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It is important to keep the notation with logarithms straight, if you don’t you will find it very
difficult to understand them and to work with them.
Now, let’s take a quick look at how we evaluate logarithms. Example 1 Evaluate each of the following logarithms.
(a) log 4 16 [Solution]
(b) log 2 16 [Solution]
(c) log 6 216 [Solution]
(d) log 5
(e) log 1 81 [Solution]
3 © 2007 Paul Dawkins 285 http://tutorial.math.lamar.edu/terms.aspx College Algebra (f) log 3
8 [Solution] Solution
Now, the reality is that evaluating logarithms directly can be a very difficult process, even for
those who really understand them. It is usually much easier to first convert the logarithm form
into exponential form. In that form we can usually get the answer pretty quickly.
(a) log 4 16
Okay what we are really asking here is the following. log 4 16 = ?
As suggested above, let’s convert this to exponential form. log 4 16 = ? Þ 4? = 16 Most people cannot evaluate the logarithm log 4 16 right off the top of their head. However,...
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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.
- Spring '12