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Unformatted text preview: most people can determine the exponent that we need on 4 to get 16 once we do the
exponentiation. So, since, 4 2 = 16
we must have the following value of the logarithm. log 4 16 = 2
[Return to Problems] (b) log 2 16
This one is similar to the previous part. Let’s first convert to exponential form. log 2 16 = ? Þ 2? = 16 If you don’t know this answer right off the top of your head, start trying numbers. In other words,
compute 22 , 23 , 24 , etc until you get 16. In this case we need an exponent of 4. Therefore, the
value of this logarithm is, log 2 16 = 4
Before moving on to the next part notice that the base on these is a very important piece of
notation. Changing the base will change the answer and so we always need to keep track of the
base.
[Return to Problems] (c) log 6 216
We’ll do this one without any real explanation to see how well you’ve got the evaluation of
logarithms down. log 6 216 = 3 because 63 = 216
[Return to Problems] (d) log 5 1
125 Now, this one looks different from the previous parts, but it really isn’t any different....
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 Spring '12
 MrVinh

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