lg5²+lg2*lg50化简

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lg5²+lg2*lg50化简

lg5²+lg2*lg50化简
lg5²+lg2*lg50化简

lg5²+lg2*lg50化简
lg5²+lg2*lg50化简
=lg5²+lg2(lg5×5×2)
=lg5²+lg2(2lg5+lg2)
=log5²+2×lg2×lg5+(lg2)²
=(lg5+lg2)²
=(lg10)²
=1²
=1;
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lg5²+lg2*lg50=lg5²+lg2*(lg10+lg5)=lg5²+lg2*(1+lg5)
=lg5²+lg2lg5+lg2=lg5(lg5+lg2)+lg2=lg5+lg2=lg10=1