Is there any difference between the graph of y=ln x and the graph of y = absolute ln x?

Question

anonymous · Answer

sorry but could you elaborate on what you mean by "absolute"? Do you mean absolute value? If so then there is a difference. ln(x) < 0 for values of x between 0 and 1. The Absolute value of ln(x) would make that positive, which is different from the original function

anonymous · Answer

you can see graphical differences here... http://www.wolframalpha.com/input/?i=ln%28x%29+for+x+%3D+0+to+10 http://www.wolframalpha.com/input/?i=abs%28ln%28x%29%29+for+x+%3D+0+to+10

anonymous · Answer

my bad! the second function is $$y = \ln \left| x \right|$$

anonymous · Answer

ah....well then there is a different question. ln(x) isn't defined for values of x less than or equal to 0, or at least the numbers are complex. If you care about complex numbers then yes they are different, otherwise no, because you're only looking at positive values of x anyway