How do you graph sqrt(ln x) ?

1 Answer
Feb 16, 2016

See the graph drawn below

Explanation:

  1. ln0 is undefined. It's not a real number, because you can never get zero by raising anything to the power of anything else.

  2. Also, function lnx is negative for all values of x<1, as square root of given function is real only for x>=0.

  3. Hence point (1,0) lies on the graph and the graph does not exist for all values of x<1

  4. Graph increases as square root of a logarithmic for all positive values of x

graph{y=(ln x)^(1/2) [-0.35, 9.104, -0.55, 4.18]}