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Warm-up 12-7

Warm-up 12-7. 1) Condense 3log 2 2 – ½ log 2 64. Lesson 12-7 Exponential and Logarithmic Equations. Objectives Solve exponential & logarithmic equations Solve problems involving exponential and logarithmic formulae. Solving Exponential Equations 5 x = 7

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Warm-up 12-7

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  1. Warm-up 12-7 1) Condense 3log2 2 – ½ log2 64

  2. Lesson 12-7Exponential and Logarithmic Equations Objectives Solve exponential & logarithmic equations Solve problems involving exponential and logarithmic formulae

  3. Solving Exponential Equations 5x = 7 Take the LOG of both sides log 5x = log 7 Use LOG properties x log 5 = log 7 Solve for x x = 1.2091 Example 1 Solve 35x – 2 = 27

  4. Solving LOG Equations log(x – 1) + log(x + 1) = 1 Condense to a single LOG log((x – 1)(x + 1)) = 1 Convert to exponential 101 = (x – 1)(x + 1) Solve for x 10 = x2 – 1 11 = x2 is the only answer as the x-values are positive

  5. Example 2 Solve log(x + 2) + log(x – 2) = 1

  6. EXP-Log Formulae Amount, Principal rate, time → Loudness, Intensity I0 = minimum intensity → R = magnitude, Intensity I0 = minimum intensity →

  7. Example 3 How long for $1000 to double at 8%? HW 120

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