The curve \( log_2(x) = log_3(y)\) passes through the points \( (1,1) \) and \( (8,27) \).
Let \(A\) be the area of the region between the curve, the \(x\)-axis and the lines \( x=1 \) and \( x=8\).
Let \(B\) be the area of the region between the curve, the \(y\)-axis and the lines \(y=1\) and \(y=27\).
What is the value of \( \lvert A-B \rvert \) to 3d.p.?
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