Part 1 – No calculators Write in exponential form:

Part 1 – No calculators
Algebra 2 - Chapter 8 Test
Write in exponential form:
1.
log3
1
= –4
81
Review
Write in logarithmic form:
________________
2.
45 = 1024 ________________
Evaluate each logarithm.
1
3.
log 4 64 ______
5.
 4x 
Expand: log3  2  ______________________________
y 
6.
Condense: 3log a – 4log b + log c _________________________
7.
Solve: log3 (2x  1)  4
4.
log 2 32 ______
Extra Credit: Evaluate: log3 9  log3 27 .
Part 2 –calculators
Algebra 2 - Chapter 8 Test Review
Solve: You must clearly show each step. Please circle (or box) your answer.
8.
123x = 38
10. log x – 4log 2 = 2
9.
log 2x = 3
11. e2x = 18
12. ln (5x – 3) = 3
13. $10,000 is deposited into an account that pays 4.2% interest. Find the amount in the
account after 20 years if the interest is compounded monthly.
Extra Credit: A population of 200 Betta fish is increasing at an annual rate of 14%.
A. What would be the population of fish after 5 years? ______________
B. How many years will it take for the population to exceed 810? _______
Answers:
1.
2.
3.
4.
5.
1
3–4 = 81
log4 1024 = 5
3
–5
log3 4 + log3 x – 2log3y
𝑎3 𝑐
6. 𝑙𝑜𝑔 𝑏4
7. 40
Extra Credit: –1
8. 4880
9. 500
10. 1600
11. 1.4452
12. 4.6171
13. $23,129.72
Extra Credit
A. 385
B. 10.67