Algebra 2
Quiz 7.4, 7.5A, 7.6A Review
Name
Per
1. Evaluate the logarithm without using a calculator. 2. Simplify the expression.
a) log9 81 =
a) 10logx =
b) log8 1 =
b) 7log7 𝑥 =
1
c) log 3 3 =
c) 5log5 2𝑥 =
d) log4 2 =
d) log 9 812𝑥 =
e) log27 3 =
e) log5125x =
f) log4 42/3 =
1 4𝑥
f) log 2 (16)
Find the inverse of the function.
3. y = log5 (x + 4)
4. y = ln 3x
5. y = 7x
6. y = 2 + 54x
Expand the expression.
7. log 9
9. log
𝑥𝑦 2
√𝑤
2x
5
11. ln √𝑥𝑦
8. log7 x2y
10. log 2
𝑥2
4
3
12. log 5 √𝑥
=
Match the expression with the logarithm that has the same value.
13. log 2 + log 8
2
A. log 5
14. log 4  log 10
B. log 27
15. 2 log 4  log 2
16. 3 log
C. log 4
1
3
D. log 8
Use ln 2  0.693, ln 3  1.099, and ln 7  1.946 to evaluate the logarithm.
7
17. ln 28
18. ln 4
20. ln 42
21. ln
19. ln 16
21
22. ln
4
Solve the exponential equation using only a four-function calculator.
23. 92x = 32x + 4
24
9
1 2𝑥−1
24. e5x + 2 = e3x+12
25. 8𝑥−1 = (2)
28. log 4 + 3 log x + log y
29. log 3 + log x  log 5
Condense the expression.
27. log3 4 + log3 2 + log3 2
30. 2 ln x  ln 3 + ln 6
31. 3 log x + log 4  log x  log 6
32. 3 ln(x + 1)  2 ln y + ln y + ln 2