How deeply does Math for Web Design cover logarithm?

Defines logarithms through a base-and-exponent example, then applies log() in a CSS calculation.

Logarithm

A logarithm is the exponent to which a base must be raised to produce a specified number.

A logarithm asks for the exponent that turns a base into a number. In log(8, 2) = 3, the base 2 raised to 3 produces 8. CSS log(x, base) makes that calculation available inside CSS math expressions. section 3.2.4

Logarithmic growth is useful when each additional step should increase a value more gently than the previous one. A font scale can add one to a step, take its logarithm, then multiply the result by 1rem.

A logarithmic type scale

Set --step on each heading and use font-size: calc((log(var(--step) + 1) + 1) * 1rem). Steps 0 through 12 produce a graduated heading scale while preserving a 1rem base size.

How Math for Web Design covers it

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Also explained in

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Statistics Every Programmer NeedsA logarithm is the exponent to which a specified base must be raised to obtain a given number.
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Grokking Data StructuresA logarithmic function grows proportionally to the logarithm of its input and therefore increases very slowly as input size grows.

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This explainer was generated by Manning's knowledge graph from the text of Math for Web Design. The section links point to the parts of the book it draws on.