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- Applications of Exponential and Logarithmic Functions

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Get Started Now- Lesson: 15:58
- Lesson: 27:05

We have previously learnt that applying logarithm on a humungous number will give us a much smaller number. Ever wondered how this property can help us in our daily lives? One of the many applications of logarithmic properties is to measure the magnitude of earthquakes, which we call the Richter magnitude scale. In this section, we will explore the concept of this logarithmic scale and its applications.

Basic Concepts:Exponents: Division rule ${a^x \over a^y}=a^{(x-y)}$,

- 1.The 2011 earthquake in Japan measured 9.0 on the Richter scale.

The 2008 earthquake in China measured 7.9 on the Richter scale.

Complete the following 2 sentences:

(i) The Japan earthquake was __________ times as intense as the China

earthquake.

(ii) The China earthquake was __________ times as intense as the Japan

earthquake. - 2.Earthquake "Alpha" measured 5.8 on the Richter scale.

Earthquake "Beta" was 200 times as intense as Earthquake "Alpha".

Earthquake "Gamma" was ${ 1\over 1000 }$ times as intense as Earthquake "Alpha".

What was the Richter scale readings for:

(i) Earthquake "Beta"

(ii) Earthquake "Gamma".

10.

Applications of Exponential and Logarithmic Functions

10.1

Exponential growth and decay by a factor

10.2

Exponential decay: Half-life

10.3

Exponential growth and decay by percentage

10.4

Finance: Compound interest

10.5

Continuous growth and decay

10.6

Logarithmic scale: Richter scale (earthquake)

10.7

Logarithmic scale: pH scale

10.8

Logarithmic scale: dB scale

10.9

Finance: Future value and present value

We have over 680 practice questions in Grade 12 Math for you to master.

Get Started Now10.1

Exponential growth and decay by a factor

10.2

Exponential decay: Half-life

10.3

Exponential growth and decay by percentage

10.4

Finance: Compound interest

10.5

Continuous growth and decay

10.6

Logarithmic scale: Richter scale (earthquake)

10.7

Logarithmic scale: pH scale

10.8

Logarithmic scale: dB scale

10.9

Finance: Future value and present value