Find-the-value-of-x-4-x-243-x-

Question Number 6838 by Tawakalitu. last updated on 30/Jul/16

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

4^{x} = \frac{243}{x}

Commented by Yozzii last updated on 31/Jul/16

4^{x} = \frac{243}{x}

{x e}^{x l n 4} = 243

(x l n 4) e^{x l n 4} = 243 l n 4

\Rightarrow W ((x l n 4) e^{x l n 4}) = W (243 l n 4)

\Rightarrow x l n 4 = W (243 l n 4)

x = \frac{W (243 l n 4)}{l n 4} \approx 3.14

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

i r e a l l y a p p r e c i a t e .