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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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