4.4 - Solving Exponential and Logarithm Equations

# 4.4 - Solving Exponential and Logarithm Equations -

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<?xml version="1.0" encoding="iso-8859-1"?> <!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN" "http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd"> <html xmlns="http://www.w3.org/1999/xhtml"> <head> <title>4.4 - Solving Exponential and Logarithm Equations</title> <link href=". ./m116.css" rel="stylesheet" type="text/css" /> <meta http-equiv="Content-Type" content="text/html; charset=iso-8859-1" /> </head> <body> <h1>4.4 - Solving Exponential and Logarithm Equations</h1> <h2>Inverses</h2> <p>Remember that exponential and logarithmic functions are one-to-one functions. That means that they have inverses. Also recall that when inverses are composed with each other, they inverse out and only the argument is returned. We're going to use that to our benefit to help solve logarithmic and exponential equations. </p> <p>Please recall the following facts:</p> <ul> <li>log<sub>a</sub> a<sup>x</sup> = x</li> <li>log 10<sup>x</sup> = x</li> <li>ln e<sup>x</sup> = x</li> <li>a <sup>log<sub>a</sub> x</sup> = x</li>

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## This note was uploaded on 10/18/2011 for the course MAT 1033 taught by Professor Brown during the Spring '10 term at Valencia.

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4.4 - Solving Exponential and Logarithm Equations -

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