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LHS: because alnx = lnx^a, 2ln2x = ln(2x)² = ln4x²

Now, because ln and e are inverse functions, we take both sides to the power of e. Therefore:

e^{ln4x^2 ...}

So first we need to write down the proportionality relationship the question states. If we let n be the number of balls and r be the radius of the balls we can say n (proportional symbol) 1/r³....

As with any exam task, you should balance using your own ideas to engage critically with the text with, maintaining a strong focus on the requirements of the question. Before you start, ensure that you ha...