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Use the properties of logarithms to write each expression as a single logarithm. Assume that all variables are defined in such a way that the variable expressions are positive, and bases are positive numbers not equal to 1. See Examples $1-5$.$$\left(\log _{a} p-\log _{a} q\right)+2 \log _{a} r$$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 4
Properties of Logarithms
Functions
Exponential and Logarithmic Functions
Oregon State University
Baylor University
Lectures
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In mathematics, the absolu…
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Use the properties of loga…
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So we want to turn this into a single log. Well, it's nice that we have a My sign between two bugs so we can use are questionable. And here we have a two so we can use our power rule. Bring that back into our power. So we get log this a of P over. Is that a P? That should be a que Okay, So let's hear that as a cue for that to be over Q and N Plus Log base A of R squared. Now let's notice that we have a plus between two logs with the same base so we can use our product role. So that gives us a log. This a of P r squared all over cute.
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