1 Integrated Mathematics Solving Exponential Equations.

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Presentation transcript:

1 Integrated Mathematics Solving Exponential Equations

2 Think!

3 Re-look into the problem: Convert to the same base Equate the indices

4 Convert to the same base Equate the indices

5 Convert to the same base Equate the indices

6 Solving Exponential Equations Product/Division Exponential Equations Addition/SubtractionExponentialEquations

7 Solving Product/Division Exponential Equations Example: Convert to the same base Equate the indices Convert base to its prime factors

8 Convert to the same base Equate the indices Convert base to its prime factors Product/Division Exponential Equations

9 Convert to the same base Equate the indices Convert base to its prime factors Product/Division Exponential Equations

10 Solving Addition/Subtraction Exponential Equations Example: Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for x Equate Indices or Bases Solve for x Substitution Method

11 Addition/Subtraction Exponential Equations Convert to the same base or power Equate Indices Convert base to its prime factors Solve for x Check your answer:

12 Addition/Subtraction Exponential Equations Convert to the same base or power Equate Indices Convert base to its prime factors Solve for x Check your answer:

13 Addition/Subtraction Exponential Equations Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for x Check your answer:

14 Addition/Subtraction Exponential Equations Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for x Check your answer:

15 Addition/Subtraction Exponential Equations Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for t

16 Addition/Subtraction Exponential Equations Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for x

17 Summary Exponential Equations Product/Division Exponential Equations Addition/Subtraction Convert to the same base Equate the indices Convert base to its prime factors Convert to the same base or power Let y be the common term Convert base to its prime factors Solve for y Solve for x Equate Indices or Bases Solve for x