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- Applications of Exponential and Logarithmic Functions

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

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).

19.

Applications of Exponential and Logarithmic Functions

19.1

Exponential growth and decay by a factor

19.2

Exponential decay: Half-life

19.3

Exponential growth and decay by percentage

19.4

Finance: Compound interest

19.5

Continuous growth and decay

19.6

Logarithmic scale: Richter scale (earthquake)

19.7

Logarithmic scale: pH scale

19.8

Logarithmic scale: dB scale

19.9

Finance: Future value and present value

We have over 1620 practice questions in UK Year 12 Maths for you to master.

Get Started Now19.1

Exponential growth and decay by a factor

19.2

Exponential decay: Half-life

19.3

Exponential growth and decay by percentage

19.4

Finance: Compound interest

19.5

Continuous growth and decay

19.6

Logarithmic scale: Richter scale (earthquake)

19.7

Logarithmic scale: pH scale

19.8

Logarithmic scale: dB scale

19.9

Finance: Future value and present value