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Pre-Calculus/Trig 3 - Central Bucks School District - trig calculator mathway

Pre-Calculus/Trig 3 Name __________________________________
Logarithms Worksheet

Rewrite the exponential equation in logarithmic form.
1. [pic] _____________________ 6. [pic] ___________________________

2. [pic] _____________________ 7. [pic] _______________________
3. [pic] _____________________ 8. [pic] _____________________________

4. [pic] _____________________ 9. [pic] ___________________________
5. [pic] _____________________ 10. [pic] __________________________

Rewrite the logarithmic equation in exponential form.
1. [pic] _____________________ 6. [pic] __________________________

2. [pic] _____________________ 7. [pic] ________________________

3. [pic] _____________________ 8. [pic] __________________________

4. [pic] _____________________ 9. [pic] _______________________
5. [pic] _____________________ 10. [pic] __________________________

Use your calculator to evaluate each logarithm. Round to four decimal places.

1. [pic]__________________________ 6. [pic] ___________________________

2. [pic]__________________________ 7. [pic]__________________________

3. [pic]__________________________ 8. [pic] ___________________________

4. [pic]__________________________ 9. [pic] ___________________________

5. [pic]__________________________ 10. [pic] _________________________

Use the change of base formula to evaluate each logarithm. Round to four decimal places.

1. [pic]_________________________ 6. [pic]___________________________

2. [pic]_________________________ 7. [pic]__________________________

3. [pic]_________________________ 8. [pic]_________________________

4. [pic]_________________________ 9. [pic]_______________________
5. [pic]_________________________ 10. [pic]__________________________

Use the properties of logarithms to expand each of the following.

1. [pic]____________________________________________

2. [pic]____________________________________________

3. [pic]____________________________________________

4. [pic]____________________________________________

5. [pic]____________________________________________

6. [pic]____________________________________________
7. [pic]____________________________________________
8. [pic]____________________________________________

9. [pic]____________________________________________

10. [pic]____________________________________________

Use the properties of logarithms to write the following as a single logarithm.

1. [pic]__________________________________________________

2. [pic]_______________________________________________

3. [pic]_________________________________________________

4. [pic]_________________________________________________

5. [pic]___________________________________________

6. [pic]___________________________________________

7. [pic]_____________________________________________

8. [pic]____________________________________________

9. [pic]____________________________________________

10. [pic]___________________________________________

Given: [pic], [pic], and [pic], Evaluate each of the following.

1. [pic]__________________________ 6. [pic]____________________________
2. [pic]__________________________ 7. [pic]___________________________
3. [pic]__________________________ 8. [pic]____________________________
4. [pic]__________________________ 9. [pic]___________________________

5. [pic]__________________________ 10. [pic]___________________________

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