[PDF] algebra-2-expanding-and-condensing-logarithms.pdf





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algebra-2-expanding-and-condensing-logarithms.pdf

E f OAwlTl3 0r3i1gHhntwsG SrPeCsMeHruvQekds.G. Expanding and Condensing Logarithms. Condense each expression to a single logarithm.



Infinite Algebra 2 - Expanding Logarithms

20 2 0 Kuta Software LLC. All rights r. Expanding Logarithms. Expand each logarithm. 1) log 7. 6. 3) log 6. 5) log 7. 7) log 6. 9) log 2.



Infinite Algebra 2 - 4.4 Expanding and Condensing Logarithms

2018 Kuta Software LLC. A 11 rights reserved. 4.4 Expanding and Condensing Logarithms. Expand each logarithm. C. 1) log. 3) log (x4µ³).



Properties of logarithms 1 Fundamental rules: expanding logarithms

Power rule: ploga M = loga Mp. Be careful: Notice that we can condense only logarithms with the same base . 1. Example: Condense the following expression as 



Expanding and Condensing Logarithms.ks-ia2

Condense each expression to a single logarithm. 1) 15log. 5 a + 3log. 5 b. 2 



Logs as inverses Properties of Logs

https://www.cabarrus.k12.nc.us/cms/lib/NC01910456/Centricity/Domain/4633/Chpt.%202.4%20Expanding%20and%20Condensing%20Logs.pdf



ln ln ln ln ln ln ln ln mn m n m m n n m n m = + = ? = log 1 2 x x +

The following properties serve to expand or condense a logarithm or logarithmic expression so it can be worked with. Properties of logarithms. Example log log.



Logarithm Formulas Expansion/Contraction Properties of

Expansion/Contraction Properties of Logarithms. These rules are used to write a single complicated logarithm as several simpler logarithms (called “ex- panding”) 



Untitled

I can use properties of logarithms to expand logarithms. Example 2 Expand a logarithmic expression ... Example 3 Condense a logarithmic expression.



6.2 Properties of Logarithms

Expand the following using the properties of logarithms and simplify. Assume the utility of expanding logarithms becomes apparent in Calculus.

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Algebra 2Name___________________________________

Period____Date________________

©s l2H0V1t4o aKZuxt7aA pSlomfOtDwOayryet kLdLCCy.E f OAwlTl3 0r3i1gHhntwsG SrPeCsMeHruvQekds.GExpanding and Condensing Logarithms

Condense each expression to a single logarithm.

1)

3log92 -

2log952)

log6 x + log6 y + 6log6 z 3) 2log5 x +

12log5

y4) log312 + log37 +

4log35

5) log25 + log26 2 + log211 26)

3log23 -

12log27

Expand each logarithm.

7) log

7 x4 y28) log7 23
52

9) log3(

z 3 x × y)10) log5 a3 b3

11) log6

u v3)212) log4

12 ×

72)4

©Q E2I0r1z4c KK7uft4aN gSwoQfqtDwLaSrIe0 3LkLTC4.G L UA8ljln rrbiQg3hKtWs7 jrpeDs7elrdvwePdg.t g dMNaadjeW NwPiGtUh1 GIdnqfdien5intZeW iAzllgieybyroad w2q.rWorksheet by Kuta Software LLC

Algebra 2Name___________________________________

Period____Date________________

©2 y250T1p4Y dKyurtGaQ WSzojfutDw4aqr3eH DLaL3Cz.I x kAzl4lB orHiJgQhptAsI ar4eFsbeirYvIeyd1.nExpanding and Condensing Logarithms

Condense each expression to a single logarithm.

1)

3log92 -

2log95

log9 23
52
2) log6 x + log6 y + 6log6 z log6( yx z6) 3) 2log5 x +

12log5

y log5( y12 x2) 4) log312 + log37 +

4log35

log3(

84 ×

54)
5) log25 + log26 2 + log211 2 log2( 5 66) 6)

3log23 -

12log27

log2 33
712

Expand each logarithm.

7) log

7 x4 y2 4log7 x - 2log7 y

8) log7

23
52

3log72 -

2log75

9) log3(

z 3 x × y) log3 z + log3 x 3 + log3 y 3

10) log5

a3 b3 3log5 a - 3log5 b

11) log6

u v3)2 2log6 u + 6log6 v

12) log4

12 ×

72)4

4log412 +

8log47

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