show work when answering

And thats it its a 20 problems only

If there is any question please as

NAME _______________

MAT 150 – Homework 13

Sections 4.5 and 4.6

Directions: Show all work on lined notebook paper according to the homework format. Staple your worked

out problems to this sheet. Write your final answer in the space provided using PENCIL.

1.

Write 7 log3 x + 4log3 y − 2log 3 z as a single logarithm.

1. _______________

2.

Evaluate: log 6 218

2. _______________

3.

x5

Write log8 3 9 as a sum, difference, or product of logarithms.

y z

3. _______________

4.

Solve: −2log 4 x = log 4 9

4. _______________

5.

Write

6.

Solve: 74x – 5 = 300

6. _______________

7.

x 5 z3

Write ln

as a sum, difference, or product of logarithms.

(y + 2)6

7. _______________

8.

Solve: log x + log(x + 15) = 2

8. _______________

9.

Solve: e7x + 2 = 23

9. _______________

3

1

log 2 x − 6 log 2 y + log 2 z as a single logarithm.

4

2

5. _______________

10. Evaluate: 2log 5

10. _______________

11. Solve: 2log 2 (x + 4) − log3 9 = 2

11. _______________

12. Solve: 6 53−2x = 132

12. _______________

13. Write −3log x − 5log y as a single logarithm.

13. _______________

14. Solve: 22x + 2x – 12 = 0

14. _______________

1− x

4

15. Solve:

3

= 5x

7

16. Write log 7 6 2 as a sum, difference, or product of logarithms.

x y

15. _______________

16. _______________

17. Solve: ln(x + 1) – lnx = 2

17. _______________

18. Solve: 32x + 3x – 2 = 0

18. _______________

19. Solve: 52x – 3 = 7x + 4

19. _______________

20. Solve: 32x + 3x + 1 – 4 = 0

20. _______________