The results show that all items of the proportional sequence {an} are positive and A4 * A7 + A5 * A6 = 16, log2a1 + log2a2 +... + log2a10 =?

The results show that all items of the proportional sequence {an} are positive and A4 * A7 + A5 * A6 = 16, log2a1 + log2a2 +... + log2a10 =?

a(n)=aq^(n-1),a>0,q>0.16 = a(4)*a(7)+a(5)*a(6)=a^2*q^9 + a^2*q^(9) = 2a^2q^9,a^2q^9 = 8.log_ {2}a(1)+log_ {2}a(2)+...+log_ {2}a(10)=log_ {2}[a(1)a(2)...a(10)]=log_ {2}[a^(10)q^(1+2+...+9)]=log_ {2}[a^(10)q^...