To simplify this expression, we can use the properties of logarithms.

First, let's simplify each logarithm separately:

log7 14 = 2, because 7^2 = 49 < 14 < 7^3 = 343

1/3log7 56 = log7 56^(1/3) = log7 3.71 = 0.642

log6 30 = 2, because 6^2 = 36 > 30 > 6^1 = 6

1/2log6 150 = log6 150^(1/2) = log6 12.25 = 2

Now, let's plug these values back into the original expression:

log7 14 - 1/3log7 56 / log6 30 - 1/2log6 150

= 2 - 0.642 / 2 - 2
= 1.358 / 0 (which is impossible)

Therefore, the expression is undefined.