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- Applications of Exponential and Logarithmic Functions

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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

43.

Applications of Exponential and Logarithmic Functions

43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value

We have over 2320 practice questions in ACCUPLACER Test Prep for you to master.

Get Started Now43.1

Exponential growth and decay by a factor

43.2

Exponential decay: Half-life

43.3

Exponential growth and decay by percentage

43.4

Finance: Compound interest

43.5

Continuous growth and decay

43.6

Logarithmic scale: Richter scale (earthquake)

43.7

Logarithmic scale: pH scale

43.8

Logarithmic scale: dB scale

43.9

Finance: Future value and present value