4-44-4 Properties of Logarithms - PC\|MAC

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Warm Up Lesson Presentation Lesson Quiz

HHooltltMAclDgeoburgaal2Algebra 2

4-4 Properties of Logarithms

Warm Up

Simplify. 1. (26)(28) 214

2. (3?2)(35) 33

3.

38

4.

44

5. (73)5

715

Write in exponential form.

6. log x = 1 x1 = x

x

7. 0 = log 1 x0 = 1

x

Holt McDougal Algebra 2

4-4 Properties of Logarithms

Objectives

Use properties to simplify logarithmic expressions. Translate between logarithms in any base.

Holt McDougal Algebra 2

4-4 Properties of Logarithms

The logarithmic function for pH that you saw in the previous lessons, pH =?log[H+], can also be expressed in exponential form, as 10?pH = [H+]. Because logarithms are exponents, you can derive the properties of logarithms from the properties of exponents

Holt McDougal Algebra 2

4-4 Properties of Logarithms

Remember that to multiply powers with the same base, you add exponents.

Holt McDougal Algebra 2

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