4 8 Solve Exponential and Logarithmic Inequalities Test

4. 8 Solve Exponential and Logarithmic Inequalities Test 2 Unit 4 over 4. 6 -4. 9 on Wednesday 2/16/2011

Solving Exponential Inequalities… Let’s review exponentials p Remember what an exponential graph looks like? Graph p Solve.

Example 1: p Solve 4 x + 1 > 32 n n n Step 1: Write the equation that corresponds to inequality. Step 2: Solve for x. Step 3: plot the x-value on a number line and test intervals or use your knowledge of the graph. OR Asymptote?

Example 1: p Solve 4 x + 1 > 32 [1. 5, ∞)

You Try: 1. Solve the exponential inequality 32 x – 1 < 4 2. 73 x – 4 < 18 p

Solving Logarithmic Inequalities… p Remember what an logarithmic graph looks like? Graph p Solve.

Example 2: p 1. Solve the logarithmic inequality log 5 x < 2 p p p Step 1: Write the corresponding equation Step 2: solve for x. Step 3: plot the x-value on a number line and test intervals or use your knowledge of the graph. OR Asymptote?

Example 2: p 1. Solve the logarithmic inequality log 5 x < 2 T! U HO C T ues l A a W x-v n the y an lot o m p How d you line? er ul sho numb (0, 25)

Example 2 Cont’d: p 2. Solve the logarithmic inequality log 4 x + 8 > 11 [64, ∞)

You Try: 1. Solve the logarithmic inequalities log 62 x + 7 < 10 2. log 9(x – 8) < 3/2 p

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