(lg根号27+lg5-lg10根号2)÷lg1.5

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(lg根号27+lg5-lg10根号2)÷lg1.5(lg根号27+lg5-lg10根号2)÷lg1.5(lg根号27+lg5-lg10根号2)÷lg1.5(lg根号27+lg5-lg10根号2)÷l

(lg根号27+lg5-lg10根号2)÷lg1.5
(lg根号27+lg5-lg10根号2)÷lg1.5

(lg根号27+lg5-lg10根号2)÷lg1.5
(lg根号27+lg5-lg10根号2)÷lg1.5=lg5根号27/(10根号2)÷lg1.5=lg[3/2*根号(3/2)]÷lg3/2
=[lg3/2+lg根号(3/2)]/lg3/2=1+1/2=3/2