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Class
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Snow Day #6 Assignment
Solve each equation.
1. 8  3x  1
3. log x  log3  2
2. log 3 81  x
4. You put $2000 into an account earning 4% interest compounded continuously.
Find the amount in the account at the end of 8 years.
Evaluate each logarithm.
5. log 5 125
1
4
6. log 1
2
8. log 9
1
3
7. log 3 729
9. log 1 16
10. log8
4
1
256
Write each equation in logarithmic form.
3
11. 7  343
3
27
2
12.   
8
3
13. 24  0.0625
Write each logarithmic expression as a single logarithm.
14. log 2 − 3 log 1
15. log a − log ab
16.
1
(log 4 x  log 4 z )
3
Use the Change of Base Formula to rewrite each expression using common
logarithms.
17. log4 12
18. log2 5
19. log8 14
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20. A parent increases a child’s allowance by 15% each year. If the allowance is $3 now, when will
it reach $15?
21. A scientist notes that the number of bacteria in a colony is 50. Two hours later, she notes
that the number of bacteria has increased to 80. If this rate of growth continues, how much
more time will it take for the number of bacteria to reach 100?
22. Writing Describe the effect of different values of a on the function y  ab x .
23. Reasoning Identify each function as linear, quadratic, or exponential. Explain
your reasoning.
a. y  4(2) x
b. y  6( x)2  1
24. Writing Explain the difference between exponential growth and exponential decay.
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