32.解法如下：
由12^x=3→x=ln^(3/ln12);
由12^y=2→y=ln^(2/ln12).
令 z=(1-2x)/(1-x-y),则
z=(1-2ln3/ln12)/(1-ln3/ln12-ln2/ln12)
=(ln12-ln9)/( ln12-ln3-ln2)
=( ln4/ln3)/ ln2
=( ln4-ln3)/ ln2
=2- ln3/ ln2
=2-log(3/2)
于是
12^((1-2x)/(1-x-y))=12^(2-log(3/2))
=12^2/12^(log(3/2))
=144/(2^(log(3/2))2^(log(3/2))3^(log(3/2)))
=144/3×3×(1/2)
=32.
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