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3.4 Solving Exponential & Logarithmic Equations
3.4 Solving Exponential & Logarithmic Equations
Standards Standards
13, 1413, 14
Today’s Goal: We will Solve simple exponential and logarithmic equations by use exponential and logarithmic laws.
Solve by Equating Exponents
Solve by Equating Exponents
Goal 1: Solving Exponential FunctionsGoal 1: Solving Exponential Functions
Solve 43x 8x1
More Example More Example
Goal 1: Solving Exponential FunctionsGoal 1: Solving Exponential Functions
24 x 32x 1a. b. 92x 813x 2
Taking the Log of both sides
Taking the Log of both sides
Goal 1: Solving Exponential FunctionsGoal 1: Solving Exponential Functions
Solve 2x 7
More Example More Example
Goal 1: Solving Exponential FunctionsGoal 1: Solving Exponential Functions
Solve 5x 18 Solve 4 x 15a. b.
Solving Log Equations
Solving Log Equations
Goal 2: Solving Logarithmic FunctionsGoal 2: Solving Logarithmic Functions
log3 5x 1 log3 x 7
More Example More Example
Goal 2: Solving Logarithmic FunctionsGoal 2: Solving Logarithmic Functions
log4 x 3 log4 8x 17
More Example More Example
Goal 2: Solving Logarithmic FunctionsGoal 2: Solving Logarithmic Functions
log5 x 4 2a. b. log 4 x 3 2