求解数学!!
1个回答
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(1)1/2lg32/49-4/3lg√8+lg√245
=1/2lg32-1/2lg49-2lg2+1/2lg245
=5/2lg2-lg7-2lg2+1/2lg5+lg7
=1/2lg2+1/2lg5
=1/2
(2)lg5²+2/3lg8+lg5*lg20+(lg2)²
=2lg5+2lg2+lg5*(1+lg2)+(lg2)²
=2(lg5+lg2)+lg5+lg5lg2+(lg2)²
=2+lg5+lg2(lg5+lg2)
=2+lg5+lg2
=2+1
=3
(3)(lg√2+lg3-lg√10)/lg1.8
=(1/2lg2-lg3-1/2lg2-1/2lg5)/(2lg3-lg5)
=(-lg3-1/2lg5)/(2lg3-lg5)
=-1/2
=1/2lg32-1/2lg49-2lg2+1/2lg245
=5/2lg2-lg7-2lg2+1/2lg5+lg7
=1/2lg2+1/2lg5
=1/2
(2)lg5²+2/3lg8+lg5*lg20+(lg2)²
=2lg5+2lg2+lg5*(1+lg2)+(lg2)²
=2(lg5+lg2)+lg5+lg5lg2+(lg2)²
=2+lg5+lg2(lg5+lg2)
=2+lg5+lg2
=2+1
=3
(3)(lg√2+lg3-lg√10)/lg1.8
=(1/2lg2-lg3-1/2lg2-1/2lg5)/(2lg3-lg5)
=(-lg3-1/2lg5)/(2lg3-lg5)
=-1/2
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