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Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

The figure shows a straight-line graph which is obtained by plotting \(\lg y\) against \(\lg x\).

  1. Find the value of \(\theta\).
  2. Express \(\lg y\) in terms of \(\lg x\).
  3. Hence, express \(y^3\) in terms of \(x\).

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Answer:(a) \(\theta=18.4^\circ\text{ (1 d.p.)}\) (b) \(\displaystyle \lg y=\frac{1}{3}\lg x+1\) (c) \(y^3=1000x\)

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