Function f has a vertical asymptote given by the vertical line x 0. Parentheses are sometimes added for clarity giving lnx log e x or logx. But it is more common to write it this way.
Ln as inverse function of exponential function.
Shifts stretches compressions and reflections. In mathematics the logarithm is the inverse function to exponentiationThat means the logarithm of a given number x is the exponent to which another fixed number the base b must be raised to produce that number xIn the simplest case the logarithm counts the number of occurrences of the same factor in repeated multiplication. But e is the amount of growth after 1 unit of time so lne 1. Ln x y 1 2 ln x ln y ln x y 1 2 ln x ln y Notice the parenthesis in this the answer.