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  1. Expand the following logarithms using one or more of the logarithm rules. Sometimes you need to write an expression as a single logarithm. Use the rules to work backwards. log3x2 + log3y . Use the Product Rule for Logarithms. Use the Power Rule for Logarithms. Simplify. Use the Quotient Rule for Logarithms. Simplify. Write as a single logarithm.

  2. Find the value of y. 2. Evaluate. 3. Write the following expressions in terms of logs of x, y and z. 4. Write the following equalities in exponential form. 5. Write the following equalities in logarithmic form. 6. True or False? 7. Solve the following logarithmic equations. 8. Prove the following statements. 9.

  3. Laws of Logarithms Worksheet If and , determine the value of: 1. 2. 3. 4. 5. If and , determine an expression for the following in terms

  4. There are a number of rules known as the laws of logarithms. These allow expressions involving logarithms to be rewritten in a variety of different ways. The laws apply to logarithms of any base but the same base must be used throughout a calculation. This law tells us how to add two logarithms together.

  5. Free 29 question Worksheet(pdf) with answer key on the properties of logarithms (product,quotient and power rules)

  6. Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com

  7. Worksheet by Kuta Software LLC Algebra 2 Properties of Logarithms Name_____ ©G o2P0v1b7O \KYuptLaE xSEoDfztswqaGrLeT \LNLBCy.g W TAdlil` ZrBiXgqhHtYs\ GrCehsMe[rAvgeldx. Condense each expression to a single logarithm. 1) 4log 9 10 - 6log 9 3 log 9 104 36 2) 12log 7 10 - 2log 7 11 log 7 1012 112 3) 4log 9 7 + 24log 9 10 log 9 (1024 × 74) 4) 5log 2

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