(1/2)^3+log2(底)3(真数)3+log23是指数怎么解答案是-3/8

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(1/2)^3+log2(底)3(真数)3+log23是指数怎么解答案是-3/8
(1/2)^3+log2(底)3(真数)
3+log23是指数
怎么解
答案是-3/8

(1/2)^3+log2(底)3(真数)3+log23是指数怎么解答案是-3/8
原式=2^-(3+log2 3)
=2^(-3)*2^-(log2 3)
=1/8*(-3)=-3/8

(1/2)^(3+log23)
=[(1/2)^3] × [(1/2)^log(2)3]
= 1/8 × {1/[2^log(2)3] }
= 1/8 × {1/3 }
= 1/24

原式=[(1/2)的3次]*[2的(log2底3真数)次}
=(1/8)*(-3)
=-(3/8)
因为2^(log2(底)a(真数)=a