lnx

Input

log(x)

Plot

Plot
Plot

Root

x = 1

Properties as a real function

Domain

{x element R : x>0} (all positive real numbers)

Range

R (all real numbers)

Bijectivity

bijective from its domain to R

Derivative

d/dx(log(x)) = 1/x

Indefinite integral

integral log(x) dx = x (log(x) - 1) + constant
(assuming a complex-valued logarithm)