Chapter 3 - Mid-Chapter Check Point - Page 477: 21

$$\frac{1}{2} \log x + \frac{1}{2}\log y -3$$

Work Step by Step

We simplify as follows: $$\log \left ( \frac{\sqrt{xy}}{1000} \right )= \log \sqrt{xy} - \log 1000= \log (xy)^{\frac{1}{2}}-\log 10^3= \frac{1}{2} \log xy -3 \log 10= \frac{1}{2} \log x + \frac{1}{2}\log y -3$$

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