=(lg125/lg2+lg25/lg2+lg5/lg8)(lg2/lg125+lg4/lg25+lg8/lg5)
=(3lg5/lg2+2lg5/lg2+lg5/3lg2)(lg2/3lg5+2lg2/2lg5+3lg2/lg5)
=(3+2+1/3)*(lg5/lg2)*(1/3+1+3)*(lg2/lg5)
=16/3*13/3
=208/9
(log(2)125+log(2)25+log(8)5)*(log(125)2+log(25)4+log(5)8)
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