Question

The equation x log x = 3 - x has at least one root in

Answer 1

$x\log x=3-x$

$x\log -x=3$

$x(\log x-1)=3$

$\log x-1=\frac{3}{x}$

$\log x=1+\frac{3}{4}$

$x=e^{1+\frac{3}{4}}$

$xϵ[1,\infty )$