The function $f(x) = \large\frac{\ln(\pi+x)}{\ln (e+x)}$ is

Question

$\begin{array}{1 1} increasing\;on\;[0, \infty] \\ decreasing\;on\;[0, \infty] \\ increasing \;on\; [0, \frac{\pi}{e} ]\;and \;decreasing\;on[\frac{\pi}{e},1^{\infty}] \\decreasing\;on[0,\frac{\pi}{e}]\;and\;increasing\;on[ \frac{\pi}{e},1^{\infty} \end{array}$