等比数列求解答等比数列a3×a11=16.则㏒2a2+㏒2a12是多少

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等比数列求解答等比数列a3×a11=16.则㏒2a2+㏒2a12是多少

等比数列求解答等比数列a3×a11=16.则㏒2a2+㏒2a12是多少
等比数列求解答
等比数列a3×a11=16.则㏒2a2+㏒2a12是多少

等比数列求解答等比数列a3×a11=16.则㏒2a2+㏒2a12是多少
a(n)=aq^(n-1),
16 = a(3)a(11)=a^2q^(12),
a(2)a(12)=a^2q^(12) = 16.
log_{2}[a(2)] + log_{2}[a(12)] = log_{2}[a(2)a(12)] = log_{2}[16] = 4