Section 4.5 Logarithmic Scales; Modeling

Before Starting this Section, Review

  1. 1 Exponential form for logarithms (Section 4.2 , page 445)

  2. 2 Properties of logarithms (Section 4.2 , page 446)

  3. 3 Rules for logarithms (Section 4.3 , page 471)

Objectives

  1. 1 Define pH.

  2. 2 Define the Richter scale for measuring earthquake intensity.

  3. 3 Define scales for measuring sound.

  4. 4 Define magnitude of star brightness.

  5. 5 Build models from data

A logarithmic scale is a scale in which logarithms are used in the measurement of quantities. Suppose we have a quantity that has a small positive range of variation (for example, from 0.00001=105 to 0.0001=104); then ...

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