Logarithms

A logarithm is an index you have been asked for instead of given. Six lessons take that one idea from the definition through to the laws, the equations they solve, and the scales that use them to fit a range of a million million onto a dial.

6lessons

12syllabus points

3-4hstudy

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Lessons

What a Logarithm Is

Definition as an index; translating between index form and logarithmic form

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Logarithms Numerically and Graphically

Tables of values; reflection in y = x; domain, range, asymptote and direction

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Where the Log Laws Come From

Deducing the product, quotient and power laws from the index laws

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Using the Log Laws

The standard results; gathering into a single logarithm to evaluate and simplify

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Solving Exponential and Logarithmic Equations

Freeing the unknown with the inverse operation; the domain check and rejected roots

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Logarithmic Scales

pH, Richter magnitude and decibels; reading a difference as a ratio

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Focus Area Snapshot

6lessons

12syllabus points

18worked examples

48questions

Where this leads

Logarithms are a Path focus area, which means they sit outside the Core and prepare you for Mathematics Advanced in Year 11. Work through the lessons in order, each one builds on the last.

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