\( \definecolor{colordef}{RGB}{249,49,84} \definecolor{colorprop}{RGB}{18,102,241} \)
The random variable \(X\) has the density \( f(x) = \frac{1}{\ln(2) x} \), on the interval \([1, 2]\).
Find \( P\left(1 \leq X \leq \frac{3}{2}\right) \).

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