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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

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