Integrated Mathematics

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Presentation transcript:

Integrated Mathematics Solving Exponential Equations

Convert to the same base Equate the indices

Convert to the same base Equate the indices

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

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

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

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

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

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

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

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

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

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

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