MAT 150 MCCCD Product of Logarithms Exam

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. _______________