7 4 Study Guide And Intervention Solving Logarithmic Equations And Inequalities 7 4 Solving Logarithmic Equations and Inequalities Patrick Dugas 265 subscribers 8 1 5K views 5 years ago Explains the process for solving equations involving logarithms Since
PERIOD 7 4 Study Guide and Intervention Solving Logarithmic Equations and Inequalities Web7 4 Practice Solving Logarithmic Equations and Inequalities Solve each equation 1 x 5 log4 WebSolving Logarithmic Equations and Inequalities 7 4 Solve the equation log 2 x 17 log 2 3x 23 Exercises 1 FINANCIAL LITERACY Compare the balance after 10 years of a 5000 investment earning 8 5 interest compounded continuousl to the same investment compounded quarterly 0 0K 10 2 ENERGY In 2007 it is estimated that the United States used about 101 000 quadrillion thermal units
7 4 Study Guide And Intervention Solving Logarithmic Equations And Inequalities
7 4 Study Guide And Intervention Solving Logarithmic Equations And Inequalities
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Lesson with one Study Guide and Intervention and Practice worksheet for every lesson in Glencoe Math Connects Course 2 Always keep your workbook handy Along with your textbook daily homework and class notes the completed Study Guide and Intervention and Practice Workbookcan help you review for quizzes and tests
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7 4 Study Guide And Intervention Solving Logarithmic Equations And Inequalities
7 4 Solving Logarithmic Equations And Inequalities YouTube
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NAME DATE PERIOD 7 4 Study Guide and Intervention Copyright Glencoe McGraw Hill a division of The McGraw Hill Companies Inc NAME DATE PERIOD PDF Pass Chapter 726 Glencoe Algebra 2 Exercises Solve each equation 1 log 2 32 3x2 log 3 2c 2 3 log 2x 16 2 4 log 25 x 2 1 2 5 log 4 5x 1 2 6 log 8 x 5 2 3
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Study Guide and Intervention Solving Logarithmic Equations and Inequalities 7 4 Solve the equation log 2 x 17 log 2 3x 23 Since the bases of the logarithms are equal x 17 must equal 3x 23 x 17 3x 23 6 2x x 3 Property of Equality for Logarithmic Functions If b is a positive number other than 1 then log b x
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8 4 Study Guide and Intervention Solving Logarithmic Equations and Inequalities Solving Logarithmic Equations Property of Equality for Logarithmic Functions If b is a positive number other than 1 then log x log y if and only if x y b b Example 1 Solve log 2x 3 2 log 2x 3 2 Original equation 23 2x Definition of logarithm
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Solving Logarithmic Equations and Inequalities 7 4 Solve each equation 1 3x log 6 216 2 x 5x 15 5 log 81 x 20 log 81 6x 6 log 9 3x2 log 9 2x 1 7 log 4 x 1 log 4 12 8 log 7 5 x log 7 5 9 log x 5x 2 Solve each inequality 10 log 5 3x 1 11 log 6 x log 6 4 x 12 log 10 x 3 2
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7 4 Study Guide and Intervention Solving Logarithmic Equations and Inequalities Solving Logarithmic Equations Property of Equality for Logarithmic Functions Ifbis a positive number other than 1 then log x log yif and only if x y Example 1 Solve 2x 3 log 2x 3 Original equation 2x 2
Example 1 Solve 2x 3 log 2 2x 3 Original equation 2x 2 3 Definition of logarithm 2x 8 Simplify x 4 Simplify The solution isx 4 Example 2 Solve the equation x 17 3x 23 7 5 Study Guide and Intervention Properties of Logarithms Properties of Logarithms Properties of exponents can be used to develop the following properties of logarithms Example Use log 28 3 3 0331 and log 4 1 2619 to approximate 3 the value of each expression log 36 3 log 7 3 log 3 256
Chapter 6 Section 4 Study Guide and Intervention Common Logarithms Common Logarithms Base 10 logarithms are called common logarithms The expression log10 x is usually written without the subscript as log x Use the key on your calculator to evaluate common logarithms The relation between exponents and logarithms gives the following identity