The definition domain is x∈(0, +∞) and the value domain is (-∞, +∞).

The graph is distributed in a quadrant,

When x

When x= 1 and y=0,

When x> is in 1, y>0.

Image must pass (1, 0), (e, 1).

Monotonicity is: monotonic increase,

Parity is: odd or even.