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Recovering a logarithmic relationship

Recovering a logarithmic relationship

4 marks
TGM Original
A straight-line graph of y3 against ln x passes through (0,2) and (3,11). Find the relationship between x and y. Find x when y=2, giving an exact answer.

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Answer:\(y^3=3\ln x+2\), \(x>0\); \(x=\mathrm e^2\).

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