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è2ø 2 [Return to Problems] Hopefully, you now have an idea on how to evaluate logarithms and are starting to get a grasp on
the notation. There are a few more evaluations that we want to do however, we need to introduce
some special logarithms that occur on a very regular basis. They are the common logarithm and
the natural logarithm. Here are the definitions and notations that we will be using for these two
logarithms. common logarithm : log x = log10 x natural logarithm : ln x = log e x So, the common logarithm is simply the log base 10, except we drop the “base 10” part of the
notation. Similarly, the natural logarithm is simply the log base e with a different notation and
© 2007 Paul Dawkins 287 http://tutorial.math.lamar.edu/terms.aspx College Algebra where e is the same number that we saw in the previous section and is defined to be
e = 2.718281827 K .
Let’s take a look at a couple more evaluations. Example 2 Evaluate each of the following logarithms.
(d) ln e
(e) log 34 34
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- Spring '12