(lg0.5+lg1+lg2+.+lg1024)*1/lg2
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(lg0.5+lg1+lg2+.+lg1024)*1/lg2
(lg0.5+lg1+lg2+.+lg1024)*1/lg2
(lg0.5+lg1+lg2+.+lg1024)*1/lg2
(lg0.5+lg1+lg2+.+lg1024)*1/lg2
=(lg1/2+0+lg2+.+lg2^10)*1/lg2
=(-lg2+0+lg2+.+10lg2)*1/lg2
=-1+0+1+.+10
=1+2+3+4.+10-1
=(10+1)*10/2-1
=55-1=54