Here are the definitions and notations that we will

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Unformatted text preview: operties, as written above, won’t hold for this function. © 2007 Paul Dawkins 284 College Algebra Logarithm Functions In this section we now need to move into logarithm functions. This can be a tricky function to graph right away. There is going to be some different notation that you aren’t used to and some of the properties may not be all that intuitive. Do not get discouraged however. Once you figure these out you will find that they really aren’t that bad and it usually just takes a little working with them to get them figured out. Here is the definition of the logarithm function. If b is any number such that b > 0 and b ¹ 1 and x > 0 then, y = log b x is equivalent to by = x We usually read this as “log base b of x”. In this definition y = log b x is called the logarithm form and b y = x is called the exponential form. Note that the requirement that x > 0 is really a result of the fact that we are also requiring b > 0 . If you t...
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