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  1. 4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems.

  2. This is a 5 part worksheet: Part I Model Problems (with answers explained) Part II Practice Expanding Logarithms; Part III Rewrite Expression as 1 Term; Part IV Extension Problems; Part V Answer Key

  3. Extension Problems V. Answer Key. (yes, it can graph logarithms!) The following examples show how to expand logarithmic expressions using each of the rules above. Use the Power Rule for Logarithms. Since 7a is the product of 7 and a, you can write 7a as 7 • a. Use the Product Rule for Logarithms.

  4. 85 7) 4 2) ln (ca × b) 3) ln (uv6) 5 4) ln (x × y × z6) Condense each expression to a single logarithm. 5) 25ln5 - 5ln116) 5lnx + 6lny 7) ln5 2 + ln6 2 + ln7 2 8) 20lna - 4lnb Use a calculator to approximate each to the nearest thousandth. 9) ln39 10) ln2.2 11) ln21 12) ln3.4 Solve each equation.Round your final answer to the nearest ...

  5. Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010

  6. Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. 10. Solve the following equations. 11. Draw the graph of each of the following logarithmic functions, and analyze each of them completely. 12. Find the inverse of each of the following functions.

  7. log 3 u v5 23) 20 log 6 u + 5log 6 v log 6 (v5u20) 24) 4log 3 u − 20 log 3 v log 3 u4 v20 Critical thinking questions: 25) 2(log 2x − log y) − (log 3 + 2log 5) log 4x2 75 y2 26) log x ⋅ log 2 Can't be simplified.-2-Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

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