For what value of n does
((2x)^(1/2)*(2x^2)^(1/3))/2^2 = 2^n
How do I find n? The best I've come up with is (7lnx-7ln2)/6ln2

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Hint: \[ (2x)^n = 2^n x^n. \]Would you mind telling us what, exactly, you are having trouble with?

What I just wrote is what the problem asks, I just wanted to clear any confusions.

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