Precalculus Honors Name________________________________

Chapter 5 Test Review Date_________________________________

Simplify

1. 63 2122 x 2.

2

3

2

3

1

6

1

4

3

n

nm 3.

zy

zy

3

2

3

1

3

4

24

18

Solve for x. Give exact values whenever possible.

4. 327log x 5. 75.0log 64 x

6. 221log x 7. 6log2 55x

8.

422

xx 9. 4105log 2

2 xx

10. 11 2793

xxx 11. 012lnln 42 xx

Precalculus Honors Name________________________________

Chapter 5 Test Review Date_________________________________

12. 4log212ln8ln 33 xe 13. 3log2log4log 222 xx

14. If 456.310log ,789.27log ,345.26log ,234.13log bbbb then determine:

a) 2log b b) 108logb

c) 87.30log b d)

3 2

1log b

15. You invest $1000 in an account that compounds annual interest continuously. If your investment

doubles every 10 years then:

a) Determine the function that models your investment.

b) Determine the amount of money in your account 12 years after your investment.

16. The half-life of a certain radioactive substance is 21 days, and there are 4.62 grams present initially.

a) Write an equation for the amount remaining after t days.

b) When will there be less than one gram of the substance remaining?

c) What is the daily rate of decay?