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Integrated Mathematics

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Presentation on theme: "Integrated Mathematics"— Presentation transcript:

1 Integrated Mathematics
Solving Exponential Equations

2

3 Convert to the same base Equate the indices

4 Convert to the same base Equate the indices

5 Exponential Equations Addition/Subtraction
Solving Exponential Equations Product/Division Exponential Equations Addition/Subtraction Exponential Equations

6 Exponential Equations
Product/Division Exponential Equations Convert base to its prime factors Apply Law Equate the indices

7 Exponential Equations
Product/Division Exponential Equations Convert base to its prime factors Apply Law Equate the indices

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

9 Addition/Subtraction Exponential Equations
Check your answer: Convert base to its prime factors Apply Law Check your answer: Equate Indices Solve for x

10 Addition/Subtraction Exponential Equations
Check your answer: Convert base to its prime factors Apply Law Check your answer: Equate Indices Solve for x

11 Addition/Subtraction Exponential Equations
Separate the Indices Apply Law Let y be the common term (Use a substitution) Check your answer: Solve for y Solve for x

12 Addition/Subtraction Exponential Equations
Separate the Indices Apply Law Use a substitution Check your answer: Solve for y Solve for x

13 Addition/Subtraction Exponential Equations
Separate the Indices Apply Law Use a substitution Solve for y Solve for t

14 Addition/Subtraction Exponential Equations
Separate the Indices Apply Law Use a substitution Solve for y Solve for x

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


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