Variables x and y are related so that, when lg y is plotted on the vertical axis

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Variables x and y are related so that, when lg y is plotted on the vertical axis and lg x is plotted on the horizontal axis, a straight-line graph passing though the points (4, 8) and (8, 14) is obtained.

a. Express y in terms of x, giving your answer in the form y = a × xb.

b. Find the value of x when y = 51.2.

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