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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).

16.

Logarithms

16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Evaluating logarithms using change-of-base formula

16.6

Natural log: ln

16.7

Converting from exponential form to logarithmic form

16.8

Product law of logarithms

16.9

Solving logarithmic equations

16.10

Logarithmic scale: Richter scale (earthquake)

16.11

Logarithmic scale: pH scale

16.12

Logarithmic scale: dB scale

16.13

Finance: Future value and present value

We have over 1100 practice questions in Algebra 2 for you to master.

Get Started Now16.1

What is a logarithm?

16.2

Converting from logarithmic form to exponential form

16.3

Evaluating logarithms without a calculator

16.4

Common logarithms

16.5

Evaluating logarithms using change-of-base formula

16.6

Natural log: ln

16.7

Converting from exponential form to logarithmic form

16.8

Product law of logarithms

16.10

Logarithmic scale: Richter scale (earthquake)

16.11

Logarithmic scale: pH scale

16.12

Logarithmic scale: dB scale

16.13

Finance: Future value and present value