We need a single log in the equation with a

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Unformatted text preview: k at equations in which every term is a logarithm and we also look at equations in which all but one term in the equation is a logarithm and the term without the logarithm will be a constant. Also, we will be assuming that the logarithms in each equation will have the same base. If there is more than one base in the logarithms in the equation the solution process becomes much more difficult. Before we get into the solution process we will need to remember that we can only plug positive numbers into a logarithm. This will be important down the road and so we can’t forget that. Now, let’s start off by looking at equations in which each term is a logarithm and all the bases on the logarithms are the same. In this case we will use the fact that, If log b x = log b y then x = y In other words, if we’ve got two logs in the problem, one on either side of an equal sign and both with a coefficient of one, then we can just drop the logarithms. Let’s take a look at a couple of examples. Example 1 Solve each of the following equations. (a) 2 log 9 x - log 9 ( 6 x - 1) = 0 [Solution] () (b) log x + log ( x -...
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