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Solve Exponential and Logarithmic Inequalities

Solve Exponential and Logarithmic Inequalities. Solving Exponential and Logarithmic Inequalities…. You can use the same methods used to solve exponential and logarithmic inequalities as we learned to solve equations. Example 1:. Solve 4 x + 1 > 32

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Solve Exponential and Logarithmic Inequalities

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  1. Solve Exponential and Logarithmic Inequalities

  2. Solving Exponential and Logarithmic Inequalities… • You can use the same methods used to solve exponential and logarithmic inequalities as we learned to solve equations.

  3. Example 1: • Solve 4x + 1> 32 • 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 [1.5, ∞)

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

  5. Example 2: • Solve the logarithmic inequality • log5x < 2 • Step 1: Write the corresponding equation • Step 2: solve for x. • Step 3: plot the x-value on a number line and test intervals (0, 25) WATCH OUT! How many x-values should you plot on the number line?

  6. Example 2 Cont’d: • Solve the logarithmic inequality • log4x + 8 > 11 • Step 1: Write the corresponding equation • Step 2: solve for x. • Step 3: plot the x-value on a number line and test intervals [64, ∞)

  7. You Try: • Solve the logarithmic inequalities • log62x + 7 < 10 • log9(x – 8) > 3/2

  8. Homework: • P.

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