1. Prove that the function `f(x)=log_a x` is increasing on `(0 , oo )` if a > 1 and decreasing on `(0, oo)`, if `0

Prove that the function f(x)=(log)_e x is increasing on (0,\ oo) .

Prove that the function f(x)=log_(e)x is increasing on (0,oo)

Prove that the function f(x)=(log)_e x is increasing on (0,oo)dot

Prove that the function f(x)=(log)_a x is increasing on (0,oo) if a >1 and decreasing on (0,oo), if 0ltalt1

Prove that the function f(x)=(log)_(a)x is increasing on (0,oo) if a>1 and decreasing on (0,oo), if 0

Prove that the function f(x)=(log)_(e)x is increasing on (0,oo)

Show that the function f(x)=1/x is decreasing in (0,oo) .

Show that the function f(x ) = |x| is (a) striclty increasing on [0, oo] (b) strictly decreasing on [-oo, 0]

Without using the derivative,show that the function f(x)=|x| is strictly increasing in (0,oo) strictly decreasing in (-oo,0)

Prove that function f(x)=log_(e)x is strictly increasing in the interval (0,oo)