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log . . . = 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.
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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.
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.
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
Properties of Logarithms. Expand each logarithm. (8 × 5) =. 2) (9 × 4) =. 3) (3 × 7) =. 3.
logarithmic equation in the original equation. Exclude from the solution set any proposed solution that produces the log of a negative number or the log of 0.
