Pure · Exponentials & logarithms
Chapter 1 · 3
The idea
Logarithms and non-linear data
Turning curved laws into straight lines with logs — y = ax^n becomes log-log linear, y = ab^x becomes log-linear — then reading the constants off the gradient and intercept.
A full journey — read it, play with it, work it, then earn real exam marks. Everything stays on the timeline below.
In this lesson — start anywhere
Pure · Exponentials & logarithms
Logarithms and non-linear data
Turning curved laws into straight lines with logs — y = ax^n becomes log-log linear, y = ab^x becomes log-linear — then reading the constants off the gradient and intercept.
Why it works
Straighten the curve
A scientist suspects their data follows — but all they have is a scatter of points, and no human can eyeball whether a curve is a power law, let alone read and off it. A straight line is different: you can test straightness with a ruler, and a line surrenders its two numbers instantly — gradient and intercept. So the move is to transform the law until it IS a straight line, by taking logs, and compare with .Keep reading — free
The rest of the explanation, plus 3 worked examples you step through move by move.
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