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log12^27=O,求log6^16. O=lg27/lg12 =3lg3/(lg3+2lg2); lg2/lg3 =(3-O)/ 2O, lg3/lg2=2O/(3-O); lg6/lg16 =(lg3+lg2)/4lg2 =1/4(lg3/lg2+1) =(3+O)/4(3-O) lg16/lg6 =(12-4O)/(3+O).
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