等比数列an中,an>0,a3a4=4,则log2a1+log2a2+···+log2a6值为

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等比数列an中,an>0,a3a4=4,则log2a1+log2a2+···+log2a6值为
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等比数列an中,an>0,a3a4=4,则log2a1+log2a2+···+log2a6值为
等比数列an中,an>0,a3a4=4,则log2a1+log2a2+···+log2a6值为

等比数列an中,an>0,a3a4=4,则log2a1+log2a2+···+log2a6值为
log2a1+log2a2+···+log2a6
= log2 (a1*a2*...a6)
因为 a1*a6 = a3*a4
a2*a5 = a3*a4
所以:
log2 (a1*a2*...a6)
=log2 (a3*a4 * a3*a4 * a3*a4)
=log2 (4³)
= 6