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# Solving Exponential Equations Using Logarithms PowerPoint PPT Presentation

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.

Solving Exponential Equations Using Logarithms

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## Solving Exponential Equations Using Logarithms

Chapter 8.6

### 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