(lg√2+lg3-lg√10)/lg1.8

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(lg√2+lg3-lg√10)/lg1.8(lg√2+lg3-lg√10)/lg1.8(lg√2+lg3-lg√10)/lg1.8=lg(√2×3÷√10)/lg1.8=lg(3/√5)/lg(9/

(lg√2+lg3-lg√10)/lg1.8
(lg√2+lg3-lg√10)/lg1.8

(lg√2+lg3-lg√10)/lg1.8
=lg(√2×3÷√10)/lg1.8
=lg(3/√5)/lg(9/5)
=lg(3/√5)/lg(3/√5)²
=lg(3/√5)/[2lg(3/√5)]
=1/2

(lg√2+lg3-lg√10)/lg1.8
=lg√(2*9/10)/lg1.8
=lg√1.8/lg1.8
=1/2*lg1.8/lg1.8
=1/2