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Use the power rule for logarithms. Expand logarithmic expressions. Condense logarithmic expressions. Use the change-of-base formula for logarithms. Figure 1 The pH of hydrochloric acid is tested with litmus paper. (credit: David Berardan) In chemistry, pH is used as a measure of the acidity or alkalinity of a substance.

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Expanding and Condensing Logarithms Expand each logarithm. Justify each step by stating logarithm property used. Level 2: 1) log 6 u v log 6 u − log 6 v 2) log 5 3 a log 5 a 3 3) log 7 54 4log 7 5 4) log 4 u6 6log 4 u 5) log (a ⋅ b) log a + log b 6) log 5 6 7 log 5 6 − log 5 7 Level 3: 7) log 4 x3 3log 4 x 2 8) log 6 (3 ⋅ 11)6 6log 6 3.

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Expanding And Condensing Logarithms - Displaying top 8 worksheets found for this concept. Some of the worksheets for this concept are Name date score direction simplify by expanding the, Expanding and condensing, Condense, Name date score, Properties of logarithms, Work 2 7 logarithms and exponentials, Properties of logarithms, Infinite algebra 2.

Expand Logarithms Worksheet

-2- Worksheet by Kuta Software LLC Condense each expression to a single logarithm. 13) log log 14) log log 15) log log 16) log log 17) log x 18) log a 19) log a log b 20) log x 21) log x log y 22) log u log v

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Condensing Logarithms Worksheet expanding-and-condensing-logarithms-worksheet 2 Downloaded from legacy.ldi.upenn.edu on 2020-12-13 by guest sciences, Geostatistics Explained can be used for undergraduate courses or for self-study and reference. Worked examples at the end of each chapter reinforce a clear understanding of the

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The product rule: log b ( M N) = log b ( M) + log b ( N) This property says that the logarithm of a product is the sum of the logs of its factors. [Show me a numerical example of this property please.] We can use the product rule to rewrite logarithmic expressions.

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1 11) 3log z + × log x 4 4 3 13) 6log 5 2 + 24log 7 5 15) 16log a - 4log b 4 4 Date________________ Period____ 2) log (z2 x) 5 4) log (ab3)2 6 6) log (6 × 72)3 4 8) log 9 (xy5)6 1 10) 6log z + × log 9 2 9 x 1 1

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Expanding and Condensing Logarithms Condense each expression to a single logarithm. 1) 3log 9 2 − 2log 9 5 2) log 6 x + log 6 y + 6log 6 z 3) 2log 5 x + 12log 5 y 4) log 3 12 + log 3 7 + 4log 3 5. .G L UA8ljl n rbiQg3hKtWs7 jrpe Ds7elr dvwePdg. t g dM Naadje W NwPiGtUh1 GIdnqfdi en 5intZe W iA zllgie yb yroad w2q.r Worksheet by Kuta.

Condense And Expand Logarithms Worksheets

Logarithms: Expand, Condense, Properties, Equations Expand each logarithm. 1) ln( x6y3)2) log 8 (x⋅ y⋅ z3) 3) log 9( 33 7) 4 4) log 7( x3 y) 3 5) log 8 (a6b5)6) log 4 (63⋅ 113) 7) log 3( u3 v) 28) ln 3 u⋅ v⋅ w 9) log 6 (3 ⋅ 2 ⋅ 56)10) log 4 (2 ⋅ 11 ⋅ 74) 11) log 6 (c5 3a) 12) ln(

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Expanding and Condensing Logarithms f T2P0a1J5v oKsuEtEaV TSKoCfWtewGaqrQeJ kLGLeCF.v L TA4lFls 4rjifgkhLtRsE ArleTsseKrxvJeodN.x Condense each expression to a single logarithm. 1) 15log a + 3log b 5 5 3) 2log a + 10log b 5 5 5) 5log x + 20log y 7) 5log x + 15log 8 8 y 9) 2log 6 - 8 5log 5 8 Expand each logarithm. 2 3 u 11) log 9 ( v ) 2

Condensing And Expanding Logarithms Worksheet

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logarithm properties worksheet

Expand each logarithm. 1) log (6 ⋅ 11) log 6 + log 11 2) log (5 ⋅ 3) log 5 + log 3 3) log (6 11) 5 5log 6 − 5log 11 4) log (3 ⋅ 2. 5Anl Kl0 TrUihg dhct usG Ur ne msAeXrKvheGdX.J n GM2a 7d Ke2 pwNiZt rh s TIJn1fki 8n 0idt te 2 Axlmgre 7bArFa 8 o2O.h Worksheet by Kuta Software LLC Condense each expression to a single logarithm. 13) log.

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Be the first to ask TheMathResource a question about this product. From TheMathResource, this worksheet include both condensing and expanding logarithmic expressions. It can act as a review, practice, or assessment. An answer key is included.

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Algebra 2 Unit 8: Logarithms 900 possible mastery points Mastered Proficient Familiar Attempted Not started Quiz Unit test About this unit Logarithms are the inverses of exponents. They allow us to solve challenging exponential equations, and they are a good excuse to dive deeper into the relationship between a function and its inverse.

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Expand each logarithm. 1) log (34 × 25) 8 3) ln (113 × 12)6 ( x6 )4 5) log 2 y 7) log (a4b4) 5 9) log (x4y2) 6 Condense each expression to a single logarithm. 11) 20log 8 - 4log 11 9 9 13) 5ln 7 + 3ln 8 log 6 8 15) log 7 + 8 3 log 5 8 + 3 17) 2log 6 - 4log 7 2 2 19) 5log 10 + 5log 11 7 7 2) log 5 (7 10 × 3) 4) log (x5 × y)5 2

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These printable expanding and condensing logarithms worksheets are answered with a lot of get-up-and-go. To expand a logarithm or to condense a log expression into one logarithm, use the appropriate log rules. Grab the Worksheet Common Logarithms Allow our common logarithms pdfs to take high school learners' confidence to newer heights!