e-x-logx-

Question Number 115696 by Dwaipayan Shikari last updated on 27/Sep/20

e^{x} = logx

Commented by Dwaipayan Shikari last updated on 27/Sep/20

e^{x} = logx

e^{e^{x}} = x

e^{e^{e^{e^{d^{d^{d}}}}}} = x

e^{x} = x

x = logx

e^{- logx} = \frac{1}{logx}

- {logxe}^{- logx} = -

- logx = W_{0} (- 1)

x = e^{- W_{0} (- 1)} (Complex solution x \in C)

Error!

e^{x} = logx

And e^{x} = x ({dosen}^{'} t satisfy any condition)

Commented by TANMAY PANACEA last updated on 27/Sep/20

f r o m g r a p h i t i s c l e a r t h a t e^{x} a n d l n x n e v e r c r o s s

e a c h o t h e r \dots s o n o s o l u t i o n

Commented by Dwaipayan Shikari last updated on 27/Sep/20

Complex solution

No real solution

Commented by TANMAY PANACEA last updated on 27/Sep/20

o k