Suppose that \(\ln(X)\) follows a standard normal distribution \(N(0,1)\). Compute the variance of \(X^4\). Express your answer in the form \(e^a - e^b\) for positive integers \(a\) and \(b\), and then give the sum \(a+b\).

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Lognormal Fourth Moment

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36. Lognormal Fourth Moment

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