若{an}(an>0)成等比数列,a1a100=64,求log2a1+log2a2+…+log2a100

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若{an}(an>0)成等比数列,a1a100=64,求log2a1+log2a2+…+log2a100

log2a1+log2a2+…+log2a100
=log2(a1*a2*...a100)
=log2(a1*a100)^50
=50log2(64)
=50x6
=300