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Algebra 3 Warm-Up 5.4 A Solve each for x 1. 4 x + 7 = 15 2. = 20 3. = 7

Algebra 3 Warm-Up 5.4 A Solve each for x 1. 4 x + 7 = 15 2. = 20 3. = 7. x = 2 x = 24 x = 17. Algebra 3 Lesson 5.4 A Objective: SSBAT solve exponential equations. Standards: 2.8.11S, 2.1.11A. Exponential Equation An equation of the form b x = a

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Algebra 3 Warm-Up 5.4 A Solve each for x 1. 4 x + 7 = 15 2. = 20 3. = 7

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  1. Algebra 3 Warm-Up 5.4 A Solve each for x 1. 4x + 7 = 15 2. = 20 3. = 7 x = 2 x = 24 x = 17

  2. Algebra 3 Lesson 5.4 A Objective: SSBAT solve exponential equations. Standards: 2.8.11S, 2.1.11A

  3. Exponential Equation • An equation of the form bx = a • The variable you are solving for is in the Exponent • Example: 5x = 100

  4. Solving an exponential equation Isolate the term with the variable 2. Change to logarithmic form Solve for x

  5. Examples: Solve for x. Round to 4 decimal places. 3x = 4 x = log3 4 x = x = 1.2619

  6. 5x = 100 x = log5 100 x = x = 2.8614

  7. 73x = 20 3x = log7 20 3x = 3x = 1.5395 x = 0.5132

  8. 62x = 21 2x = log6 21 2x = 2x = 1.6992 x = 0.8496

  9. 3x+7 = 101 • x + 7 = log3 101 • x + 7 = • x + 7 = 4.2009 • x = -2.7991

  10. 8x-5 = 6 x – 5 = log8 6 x – 5 = x – 5 = 0.8617 x = 5.8617

  11. 5 + 10x = 20 10x= 15 x = log10 15 x = 1.1761

  12. 8. 6x – 11 = 56 6x = 67 x = log6 67 x = x = 2.3467

  13. On Your Own: Solve each. 9x = 4 Answer: x = 0.6309 2. 72x = 118 Answer: x = 1.2258

  14. Homework Worksheet 5.4 A

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