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QUESTION

# How do you graph sqrt(ln x) ?

See the graph drawn below

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]}