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Solve Exponential and Logarithmic Inequalities

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4.8 notes.notebook 1 February 07, 2012 Warm Up 1. What was the score of the super bowl football game? 2. What was your favorite commercial? Section 4.8 Solve Exponential and Logarithmic Inequalities Solving Exponential Inequalities… Let’s review exponentials Remember what an exponential graph looks like? Graph Solve Solving Exponential Inequalities… Let’s review exponentials Solve Example 1 Solve the exponential inequality. (a) Step 1: Write the equation that corresponds to inequality. Step 2: Solve for x. Step 3: plot the xvalue on a number line and test intervals or use your knowledge of the graph. Example 1 Solve the exponential inequality. (b) Step 1: Write the equation that corresponds to inequality. Step 2: Solve for x. Step 3: plot the xvalue on a number line and test intervals or use your knowledge of the graph.
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Page 1: Solve Exponential and Logarithmic Inequalities

4.8 notes.notebook

1

February 07, 2012

Warm Up1. What was the score of the super bowl football game?

2. What was your favorite commercial?

Section 4.8

Solve Exponential and Logarithmic Inequalities

Solving Exponential Inequalities…Let’s review exponentialsRemember what an exponential graph looks like?

Graph Solve

Solving Exponential Inequalities…Let’s review exponentialsSolve

Example 1Solve the exponential inequality.(a)• Step 1: Write the equation that corresponds to inequality. • Step 2: Solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Example 1Solve the exponential inequality.(b)• Step 1: Write the equation that corresponds to inequality. • Step 2: Solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Page 2: Solve Exponential and Logarithmic Inequalities

4.8 notes.notebook

2

February 07, 2012

Example 1Solve the exponential inequality.(c)• Step 1: Write the equation that corresponds to inequality. • Step 2: Solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Solving Logarithmic Inequalities…Let’s review logarithms. Remember what a logarithmic graph looks like?

Graph Solve

Solve

Solve

Example 2Solve the inequality.(a)• Step 1: Write the corresponding equation• Step 2: solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Example 2Solve the inequality.(b)• Step 1: Write the corresponding equation• Step 2: solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Example 2Solve the inequality.(c)• Step 1: Write the corresponding equation• Step 2: solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Example 2Solve the inequality.(d)• Step 1: Write the corresponding equation• Step 2: solve for x. • Step 3: plot the x­value on a number line and test intervals or use your knowledge of the graph. 

Page 3: Solve Exponential and Logarithmic Inequalities

4.8 notes.notebook

3

February 07, 2012

Essential QuestionHow do you solve exponential & logarithmic inequalities?

Tonight's HW:p. 167 first column problems

#1, 4, 7, 10, 13, 16


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