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Linear Law - Linearisation Using Logarithms

Linear Law - Linearisation Using Logarithms

TGM Original Questions

The figure shows a straight line graph which is obtained by plotting \(\lg y\) against \(\lg \frac{1}{x}\).

  1. Find the value of \(\theta\).
  2. Express \(\lg y\) in terms of \(\lg \frac{1}{x}\).
  3. Hence, express \(y^4\) against \(\frac{1}{x}\).

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Answer:(a) \( \theta = 0.245\) rad (to \(3\) s.f.) (b) \(\lg{y} = \frac{1}{4}\lg{\left(\frac{1}{x}\right)} +2\) (c) \(y^4 = \left(\frac{1}{x}\right)(10^8) \)

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