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  1. Chapter 7 28 Glencoe Algebra 2 Skills Practice Solving Logarithmic Equations and Inequalities 7-4 Solve each equation. 1. 3x = log 6 216 2. x - 4 = log 3 243 3. log 4 (4x - 20) = 5 4. log 9 (3 - x) = log 9 (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 ...

  2. 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 = log b y if and only if x= y ...

  3. Solve Logarithmic Equations You can use the properties of logarithms to solve equations involving logarithms. Solve each equation. a. 2 log 3 x-log 3 4 = log 3 25 2 log 3 x - log 3 4 = log 3 25 Original equation log 3 x2 - log 3 4 = log 3 25 Power Property log 3 −x 2 4 = log 3 25 Quotient Property −x 2 4 = 25 Property of Equality for ...

  4. Unit 7: Exponential & Logarithmic Functions Homework 3: Intro to Logarithms Directions: Write each equation in exponential form. 1. log2128 = 7 2. 64 = 2 Directions: Write each equation in logarithmic form. 25b Directions: Evaluate each logarithm. Use the change of base formula when necessary. 7. 36 10. log_3 81 13. 1 16. 19. 35 10035 _ 8. 32 ...

  5. 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.

  6. Solve exponential equations and inequalities using common logarithms. • Evaluate logarithmic expressions using the Change of Base Formula. Follow-Up: Solving Exponential and Logarithmic Equations and Inequalities

  7. 4 Free worksheets with answer keys on logarithms. Each one has model problems worked out step by step, practice problems and challenge proglems

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