NAME : CLASS : Properties of Logarithms 16 Questions DATE : 1. Write logb(xy) as two logs A logbx/logby B logbx+logby C logbx-logby D logbx*logby 2. Write logb(x/y) as two logs A logbx*logby B logbx+logby C logbx/logby D logbx-logby 3. Rewrite logb(xn) A logb(xn) B xnlogbx C nlogbx D (logbx)n 4. Which property of logarithms is demonstrated below: log9 20 = log 20 log 9 A Change of Base Property B Product property C Power property D Quotient property 5. Use the properties of logarithms to retwrite A D B A C B D C 6. Rewrite as a single logarithm: log 3 + log 7 A log 21 B log 3/log 7 C log 10 D log 3/7 7. Rewrite as a single logarithm: log2 60 − log2 10 A log2 60 log2 10 B log2 6 C 8. log2 70 D log2 50 Use the properties of logarithms to rewrite as the sum of two logarithms: log 55 A log 40 + log 15 C log 11 + log 5 9. Use the properties of logarithms to rewrite as the difference of two logs: B log 50 + log 5 log5 45 A log 45 log 5 C log5 15 − log5 3 B D log5 50 − log5 5 log5 90 − log5 2 10. Which of the logarithms below is equivalent to the following: 2 log 12 A log 24 B log 6 C log 144 D log 10 11. Use the change of base rule to simplify. Round your answer to the nearest thousandth: log4 20 12. Use the change of base property to rewrite as a single logarithm: log 15 log 3 A log 5 B log15 3 C log3 15 D log B True B False B True 13. True or False: log 12 - log 4 = log 8 A False 14. −2 log 3 = log 1 9 True or False: A 15. True log 7 7 = log ( ) log 20 20 True or False: A False 1 5 16. BONUS: Expand log6(5x3/y). A log65x3-log6y C log65+log6x3-log6y B log65+3log6x-log6y