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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,

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).

9.

Applications of Exponential and Logarithmic Functions

9.1

Exponential growth and decay by a factor

9.2

Exponential decay: Half-life

9.3

Exponential growth and decay by percentage

9.4

Finance: Compound interest

9.5

Continuous growth and decay

9.6

Logarithmic scale: Richter scale (earthquake)

9.7

Logarithmic scale: pH scale

9.8

Logarithmic scale: dB scale

9.9

Finance: Future value and present value

We have over 860 practice questions in Sixth Year Maths for you to master.

Get Started Now9.1

Exponential growth and decay by a factor

9.2

Exponential decay: Half-life

9.3

Exponential growth and decay by percentage

9.4

Finance: Compound interest

9.5

Continuous growth and decay

9.6

Logarithmic scale: Richter scale (earthquake)

9.7

Logarithmic scale: pH scale

9.8

Logarithmic scale: dB scale

9.9

Finance: Future value and present value