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Solving Exponential Equations Using Logarithms

Solving Exponential Equations Using Logarithms. Chapter 8.6. Remember Exponential and Logarithmic Functions are Inverses. 2 to what power = 7. Solve 2 x = 7. log 2 x = log 7. 1) Take the log of each side. log 2 x = log 7. 2) Use the Power Property. x log 2 = log 7.

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Solving Exponential Equations Using Logarithms

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  1. Solving Exponential Equations Using Logarithms Chapter 8.6

  2. Remember Exponential and Logarithmic Functions are Inverses 2 to what power = 7 • Solve 2x = 7 log 2x = log 7 1) Take the log of each side log 2x = log 7 2) Use the Power Property x log 2= log 7 3) Divide both sides by log 2 log 2 log 2 x = log 7 4) Use calculator to find the approximate value of x ≈ 2.807 log 2

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