A-Level Maths Edexcel (9MA0)

#1.6.6 Logarithmic modelling

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Use logarithmic graphs to estimate parameters in relationships of the form y=axny = ax^n and y=kbxy = kb^x, given data for xx and yy.

y=axny = ax^n: Plot log⁡y\log{y} against log⁡x\log{x} and obtain a straight line where the intercept is log⁡a\log{a} and the gradient is nn.

y=kbxy = kb^x: Plot log⁡y\log{y} against xx and obtain a straight line where the intercept is log⁡k\log{k} and the gradient is log⁡b\log{b}.