (\ln 16)

\ln x = W (\ln 16)

x = e^{W (\ln 16)}

Commented by Tawakalitu. last updated on 31/Jul/16

T h a n k s s o m u c h