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4.6 ( M2 ) Solve Exponential Equations and Inequalities

4.6 ( M2 ) Solve Exponential Equations and Inequalities. We will go over questions from 3.9 and 4.6 HW tomorrow . Performance Exam: Dec. 2 Last Unit Test: Dec. 8 EOCT: Dec. 16 (6 th ), Dec. 17 (7 th ) . Vocabulary .

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4.6 ( M2 ) Solve Exponential Equations and Inequalities

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  1. 4.6 (M2)Solve Exponential Equations and Inequalities We will go over questions from 3.9 and 4.6 HW tomorrow  Performance Exam: Dec. 2Last Unit Test: Dec. 8EOCT: Dec. 16 (6th), Dec. 17 (7th)

  2. Vocabulary • Exponential Equations: equations in which variable expressions occur as exponents. • Exponential inequalities in one variable: inequalities that can be written in the form: • abx + k < 0 • abx + k < 0 • abx + k > 0 • abx + k > 0

  3. Example 1: • Solve 125x = 25x+ 1 • We want 125 and 25 to have the same base!

  4. Example 2: • Solve 4x = (1/2)x – 3by graphing x = 1

  5. You Try: • Solve 3x = (1/9)x – 3 • Solve 43x = 2x +1 by graphing

  6. Example 3: Remember: when you multiply or divide by a negative it flips the inequality sign! • Solve 43z< 8z + 1 • Just like an example 1, we want them to have the same base!

  7. Example 4: • Solve 22x + 1 – 1 > -0.75 by graphing x > -1.5

  8. You Try: • Solve 42x – 5 < 643x • Solve 24x – 3 + 0.75 > 1 by graphing

  9. Homework: • P. 130 #1-15odd

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