The reality is that we can use any logarithm to do

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Unformatted text preview: luation that we did in the first set of examples. This would require us to look at the following exponential form, 5? = 7 and that’s just not something that anyone can answer off the top of their head. If the 7 had been a 5, or a 25, or a 125, etc. we could do this, but it’s not. Therefore, we have to use the change of base formula. Now, we can use either one and we’ll get the same answer. So, let’s use both and verify that. We’ll start with the common logarithm form of the change of base. log 5 7 = log 7 0.845098040014 = = 1.20906195512 log 5 0.698970004336 Now, let’s try the natural logarithm form of the change of base formula. log 5 7 = ln 7 1.94591014906 = = 1.20906195512 ln 5 1.60943791243 So, we got the same answer despite the fact that the fractions involved different answers. © 2007 Paul Dawkins 294 College Algebra Solving Exponential Equations Now that we’ve seen the definitions of exponential and logarithm functions we need to st...
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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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