Function `f(x) =(log(pi+x)/(log(e+x)` is decreasing in the interval

The function f(x)=(log(pi+x))/(log(e+x)) is

The function f(x) = (log x)/(x) is increasing in the interval

The function f(x)=(log(pi+x))/(log(e+x)) s is

The function f(x)=(log(pi+x))/(log(e+x)) s is

the function f(x)=(log x)/(x) is increasing in the interval

Show that the function f(x) = log (sin x) (i) is strictly increasing in the interval ]0,pi/2[ . (ii) is strictly decreasing in the interval ]pi/2,pi[ .

The function f(x)=(ln(pi+x))/(ln(e+x)) is

The function f(x)=(ln(pi+x))/(ln(e+x)) is