This practice quiz will be a little different. I will have 2 problems for each type of question I will ask on the Tools quiz this Thursday. Work out the first one to the best of your ability. It will be similar to the ones you did for the Practice Part 1 for Week 8. Look up the answer under the Answer tab for AnswersWeek8PracTestOdds. If you got the answer correct and you feel confident you can do this type of problem, skip the second (or even numbered) problem and continue with the test. If you missed the problem or are shakey, study the solution worked out on the AnswersWeek8PracTestOdds page. Try the even problem. Look up the answer on the AnswersWeek8PracTestEvens page. If you still are having trouble, look again at the Odd problem worked out and see if you can refigure. Still lost? IM or email me, check out your group members or Quasr, but come ready to ace the question on Thursday.
1. Draw a quick sketch of the graph of log(x)
2. Draw a quick sketch of log(10x)
3. 213(base 4 ) = _________ base 10
4. 2112(base 3 ) = ________ base 10
5. 104 (base 10 ) = __________ base 2
6. 85 (base 10 ) = _________ base 5
7. log (base 7 ) 88 = __________ in exponential format
8. log (base 3 ) 94 = ___________ in exponential format
9. 3^2.5 = 15.588 is _________ in log format
10. e^5 = 148.882 is ___________ in log format
11. Without using a calculator, estimate log (base 6 ) 89 and tell your process.
12. estimate log(base 9 ) 103 and tell your process
13. Rewrite using the log product rule: log(21)
14. Rewrite using the log product rule: log(3x^2)
15. Rewrite using the log quotient rule: log(10/3)
16. Rewrite using log quotient rule: log(x/3)
17. Use both log quotient and product rule: log (3x/2y)
18. rewrite: log(5xy/x)
19. Rewrite using a single log function: (log(x) + log(3) ) – log(y)
20 Rewrite using a single log function: log(z) – (log(5) + log(x) )
21. Rewrite using the log power rule: log(x^5) = _______
22 log(x^y) = ____________
23. Solve using the log power rule: 21^x = 100
24. Solve: 12^y = 55
25: Have an answer to the following from your group:
a. Why do we need logarithms?
b. Explain how logs and exponents are related
c. How would you find log(base8 ) 59 using a calculator (no log 8 key)
d. Why is log(xy) equal to log(x) + log(y)
e. Why is log(x/y) equal to log(x) – log(y)
f. Why is log x^t equal to t(logx)