lg2+lg2^2+lg2^3+……+lg2^10=
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![lg2+lg2^2+lg2^3+……+lg2^10=](/uploads/image/z/13872663-63-3.jpg?t=lg2%2Blg2%5E2%2Blg2%5E3%2B%E2%80%A6%E2%80%A6%2Blg2%5E10%3D)
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lg2+lg2^2+lg2^3+……+lg2^10=
lg2+lg2^2+lg2^3+……+lg2^10=
lg2+lg2^2+lg2^3+……+lg2^10=
lg2+lg2^2+lg2^3+……+lg2^10
=lg2+2lg2+3lg2+……+10lg2
=(1+2+3+...+10)lg2
=55lg2