Use rules of logarithms to expand the following expression completely. $$\log \left [\left (\frac {\sage {p1f1}}{\sage {p1f2}}\right )^{\sage {p1pwr1}} \cdot \left (\frac {\sage {p1f3}}{\sage {p1f4}}\right )^{\sage {p1pwr2}}\right ] = \answer {\sage {p1ans1}} \log (x) + \answer {\sage {p1ans2}} \log (y) + \answer {\sage {p1ans3}} \log (z) + \answer {\sage {p1ans4}} \log (r)$$

Use rules of logarithms to expand the following expression completely. $$\log \left [\left (\frac {\sage {p2f1}}{\sage {p2f2}}\right )^{\sage {p2pwr1}} \cdot \left (\frac {\sage {p2f3}}{\sage {p2f4}}\right )^{\sage {p2pwr2}}\right ] = \answer {\sage {p2ans1}} \log (x) + \answer {\sage {p2ans2}} \log (y) + \answer {\sage {p2ans3}} \log (z) + \answer {\sage {p2ans4}} \log (r)$$

Use rules of logarithms to expand the following expression completely. $$\log \left [\left (\frac {\sage {p3f1}}{\sage {p3f2}}\right )^{\sage {p3pwr1}} \cdot \left (\frac {\sage {p3f3}}{\sage {p3f4}}\right )^{\sage {p3pwr2}}\right ] = \answer {\sage {p3ans1}} \log (x) + \answer {\sage {p3ans2}} \log (y) + \answer {\sage {p3ans3}} \log (z) + \answer {\sage {p3ans4}} \log (r)$$

Use rules of logarithms to expand the following expression completely. $$\log \left [\left (\frac {\sage {p4f1}}{\sage {p4f2}}\right )^{\sage {p4pwr1}} \cdot \left (\frac {\sage {p4f3}}{\sage {p4f4}}\right )^{\sage {p4pwr2}}\right ] = \answer {\sage {p4ans1}} \log (x) + \answer {\sage {p4ans2}} \log (y) + \answer {\sage {p4ans3}} \log (z) + \answer {\sage {p4ans4}} \log (r)$$