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- Applications of Exponential and Logarithmic Functions

Still Confused?

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).

17.

Applications of Exponential and Logarithmic Functions

17.1

Exponential growth and decay by a factor

17.2

Exponential decay: Half-life

17.3

Exponential growth and decay by percentage

17.4

Finance: Compound interest

17.5

Continuous growth and decay

17.6

Logarithmic scale: Richter scale (earthquake)

17.7

Logarithmic scale: pH scale

17.8

Logarithmic scale: dB scale

17.9

Finance: Future value and present value

We have over 1140 practice questions in AU Year 11 Maths for you to master.

Get Started Now17.1

Exponential growth and decay by a factor

17.2

Exponential decay: Half-life

17.3

Exponential growth and decay by percentage

17.4

Finance: Compound interest

17.5

Continuous growth and decay

17.6

Logarithmic scale: Richter scale (earthquake)

17.7

Logarithmic scale: pH scale

17.8

Logarithmic scale: dB scale

17.9

Finance: Future value and present value