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Lesson_8.6_SolvingLogEqns

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Lesson_8.6_SolvingLogEqns.notebook 8.6 Solving Logarithmic Equations To solve exponential equations, we can apply a logarithm to both sides of the equation. To solve logarithmic equations, we can rewrite the equation in exponential form, and then solve the resulting exponential equation. The following property is important when solving logarithmic equations: If log a M = log a N , then = (where a , M , and N > 0) Example #1: Solve each logarithmic equation. (a) log 6 ( x + 5) = 2 (b) log 3 x = 3 log 3 27 (c) log 4 x = 2 log 4 6 ­ log 4 3 (d) log 8 x + log 8 (x + 2) = log 8 8

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Lesson_8.6_SolvingLogEqns.notebook (e) 1 ­ log(x ­ 4) = log(x + 5) (f) log(x + 2) + log(2x ­ 1) = 1
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