Presentation is loading. Please wait.

Presentation is loading. Please wait.

1 Integrated Mathematics Solving Exponential Equations.

Published byArchibald Garrison Modified over 8 years ago

Similar presentations

Presentation on theme: "1 Integrated Mathematics Solving Exponential Equations."— Presentation transcript:

1 1 Integrated Mathematics Solving Exponential Equations

2 2 Think!

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

4 4 Convert to the same base Equate the indices

5 5 Convert to the same base Equate the indices

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

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

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

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

10 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 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 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 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 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 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 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 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

Download ppt "1 Integrated Mathematics Solving Exponential Equations."

Similar presentations

Parallel Lines. We have seen that parallel lines have the same slope.

Parallel Lines. We have seen that parallel lines have the same slope.
#1 Factor Each (to prime factors): #2 #3 #4 Solve:

#1 Factor Each (to prime factors): #2 #3 #4 Solve:
Solving Equations. -132 = 4x – 5(6x – 10) -132 = 4x – 30x + 50 -132 = -26x + 50 -182 = -26x 7 = x.

Solving Equations = 4x – 5(6x – 10) -132 = 4x – 30x = -26x = -26x 7 = x.
EXAMPLE 3 Write an equation for a function

EXAMPLE 3 Write an equation for a function
Name : ______________ ( ) Class : ________ Date :_________ Objectives: Unit 7: Logarithmic and Exponential Functions Graphs Solving Equations of the Form.

Name : ______________ ( ) Class : ________ Date :_________ Objectives: Unit 7: Logarithmic and Exponential Functions Graphs Solving Equations of the Form.
Warm up Solve the following for the indicated variable: 1. 2. 3. 4.

Warm up Solve the following for the indicated variable:
Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.
1 Integrated Mathematics Solving Exponential Equations.

1 Integrated Mathematics Solving Exponential Equations.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.

Substitute 0 for y. Write original equation. To find the x- intercept, substitute 0 for y and solve for x. SOLUTION Find the x- intercept and the y- intercept.
11.3 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA Ex: Rewrite log 5 15 using the change of base formula.

11.3 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA Ex: Rewrite log 5 15 using the change of base formula.
8.5 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA where M, b, and c are positive numbers and b, c do not equal one. Ex: Rewrite log.

8.5 – Exponential and Logarithmic Equations. CHANGE OF BASE FORMULA where M, b, and c are positive numbers and b, c do not equal one. Ex: Rewrite log.
Solving System of Linear Equations

Solving System of Linear Equations
Solving Exponential and Logarithmic Equations There are lots of them in Sec. 3.5a.

Solving Exponential and Logarithmic Equations There are lots of them in Sec. 3.5a.
Find the value of y such that

Find the value of y such that
Equations Reducible to Quadratic

Equations Reducible to Quadratic
Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.

Substitution Method: 1. Solve the following system of equations by substitution. Step 1 is already completed. Step 2:Substitute x+3 into 2 nd equation.
Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.

Logarithms 1 Converting from Logarithmic Form to Exponential Form and Back 2 Solving Logarithmic Equations & Inequalities 3 Practice Problems.
STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS.

STUDENTS WILL BE ABLE TO: CONVERT BETWEEN EXPONENT AND LOG FORMS SOLVE LOG EQUATIONS OF FORM LOG B Y=X FOR B, Y, AND X LOGARITHMIC FUNCTIONS.
Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.

Solving by Elimination Example 1: STEP 2: Look for opposite terms. STEP 1: Write both equations in Standard Form to line up like variables. STEP 5: Solve.

Similar presentations

Ads by Google