• date post

18-Aug-2020
• Category

## Documents

• view

0

0

Embed Size (px)

### 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

• ©m D2C0G2P0] KKeuTtlaR iSbo\fVtJwqaPrye[ ]LXLCCf.C k EAPlIlm drtiAgWhpt`sp Yrreos^eQrLv]eHdY.U S fMXatddez LwviDtQhw `IUn\fHiUn\iQt\ek pAKl^gfefbsrfaM M2I.

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!

• ©^ F2m0E2u0r lKfultyaS XSaoEfltLwRagrUea oLoLUCb.r j IAMl_lh IrMi_gThDtPsY UrReXs`eyr^vieMdC.D y mMxaAdteU Ewuiqt]hF mIynwfDiXnFiftKe_ FAelogdeGbzrGaa K2m.

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