Straightening a fractional power

Straightening a fractional power

3 marks
TGM Original
For x>0, y=4sqrt(x). State the equation of the straight line obtained by plotting ln y against ln x, its gradient and its vertical intercept.

Solution:

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Answer:\(\ln y=\frac12\ln x+\ln4\); gradient \(1/2\), intercept \(\ln4\).

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