solve-2-x-2-x-2x-

Question Number 172021 by Mikenice last updated on 23/Jun/22

s o l v e :

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

Answered by puissant last updated on 23/Jun/22

\Rightarrow x^{2} l n 2 = 2 x l n x

\Rightarrow x l n 2 = 2 l n x

\Rightarrow \frac{l n x}{x} = \frac{l n 2}{2} \Rightarrow x = 2

Commented by mr W last updated on 23/Jun/22

\frac{l n x}{x} = \frac{l n 2}{2} = \frac{2 \times \ln 2}{2 \times 2} = \frac{\ln 4}{4}

\Rightarrow x = 2, x = 4

f r o m \frac{a}{b} = \frac{c}{d} w e g e t n o t o n l y

a = c, b = d . b u t g e n e r a l l y

a = k c, b = k d .

Commented by Tawa11 last updated on 25/Jun/22

Great sir

Facebook Tweet Pin