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Name Date Class LESSON 7-4 Practice A Properties of Logarithms Express as a single logarithm. Simplify, if possible. The first one is done for you. 1. log 3 9 log 3 27 2. log 2 16 log 2 4 3. log 5 125 log 5 25 log 3 9 27 log 3 243 log 2 16 4 log 2 64 log 5 125 25 log 5 3125 3 x 243, so x 4 2 x 64 , so x 6 5 x 3125 , so x 5 4. log 10 250 log 10 40 5. log 6 3 log 6 2 6. log 8 16 log 8 4 log 10 10,000 4 log 6 6 1 log 8 64 2 Express as a single logarithm. Simplify, if possible. The first one is done for you. 7. log 5 250 log 5 10 8. log 3 21 log 3 7 9. log 2 160 log 2 5 log 5 250 ____ 10 log 5 25 2 log 3 3 1 log 2 32 5 10. log 4 128 log 4 8 11. log 6 72 log 6 2 12. log 5 1000 log 5 8 log 4 16 2 log 6 36 2 log 5 125 3 Simplify, if possible. The first one is done for you. 13. log 6 36 2 14. log 5 5 4 15. log 2 8 3 2 log 6 36 4 log 5 5 3 log 2 8 2 2 = 4 4 9 Evaluate. Use log b x log 10 x ______ log 10 b . The first one is done for you. 16. log 5 13 17. log 3 7 18. log 8 21 1.59 1.77 1.46 Copyright © by Holt, Rinehart and Winston. Holt Algebra 2 All rights reserved.

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  • Name Date Class

    LESSON

    7-4Practice AProperties of Logarithms

    Express as a single logarithm. Simplify, if possible.The first one is done for you. 1. lo g 3 9 lo g 3 27 2. lo g 2 16 lo g 2 4 3. lo g 5 125 lo g 5 25

    lo g 3 9 27 lo g 3 243 lo g 2 16 4 l og 2 64 lo g 5 125 25 lo g 5 3125

    3 x 243, so x 4 2 x 64 , so x 6 5 x 3125 , so x 5

    4. l og 10 250 lo g 10 40 5. l og 6 3 l og 6 2 6. l og 8 16 l og 8 4

    lo g 10 10,000 4 lo g 6 6 1 lo g 8 64 2

    Express as a single logarithm. Simplify, if possible. The first one is done for you.

    7. lo g 5 250 lo g 5 10 8. lo g 3 21 l og 3 7 9. lo g 2 160 lo g 2 5

    log 5 250 ____ 10 log 5 25 2

    lo g 3 3 1 lo g 2 32 5

    10. lo g 4 128 lo g 4 8 11. lo g 6 72 lo g 6 2 12. lo g 5 1000 lo g 5 8

    lo g 4 16 2 lo g 6 36 2 lo g 5 125 3

    Simplify, if possible. The first one is done for you. 13. lo g 6 3 6 2 14. lo g 5 5 4 15. lo g 2 8 3

    2 lo g 6 36 4 lo g 5 5 3 lo g 2 8

    2 2 = 4 4 9

    Evaluate. Use log b x log 10 x

    ______

    log 10 b . The first one is done for you.

    16. lo g 5 13 17. lo g 3 7 18. lo g 8 21

    1.59

    1.77

    1.46

    Copyright by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

    A2_IDEA_PA0704 1A2_IDEA_PA0704 1 4/9/06 4:00:52 PM4/9/06 4:00:52 PMProcess BlackProcess Black

  • Name Date Class

    LESSON

    7-4Practice AProperties of Logarithms

    Express as a single logarithm. Simplify, if possible.The first one is done for you. 1. lo g 3 9 lo g 3 27 2. lo g 2 16 lo g 2 4 3. lo g 5 125 lo g 5 25

    lo g 3 9 27 lo g 3 243 lo g 2 16 4 l og 2 64 lo g 5 125 25 lo g 5 3125

    3 x 243, so x 4 2 x 64 , so x 6 5 x 3125 , so x 5

    4. l og 10 250 lo g 10 40 5. l og 6 3 l og 6 2 6. l og 8 16 l og 8 4

    lo g 10 10,000 4 lo g 6 6 1 lo g 8 64 2

    Express as a single logarithm. Simplify, if possible. The first one is done for you.

    7. lo g 5 250 lo g 5 10 8. lo g 3 21 l og 3 7 9. lo g 2 160 lo g 2 5

    log 5 250 ____ 10 log 5 25 2

    lo g 3 3 1 lo g 2 32 5

    10. lo g 4 128 lo g 4 8 11. lo g 6 72 lo g 6 2 12. lo g 5 1000 lo g 5 8

    lo g 4 16 2 lo g 6 36 2 lo g 5 125 3

    Simplify, if possible. The first one is done for you. 13. lo g 6 3 6 2 14. lo g 5 5 4 15. lo g 2 8 3

    2 lo g 6 36 4 lo g 5 5 3 lo g 2 8

    2 2 = 4 4 9

    Evaluate. Use log b x log 10 x

    ______

    log 10 b . The first one is done for you.

    16. lo g 5 13 17. lo g 3 7 18. lo g 8 21

    1.59

    1.77

    1.46

    Copyright by Holt, Rinehart and Winston. Holt Algebra 2All rights reserved.

    A2_IDEA_PA0704 1A2_IDEA_PA0704 1 4/9/06 4:00:36 PM4/9/06 4:00:36 PM