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Unformatted text preview: e of quick graphs. © 2007 Paul Dawkins 288 College Algebra Example 3 Sketch the graph of the common logarithm and the natural logarithm on the same axis system. Solution This example has two points. First, it will familiarize us with the graphs of the two logarithms that we are most likely to see in other classes. Also, it will give us some practice using our calculator to evaluate these logarithms because the reality is that is how we will need to do most of these evaluations. Here is a table of values for the two logarithms. x log x ln x 1 2 -0.3010 -0.6931 1 2 3 4 0 0.3010 0.4771 0.6021 0 0.6931 1.0986 1.3863 Here is a sketch of the graphs of these two functions. Now let’s start looking at some properties of logarithms. We’ll start off with some basic evaluation properties. Properties of Logarithms 1. log b 1 = 0 . This follows from the fact that b 0 = 1 . 2. log b b = 1 . This follows from the fact that b1 = b . 3. log b b x = x . This can be g...
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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