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Use the properties of logarithms to express each logarithm as a sum or difference of logarithms, or as a single number if possible. Assume that all variables represent positive real numbers. See Examples $1-5$.$$\log _{3} \sqrt{\frac{x y}{5}}$$
$\frac{1}{2} \log _{3} x+\frac{1}{2} \log _{3} y-\frac{1}{2} \log _{3} 5$
Algebra
Chapter 12
Inverse, Exponential, and Logarithmic Functions
Section 4
Properties of Logarithms
Functions
Exponential and Logarithmic Functions
Campbell University
Baylor University
University of Michigan - Ann Arbor
Lectures
01:32
In mathematics, the absolu…
01:11
00:47
Use the properties of loga…
01:04
00:52
00:54
00:18
00:13
00:12
00:17
00:49
Okay, so we want to expand the falling. So let's felt that we have the square root symbol so we can actually relate this as an exponents. So that would be X Y over five to Faro 1/2. I know we can use our power rule to bring that down. Do we have 1/2 log based three of X Y over five. Now let's notice that we have this division sign. So it's used o r quotient role, so we can get this as a 1/2 log. These three. And actually we can use our product role here. It's you. So we get X plus log base three of why minus log based, three of five.
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