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8.6 Solving Exponential & Logarithmic Equations

Standards 13, 14. 8.6 Solving Exponential & Logarithmic Equations. Solve by Equating Exponents. Original Problem. Rewrite with base 2. Simplify exponents. Equate exponents. Simplify. Goal 1: Solving Exponential Functions. White Boards. a. b. Goal 1: Solving Exponential Functions.

stephen-david
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8.6 Solving Exponential & Logarithmic Equations

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  1. Standards 13, 14 8.6 Solving Exponential & Logarithmic Equations

  2. Solve by Equating Exponents Original Problem Rewrite with base 2 Simplify exponents Equate exponents Simplify Goal 1: Solving Exponential Functions

  3. White Boards a. b. Goal 1: Solving Exponential Functions

  4. Taking the Log of both sides Original Problem Take log2of each side Simplify Change-of-base formula Goal 1: Solving Exponential Functions

  5. White Boards a. b. Goal 1: Solving Exponential Functions

  6. More complicated... Solve by taking the log of both sides. Original Problem -4 from both sides log both sides Simplify +3 ÷2; Simplify Goal 1: Solving Exponential Functions

  7. White Boards Solve by taking the log of both sides. Goal 1: Solving Exponential Functions

  8. Solving Log Equations Original Problem Same bases cancel Isolate x Goal 2: Solving Logarithmic Functions

  9. White Boards Goal 2: Solving Logarithmic Functions

  10. Exponentiating... Original Problem Exponentiate both sides Simplify Isolate x Goal 2: Solving Logarithmic Functions

  11. White Boards a. b. Goal 2: Solving Logarithmic Functions

  12. Extraneous Solutions Goal 2: Solving Logarithmic Functions

  13. Solving Log Equations Goal 2: Solving Logarithmic Functions

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