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 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.
Condense Logarithms Worksheet Printable Word Searches
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. 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 Show Solution Q & A Can we expand [latex]\mathrm {ln}\left ( {x}^ {2}+ {y}^ {2}\right) [/latex]? No. There is no way to expand the logarithm of a sum or difference inside the argument of the logarithm. Now we will provide some examples that will require careful attention. Example: Expanding Complex Logarithmic Expressions 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.
Expanding And Condensing Logarithms Worksheet Answers Printable Word
-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 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( 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. Janet Knox UPDATED: Now contains two matching activities (two levels--easier and harder). Creative matching worksheets provides practice for expanding and condensing logarithms. Hang the finished products in the classroom or hallway. Answer keys included.
Expanding And Condensing Logarithms Worksheet Printable Word Searches
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 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!
Browse expanding and condensing logarithms worksheet resources on Teachers Pay Teachers, a marketplace trusted by millions of teachers for original educational resources. 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
properties of logs worksheet
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. 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.
