ALGEBRA 2
Chapter 6 Test
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Period ____________
1. The population of a city in 1990 was 1,215,112. The population was growing at a rate of about 5% per
decade. Write the function for this situation then predict the population of the city in year 2015.
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2. Buddy drank a “5 Hour Energy” drink that contained 100 mg of caffeine. The caffeine in his system
decreases at a rate of 22.5% per hour. Write a function for this situation and estimate the amount of
caffeine in his system after 5 hours.
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Write each of the equations in the “other” form.
3. 192 = 361
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1
4. 33753 = 15
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5. log12144 = 2
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1
6. log 360060 = 2
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Find the value of x in each equation.
7.
x = log15225
8. 8 = log2x
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Rewrite each expression using the log properties.
9. log12 (25*2)
2𝑥
10. log3(𝑦3 )
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Write each expression as a single log.
11. log35 + log36
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12. log95 + log9y – log94
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Solve each equation. Round to the nearest hundredth if needed.
13. log2(10x)=log2(3x+14)
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14. 2log3x=log34
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15. 5x = 16
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16. 722x= 35
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17. 5x + 50 = 98
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18. x = 3log14
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19. ln(x+6)=2 ln 3
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20. The intensity of a whisper is about 300 times as loud as the threshold of hearing, I0.
Find the relative intensity, R, of this whisper in decibels given
𝐼
R=10 log 𝐼
0
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21. Sally invests $2000 at an annual interest rate of 7.5%. How much would her account be worth after 10
years if it compounds continuously?
SHOW WORK!
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22. Robert invested $2000 in a different account and wants to know how long it will take for it to be at
$5000. He finds a bank that will give him 9.5% interest and compounds continuously.
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