Comments on: Help with Natural Log, E? http://www.about-siding.com/help-with-natural-log-e/144/ Your Questions, Our Answers Mon, 21 May 2012 05:15:47 +0000 http://wordpress.org/?v=2.2.1 By: jesteele1948 http://www.about-siding.com/help-with-natural-log-e/144/#comment-229 jesteele1948 Sun, 20 Jan 2008 23:35:08 +0000 http://www.about-siding.com/help-with-natural-log-e/144/#comment-229 To start with, you have the statement that 5 times an unknown is zero. The only way that can be true is if the unknown is zero. True? so e^x=0 taking the natural log (ln) of both sides, you have x=-infinity You know the log (in any base) of 1 is 0. The log (in any base, of a fraction less than 1 is negative. And the closer you get to zero, the more negative is the log. Not easy to graph, but easy to imagine. To start with, you have the statement that 5 times an unknown is zero. The only way that can be true is if the unknown is zero. True?

so e^x=0

taking the natural log (ln) of both sides, you have
x=-infinity

You know the log (in any base) of 1 is 0. The log (in any base, of a fraction less than 1 is negative.
And the closer you get to zero, the more negative is the log.

Not easy to graph, but easy to imagine.

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