1.13: Linear law: lg⁡y\lg y in terms of xx

0606/12/O/N/17 — Question 5 · 7 marks

When lg⁡y\lg y is plotted against xx, a straight line is obtained which passes through the points (0.6,0.3)(0.6, 0.3) and (1.1,0.2)(1.1, 0.2).
(i)
Find lg⁡y\lg y in terms of xx.
[4]
(ii)
Find yy in terms of xx, giving your answer in the form y=A(10bx)y = A(10^{bx}), where AA and bb are constants.
[3]