Name ___________________________________________ © 2009, A. Azzolino   www.mathnstuff.com/papers/condots/logbiga.htm Sweet Log Treat Connect the answers in order.

Expand or simplify the log to complete the statement. Start a new line. 1. 2log(a)     log(____) = log(a2) 2. log(xy) = log(x)+log(y) 3. log(x4 y) = 4log(x)+.5log(y) 4. log(x+y) = log(x+y) 5. log3(1/81) = - 4 6. log3(1) = 0 7. log3( 3) = 1/2 8. log(3x)3 = 3[log(x)+log(3)] 9. log(x-3)3 = 3log(x -3) 10. log(x2 - 9) = log(x-3) + log(x+3) 11. log3( 2)3 = 1.5log3(2) 12. log2(1/4)= -2 13. log( a) = log(a)/2 14. log3( 81)3 = log3(9)3 = 3(2) = 6 15. - ln(1/x) = ln(x) 16. 2ln(3) - ln(8)/3 = ln(4.5) 17. log(x) - 3log(y) + log(4)/2 = log(x/y3) + log(2) 18. 4ln(xy 3/z)= 4ln(x) + 4ln(y) + 2ln(3) - 4ln(z) 19. ln(3)+ln(x) = ln(3x) 20. log3( 12) = log3(2 3) =log3(2)+ 1/2 21. log3(x) + log3(y) + log3(z) 22. 3log(x)-log(2) 23. log(2x)2 = log(4) + 2log(x) 24. log(2+x)2 = 2log(2+x) 25. ln(6x3y2 /(z-2)) = ln(6) + ln(x) + 3ln(x) + 2ln(y) - ln(z-2) 26. ln(3)-ln(x) = ln(3/x) 27. 7ln(x) + 4ln(y) + ln(z) - ln(w) 28. log(2/x)2 = 2[log(2) - log(x)] 29. log(10y)3 = 3[1 + log(y)] 30. log(y) - 3 31. ln(5) = ln(5) 32. log6(36) = 2 33. log(10) = 1 34. ln(y2) = 2ln(y) 35. ln(eaČ) = a2