Ln 7 x ln 9 x ln 7 ln 9 now we need to solve for x

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Unformatted text preview: art thinking about how to solve equations involving them. In this section we will look at solving exponential equations and we will look at solving logarithm equations in the next section. There are two methods for solving exponential equations. One method is fairly simple, but requires a very special form of the exponential equation. The other will work on more complicated exponential equations, but can be a little messy at times. Let’s start off by looking at the simpler method. This method will use the following fact about exponential functions. If b x = b y then x = y Note that this fact does require that the base in both exponentials to be the same. If it isn’t then this fact will do us no good. Let’s take a look at a couple of examples. Example 1 Solve each of the following. (a) 53 x = 57 x - 2 [Solution] 2 (b) 4t = 46-t [Solution] (c) 3z = 9 z +5 [Solution] (d) 45-9 x = 1 8 x -2 [Solution] Solution (a) 53 x = 57 x - 2 In this first part we have the same base on both exponentials so there really isn’t much to do other tha...
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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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