Thursday, May 24, 2012

Natural Logarithm

Some book authors define the natural logarithm function, ln (x) as


If we take a look at the graphs below, the red curve represents the graph of , and the dark green curve represents the graph of . The purple region falls below the red curve is bounded between x = h and 1, while the blue region is bounded between x = 1 and k.

Now scroll the value of k, do you notice that point K moves according to the k value? The y-coordinate of point K is the area of the blue region. Same concept applies to the value of h and point H. Here comes the question, do you know how to get negative y-coordinate for point H?

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Betty, Created with GeoGebra


  1. Logarithmic questions are one of the most difficult problems of mathematics but it is very helpful in solving the limit and function problems.

  2. Wow! I'm basically impressed by the way you detailed out just about almost everything. It's definitely going to assist me a fantastic deal. Thanks for sharing your thoughts so clearly.

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