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. = logbX – logbY. logb(XY) = logbX + logbY Power Rule for Logarithms. Quotient Rule for Logarithms. Product Rule for Logarithms. The following examples show how to expand logarithmic expressions using each of the rules above. Example 1. Expand log2493 . log2493 = 3 • log249 . The answer is 3 • log249. Use the Power Rule for Logarithms.
Free 29 question Worksheet (pdf) with answer key on the properties of logarithms (product,quotient and power rules)
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
Enjoy these free sheets. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. Plus each one comes with an answer key. Logarithmic Equations Worksheet. Properties of Logarithms Worksheet (mixed worksheet on all 3 properties below)
Like exponents, logarithms have a number of helpful properties including the product property, quotient property, power rule, change of base rule, and reciprocal rule. The complicated problems involving logarithmic functions are simplified using the properties of logarithms .
A logarithm has various important properties that prove multiplication and division of logarithms can also be written in the form of logarithm of addition and subtraction. We will learn more about it in the benefits of properties of logarithm worksheets.
Properties of Logarithms. Condense each expression to a single logarithm. 1) 4log 10 - 6log 3. 9 9. 3) 4log 7 + 24log. 9 10. 9. 5) log x + log y + 4log z. 5 5 5.
