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A-Level CAIE Mathematics A23.2.4—Linearising relationshipsQuestion Bank

3.2.4—Linearising relationships

• use logarithms to transform a given relationship to linear form, and hence determine unknown constants by considering the gradient and/or intercept. e.g. y = kxn gives ln y = ln k + n ln x which is linear in ln x and ln y. y = k (ax) gives ln y = ln k + x ln a which is linear in x and ln y.

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