Since the logarithmic function f(x) = log a x is the inverse of the exponential function f(x) = ax, the graphs of these two functions are reflections of each other through the line y = x.
'Also, since the exponential function with a ≠ 0 has domain ú and range (0, ∞), we conclude its inverse, the logarithmic function, has domain (0, ∞) and range ú. Finally,since f(x) = ax has a horizontal asymptote at y = 0, f(x) = log a x has a vertical asymptote at x = 0.