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- Applications of Exponential and Logarithmic Functions

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Try reviewing these fundamentals first

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Try reviewing these fundamentals first

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Get Started Now- Lesson: 12:51
- Lesson: 21:43

This time, we will bridge the gap between physics and mathematics by studying another application of logarithmic functions. We will learn about the dB Scale and explore how this logarithmic scale can be used to compare the loudness of sounds.

Basic Concepts: Exponents: Rational exponents

Related Concepts: Derivative of inverse trigonometric functions, Derivative of logarithmic functions

dB scale (loudness of sounds)

${{I_1}\over{I_2}} = 10 ^ {({{dB_1 - dB_2}\over10})}$

${{I_1}\over{I_2}} = 10 ^ {({{dB_1 - dB_2}\over10})}$

- 1.A piano playing (65dB) is __________ times as loud as a whisper (30dB).
- 2.A whisper (30dB) is __________ times as loud as a piano playing (65db).

43.

Applications of Exponential and Logarithmic Functions

43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value