April-May 28-1 Logarithms (Part 2) A2 4.28 ¢â‚¬â€œ 5.1 Notes...

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Transcript of April-May 28-1 Logarithms (Part 2) A2 4.28 ¢â‚¬â€œ 5.1 Notes...

  • A2 4.28 – 5.1 Notes

    Section 6-5: Properties of Logarithms (Part 2)

    April-May

    28-1 Target 6B We are learning the properties of logarithms so that we can solve logarithmic equations. The properties from last week will help us to evaluate logs that are not base 10 Product Property log log logb b bm n mn+ Quotient Property

    log log logb b b mm n n

    Power Property

    log lognb bm n m To evaluate, we will use the values given to us for each set of problems. In addition to the ones that are given to use, we can always use

    𝒍𝒐𝒈𝒃𝟏 𝟎 This will work no matter what number you are given for the base

    Use 𝐥𝐨𝐠𝟐 𝟑 𝟏. 𝟓𝟖𝟓 and 𝐥𝐨𝐠𝟐 𝟕 𝟐. 𝟖𝟎𝟕 to evaluate each logarithm. 1. log2 21 2. log2 3. log2 49 Use 𝒍𝒐𝒈𝟔𝟓 𝟎. 𝟖𝟗𝟖 and 𝒍𝒐𝒈𝟔𝟖 𝟏. 𝟏𝟔𝟏 to evaluate each logarithm. 4) 𝑙𝑜𝑔 5) 𝑙𝑜𝑔 40 6) 𝑙𝑜𝑔 1 7) 𝑙𝑜𝑔 125 8) 𝑙𝑜𝑔 64 9) 𝑙𝑜𝑔 1

    2

    Summary: Today I learned This connects to what I know about What I learned today can help me later when

  • A2 4.28 – 5.1 Practice (Properties of logarithms Part 2)

    Use 4log 12 1.1, 4log 7 0.8 and 4log 8 0.9 to evaluate each logarithm.

    1. 4 7log 8

    2. 4log 64

    3. 4 1log

    12

    4. 4log 56

    5. 4log 96

    6. 4 2log 3

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    Worksheet by Kuta Software LLC

    Algebra 2

    Week 3 Assignment

    Name___________________________________

    Teacher________________ Period____

    -1-

    Use the properties of logarithms and the values below to find the logarithm indicated. Do not use a calculator to evaluate the logs.

    1) log 3 8 ≈ 1.9 log 3 10 ≈ 2.1 log 3 11 ≈ 2.2 Find log 3 110

    2) log 8 6 ≈ 0.9 log 8 11 ≈ 1.2 log 8 10 ≈ 1.1 Find log 8 121

    3) log 6 4 ≈ 0.8 log 6 7 ≈ 1.1 log 6 10 ≈ 1.3 Find log 6 28

    4) log 9 4 ≈ 0.6 log 9 11 ≈ 1.1 log 9 6 ≈ 0.8

    Find log 9 11

    4

    5) log 7 9 ≈ 1.1 log 7 12 ≈ 1.3 log 7 10 ≈ 1.2

    Find log 7 1

    81

    6) log 9 6 ≈ 0.8 log 9 4 ≈ 0.6 log 9 5 ≈ 0.7

    Find log 9 1

    5

    7) log 9 5 ≈ 0.7 log 9 8 ≈ 0.9 log 9 6 ≈ 0.8 Find log 9 48

    8) log 4 9 ≈ 1.6 log 4 6 ≈ 1.3 log 4 11 ≈ 1.7 Find log 4 121

    Katiuscka Burke

    Katiuscka Burke A2 4.28 - 5.1 Assignment (Week 4)

    Katiuscka Burke IF you copy this onto a separate piece of paper, make sure to include your name, teacher’s name, and class period!

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    Worksheet by Kuta Software LLC-2-

    9) log 3 10 ≈ 2.1 log 3 4 ≈ 1.3 log 3 7 ≈ 1.8

    Find log 3 1

    16

    10) log 12 ≈ 1.1 log 8 ≈ 0.9 log 7 ≈ 0.8 Find log 64

    11) log 7 ≈ 0.8 log 8 ≈ 0.9 log 12 ≈ 1.1

    Find log 7

    12

    12) log 8 ≈ 0.9 log 7 ≈ 0.8 log 12 ≈ 1.1 Find log 144

    Rewrite each logarithm using the "Power Property of Logarithms"

    13) log 11 x 5 14) log 3 v

    16

    15) log 6 13 x 16) log 2 a

    9

    17) log x2 18) log 8 6 x

    19) log 7 3 x 20) ln x4

    21) log 4 57 x

  • Solution Bank to Week 4 Assignment

    -0.3 𝑥 log 13 3.4 2.2 4 ln 𝑥 2 log 𝑥 -2.6 9 log 𝑎 2.4

    𝑥 log 6 0.5 5 log11 𝑥

    -0.7 4.3 1.9 1.8 1.7 𝑥 log 3

    16 log 𝑣 𝑥 log 57 -2.2

    Katiuscka Burke Algebra 2 4.28 - 5.1