Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Still Confused?

Try reviewing these fundamentals first.

Nope, I got it.

That's that last lesson.

Start now and get better math marks!

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Get Started NowStart now and get better math marks!

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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 ${a^x \over a^y}=a^{(x-y)}$,

Related concepts: Derivative of inverse trigonometric functions, Derivative of logarithmic functions,

- 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".

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 1060 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