Alg_Complete

# Here we are compounding monthly and so that means we

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Unformatted text preview: need to remember the exponential form of the logarithm. Here it is if you don’t remember. y = log b x © 2007 Paul Dawkins Þ 304 by = x http://tutorial.math.lamar.edu/terms.aspx College Algebra We will be using this conversion to exponential form in all of these equations so it’s important that you can do it. Let’s work some examples so we can see how these kinds of equations can be solved. Example 2 Solve each of the following equations. (a) log 5 ( 2 x + 4 ) = 2 [Solution] (b) log x = 1 - log ( x - 3) ( [Solution] ) (c) log 2 x 2 - 6 x = 3 + log 2 (1 - x ) [Solution] Solution (a) log 5 ( 2 x + 4 ) = 2 To solve these we need to get the equation into exactly the form that this one is in. We need a single log in the equation with a coefficient of one and a constant on the other side of the equal sign. Once we have the equation in this form we simply convert to exponential form. So, let’s do that with this equation. The exponential form of this equation is, 2 x + 4 = 52 = 25 Notice that this...
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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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