Alg_Complete

# Ln e f x f x we saw this in the previous section

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Unformatted text preview: his we simply need to remember the following exponent property. 1 = a-n an © 2007 Paul Dawkins 296 http://tutorial.math.lamar.edu/terms.aspx College Algebra Using this gives, 22( 5-9 x ) = 2 -3( x - 2) So, we now have the same base and each base has a single exponent on it so we can set the exponents equal. 2 ( 5 - 9 x ) = -3 ( x - 2 ) 10 - 18 x = -3 x + 6 4 = 15 x 4 x= 15 And there is the answer to this part. [Return to Problems] Now, the equations in the previous set of examples all relied upon the fact that we were able to get the same base on both exponentials, but that just isn’t always possible. Consider the following equation. 7x = 9 This is a fairly simple equation however the method we used in the previous examples just won’t work because we don’t know how to write 9 as a power of 7. In fact, if you think about it that is exactly what this equation is asking us to find. So, the method we used in the first set of examples won’t work. The problem here is that the x is in the exponent. Because of that...
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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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