Alg_Complete

# A log 4 x3 y 5 solution x9 y5 3 z b log c

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Unformatted text preview: se 3 27 æ3ö 3 = 3= ç÷ 8 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. (a) log1000 1 (b) log 100 1 (c) ln e (d) ln e (e) log 34 34 (...
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