Pre-Calculus Quiz 4-2: Logarithms PDF
Document Details
Uploaded by ConciliatoryJadeite7032
Hoboken High School
2017
Gina Wilson (All Things Algebra®, LLC)
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Summary
This is a precalculus quiz focused on logarithms. The quiz covers converting between exponential and logarithmic forms, evaluating logarithmic expressions, and condensing logarithmic expressions. A variety of problems are included.
Full Transcript
Name: ______________________________________________ Pre-Calculus Date: ___________________________Per: _________ Unit 4: Exponential & Logarithmic Functions Quiz 4-2: Logarithms Write each expression in exponential form. 1...
Name: ______________________________________________ Pre-Calculus Date: ___________________________Per: _________ Unit 4: Exponential & Logarithmic Functions Quiz 4-2: Logarithms Write each expression in exponential form. 1 1. 1. log2 = −5 2. log x = 3 32 2. ____________________ 3. ____________________ Write each expression in logarithmic form. 3. 16 = 4 4. e7 = x 4. ____________________ 5. 6. Evaluate. Use the change of base formula when necessary. 1 5. log3 243 6. log6 7. 6 8. 7. log64 4 8. log7 200 9. 10. 9. log12 3 10. ln 60 11. 12. 13. Condense into a single logarithm. DO NOT EVALUATE. 1 11. 5 log5 4 − log5 16 12. (ln 27 + 2 ln 8) 14. 3 1 2 13. 2 log3 (4k ) + 4 log3 k 14. log2 (9 x16 ) − log2 (8 x 3 ) 2 3 © Gina Wilson (All Things Algebra®, LLC), 2017 Expand each logarithm completely. 4 x 3 1 5 15. log 7 m5 16. log2 2 4 15. 16. ____________________________________ 17. ____________________________________ 9a16 18. ____________________________________ 17. ln 3 p 2 q 18. log b2 Graph each function and identify its key characteristics. 19. f ( x) log5 ( x 1) 1 Domain: Range: x-int: Asymptote: Increasing Interval: Decreasing Interval: End Behavior: 1 20. f ( x) ln( x 3) 2 Domain: Range: x-int: Asymptote: Increasing Interval: Decreasing Interval: End Behavior: © Gina Wilson (All Things Algebra®, LLC), 2017
