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Unformatted text preview: hat the when we get down to a final logarithm
there shouldn’t be any number in front of the logarithm.
Note as well that these examples are going to be using Properties 5 – 7 only we’ll be using them
in reverse. We will have expressions that look like the right side of the property and use the
property to write it so it looks like the left side of the property.
(a) The first step here is to get rid of the coefficients on the logarithms. This will use Property 7
in reverse. In this direction, Property 7 says that we can move the coefficient of a logarithm up to
become a power on the term inside the logarithm.
Here is that step for this part. 7 log12 x + 2 log12 y = log12 x 7 + log12 y 2
We’ve now got a sum of two logarithms both with coefficients of 1 and both with the same base.
This means that we can use Property 5 in reverse. Here is the answer for this part. 7 log12 x + 2 log12 y = log12 ( x 7 y 2 ) [Return to Problems] (b) Again, we will first take care of the coefficients on the logarithms. 3log x - 6log y = log x3 -...
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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.
- Spring '12