1 Integrated Mathematics Solving Exponential Equations.

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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 Solving Exponential Equations Product/Division Exponential Equations Addition/SubtractionExponentialEquations

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

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

8 Solving Addition/Subtraction Exponential Equations Example: Apply Law 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

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

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

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

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

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

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

15 Summary Exponential Equations Product/Division Exponential Equations Addition/Subtraction Apply Law Equate the indices Convert base to its prime factors Apply Law 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