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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: 18:19
- Lesson: 29:53

In this section, we will bridge the gap between chemistry and mathematics by studying one of the many applications of logarithmic functions. We will learn about the pH Scale and explore how this logarithmic scale can be used to measure the acidity or basicity of a solution.

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.Pure water has a pH of 7. Vinegar has a pH of 3.

Complete the following 2 sentences:

(i) Pure water is __________ times as alkaline as vinegar.

(ii) Vinegar is __________ times as acidic as pure water. - 2.Lemon juice has a pH of 2.5.

Stomach acid is 8 times more acidic than lemon juice.

Tomato juice is 90 times more basic than lemon juice

Find the pH of:

(i)stomach acid

(ii) tomato juice

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